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-Monte-Carlo-method_W640</image:title><image:caption>Source - https://www.researchgate.net/publication/334001505_Adaptive_Markov_chain_Monte_Carlo_algorithms_for_Bayesian_inference_recent_advances_and_comparative_study</image:caption></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/10/markovchainhistogram.png</image:loc><image:title>MarkovChainHistogram</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/10/bayestheorem.jpg</image:loc><image:title>BayesTheorem</image:title></image:image><lastmod>2020-11-22T02:51:26+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2020/11/15/hadamard-cnot/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/11/corrugated_iron_2.png</image:loc><image:title>Corrugated_Iron_2</image:title></image:image><lastmod>2025-11-28T17:57:43+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2020/11/15/understanding-qubit-notation/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/11/qubitnotation.png</image:loc><image:title>QubitNotation</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/11/additionmodulo2g.png</image:loc><image:title>AdditionModulo2g</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/11/notgate.png</image:loc><image:title>NOTGate</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/11/additionmodulo2f.png</image:loc><image:title>AdditionModulo2f</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/11/additionmodulo2e.png</image:loc><image:title>AdditionModulo2e</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/11/additionmodulo2d.png</image:loc><image:title>AdditionModulo2d</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/11/additionmodulo2c-1.png</image:loc><image:title>AdditionModulo2c</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/11/additionmodulo2b-1.png</image:loc><image:title>AdditionModulo2b</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/11/additionmodulo2-1.png</image:loc><image:title>AdditionModulo2</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/11/xorgate.png</image:loc><image:title>XORGate</image:title></image:image><lastmod>2020-11-15T08:05:24+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2019/12/05/why-does-shors-algorithm-need-a-qft-part-i/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/12/approximatingarealnumber.png</image:loc><image:title>ApproximatingARealNumber</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/12/qubitversusbit.png</image:loc><image:title>QubitVersusBit</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/12/shors_algorithm.png</image:loc><image:title>Shor's_Algorithm</image:title><image:caption>Figure 1 - Hopefully, by the end of this article, you will understand why that big $latex \mathcal{F}^{-1}$ is there. Image courtesy of www.wikipedia.com.</image:caption></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/12/shors_algorithm_3.png</image:loc><image:title>Shors_Algorithm_3</image:title></image:image><lastmod>2020-11-15T04:09:42+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2020/10/25/markov-chains/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/10/markovchainmap-1.png</image:loc><image:title>MarkovChainMap</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/10/markovchain3.png</image:loc><image:title>MarkovChain3</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/10/markovchain2.png</image:loc><image:title>MarkovChain2</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/10/markovchainperiodic4.png</image:loc><image:title>MarkovChainPeriodic4</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/10/markovchainperiodic3.png</image:loc><image:title>MarkovChainPeriodic3</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/10/markovchainperiodic2.png</image:loc><image:title>MarkovChainPeriodic2</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/10/markovchainperiodic.png</image:loc><image:title>MarkovChainPeriodic</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/10/markovchainreducible2.png</image:loc><image:title>MarkovChainReducible2</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/10/markovchainreducible.png</image:loc><image:title>MarkovChainReducible</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/10/markovchainirreducible.png</image:loc><image:title>MarkovChainIrreducible</image:title></image:image><lastmod>2020-10-25T03:17:31+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2020/09/29/introduction-to-the-swap-model/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/09/unfairdie.png</image:loc><image:title>UnfairDie</image:title><image:caption>Figure 5 - The results of rolling the unfair die.</image:caption></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/09/unfairdiemeasure.png</image:loc><image:title>UnfairDieMeasure</image:title><image:caption>Figure 4 - The Probability Measure associated with an unfair, or rigged, die.</image:caption></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/09/fairdairmeasure.png</image:loc><image:title>FairDairMeasure</image:title><image:caption>Figure 3 - The Probability Measure of the fair die.</image:caption></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/09/fairdie.png</image:loc><image:title>FairDie</image:title><image:caption>The probability distribution of a fair die. The sum of the individual events sum to 100%. The assignment of 16.67% to each event is provided by the probability measure.</image:caption></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/09/lognormaldistribution.png</image:loc><image:title>LognormalDistribution</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/09/swap_meet.jpg</image:loc><image:title>Swap_Meet</image:title></image:image><lastmod>2020-10-01T05:27:26+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2020/03/08/introduction-to-simm/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/03/simm.jpg</image:loc><image:title>SIMM</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/03/simm9.png</image:loc><image:title>SIMM9</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/03/simm7-1.png</image:loc><image:title>SIMM7</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/03/simm8.png</image:loc><image:title>SIMM8</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/03/simm6.png</image:loc><image:title>SIMM6</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/03/simm5.png</image:loc><image:title>SIMM5</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/03/simm4.png</image:loc><image:title>SIMM4</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/03/simm3.3.png</image:loc><image:title>SIMM3.3</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/03/simm2.2.png</image:loc><image:title>SIMM2.2</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/03/simm3.png</image:loc><image:title>SIMM3</image:title></image:image><lastmod>2023-12-13T19:59:34+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2020/09/27/what-makes-qubits-so-powerful-2/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/09/theblochsphere.png</image:loc><image:title>TheBlochSphere</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/09/rotationismultiplication.png</image:loc><image:title>RotationIsMultiplication</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/10/gate_canva-gate-to-countryside-madaqzyendm.jpg</image:loc><image:title>gate to countryside</image:title><image:caption>A field gate  wide open,Wiltshire,England</image:caption></image:image><lastmod>2023-12-13T12:20:19+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2020/02/16/why-does-shors-algorithm-need-a-qft-part-ii/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/02/unitcirclesin.png</image:loc><image:title>unitcirclesin</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/02/interferencearoundtheunitcircle.jpg</image:loc><image:title>InterferenceAroundTheUnitCircle</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/02/primitiverootsofunitypic.png</image:loc><image:title>PrimitiveRootsOfUnityPic</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/02/periodfindingcircuit.png</image:loc><image:title>PeriodFindingCircuit</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/02/discreteqftinmatrixform.png</image:loc><image:title>DiscreteQFTInMatrixForm</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/02/primitiverootsofunity5.png</image:loc><image:title>PrimitiveRootsOfUnity5</image:title></image:image><lastmod>2020-09-27T04:45:28+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2020/01/19/quantum-computing-qiskit-circuit-building-2/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/01/4qubit-square-circuit_falsecolor-ft.jpg</image:loc><image:title>4qubit-square-circuit_falsecolor-ft</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/12/quantum47.png</image:loc><image:title>Quantum47</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/12/quantum46.png</image:loc><image:title>Quantum46</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/12/quantum45.png</image:loc><image:title>Quantum45</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/12/quantum44.png</image:loc><image:title>Quantum44</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/12/quantum43.png</image:loc><image:title>Quantum43</image:title></image:image><lastmod>2020-01-19T12:30:28+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2020/01/05/git/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/01/gitkrakengloboardcreatenewcard.png</image:loc><image:title>GitKrakenGloBoardCreateNewCard</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/01/gitkrakengloboard.png</image:loc><image:title>GitKrakenGloBoard</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/01/gitcleanworkingtree.png</image:loc><image:title>GitCleanWorkingTree</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/01/gitignorefile.png</image:loc><image:title>GitIgnoreFile</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/01/gitwallpaper.jpg</image:loc><image:title>GitWallpaper</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/01/gitpycharm.png</image:loc><image:title>GitPyCharm</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/01/githubrequirementstxt.png</image:loc><image:title>GitHubRequirementsTxt</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/01/githubpushoriginmaster.png</image:loc><image:title>GitHubPushOriginMaster</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/01/githubcreaterepository.png</image:loc><image:title>GitHubCreateRepository</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2020/01/gitlog.png</image:loc><image:title>GitLog</image:title></image:image><lastmod>2020-01-18T10:14:10+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2015/03/15/downloading-quandl-data-using-python/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2015/03/downloadingquandldata1.jpg</image:loc><image:title>DownloadingQuandlData1</image:title></image:image><lastmod>2019-12-17T06:56:25+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2019/12/16/the-importance-of-being-eigenvalues/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/12/eiger.jpg</image:loc><image:title>eiger</image:title></image:image><lastmod>2019-12-17T06:49:40+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2019/11/29/quantum-computing-qiskit-circuit-building/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/11/shutterstock652948648jpg.jpeg</image:loc><image:title>shutterstock652948648jpg</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/11/qft-circuit.png</image:loc><image:title>QFT - Circuit</image:title></image:image><lastmod>2021-08-02T08:52:49+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2019/09/08/quantum-computing-qiskit/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/09/quantum42.png</image:loc><image:title>Quantum42</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/09/quantum41.png</image:loc><image:title>Quantum41</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/09/quantum39.png</image:loc><image:title>Quantum39</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/09/quantum38.png</image:loc><image:title>Quantum38</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/09/quantum37.png</image:loc><image:title>Quantum37</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/09/quantum36.png</image:loc><image:title>Quantum36</image:title></image:image><lastmod>2019-12-17T06:46:56+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2019/09/08/quantum-computing-python-programming/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/09/debugging.jpg</image:loc><image:title>debugging</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/09/quantum34.png</image:loc><image:title>Quantum34</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/09/quantum33.png</image:loc><image:title>Quantum33</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/09/quantum32.png</image:loc><image:title>Quantum32</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/09/quantum31.png</image:loc><image:title>Quantum31</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/09/quantum30.png</image:loc><image:title>Quantum30</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/09/quantum29-1.png</image:loc><image:title>Quantum29</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/09/quantum28.png</image:loc><image:title>Quantum28</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/09/quantum27.png</image:loc><image:title>Quantum27</image:title></image:image><lastmod>2019-12-17T06:46:40+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2019/08/30/quantum-computing-getting-started/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/08/quantum16.png</image:loc><image:title>Quantum16</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/08/quantum15.png</image:loc><image:title>Quantum15</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/08/quantum14.png</image:loc><image:title>Quantum14</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/08/quantumubuntu.png</image:loc><image:title>QuantumUbuntu</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/08/quantum13.png</image:loc><image:title>Quantum13</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/08/quantum12-1.png</image:loc><image:title>Quantum12</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/08/quantum11.png</image:loc><image:title>Quantum11</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/08/quantum10.jpg</image:loc><image:title>Quantum10</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/08/quantum9.jpg</image:loc><image:title>Quantum9</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/08/quantum8.png</image:loc><image:title>Quantum8</image:title></image:image><lastmod>2019-12-17T06:46:06+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/quantum-computing-in-python-series/</loc><lastmod>2019-12-17T06:43:46+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://benjaminwhiteside.com/2019/11/29/dark-transparent-visual-studio-code/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/11/vsc-terminal.png</image:loc><image:title>VSC - Terminal</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/11/vsc-getting-rid-of-white-menu-bar-3.png</image:loc><image:title>VSC - Getting Rid of White Menu Bar 3</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/11/vsc-getting-rid-of-white-menu-bar.png</image:loc><image:title>VSC - Getting Rid of White Menu Bar</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/11/vsc-selecting-night-owl-no-italics.png</image:loc><image:title>VSC - Selecting Night Owl no italics</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/11/vsc-vscode-icons.png</image:loc><image:title>VSC - vscode-icons</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/11/dark-transparent-visual-studio-2.png</image:loc><image:title>Dark Transparent Visual Studio 2</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/11/dark-transparent-visual-studio-3.png</image:loc><image:title>Dark Transparent Visual Studio 3</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/11/dark-transparent-visual-studio.png</image:loc><image:title>Dark Transparent Visual Studio</image:title><image:caption>The Standard VSC Dark Transparent Theme sitting over Task Manager.</image:caption></image:image><lastmod>2020-09-08T15:09:18+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2019/10/14/creation-annihilation/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/10/spring.png</image:loc><image:title>Spring</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/10/harmonic_oscillator.png</image:loc><image:title>Harmonic_Oscillator</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/10/pendulum2.jpg</image:loc><image:title>pendulum2</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/10/pendulum.jpg</image:loc><image:title>pendulum</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/09/creation-2-1080x675.jpg</image:loc><image:title>creation-2-1080x675</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/09/annihilation.jpg</image:loc><image:title>annihilation</image:title></image:image><lastmod>2019-10-14T05:32:37+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2019/10/11/how-do-quantum-algorithms-actually-work/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/10/hadamard-gate.png</image:loc><image:title>Hadamard Gate</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/10/cnot-truth-table.png</image:loc><image:title>CNOT Truth Table</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/10/not-gate.png</image:loc><image:title>NOT Gate</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/10/binary-circuit-half-adder.png</image:loc><image:title>Binary Circuit Half Adder</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/10/binary-addition-of-two-1-bit-numbers-with-gates-1.png</image:loc><image:title>Binary Addition of Two 1-bit numbers with gates</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/10/and-gate-1.png</image:loc><image:title>AND Gate</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/10/xor-gate.png</image:loc><image:title>XOR Gate</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/10/binary-circuit-skeleton.png</image:loc><image:title>Binary Circuit Skeleton</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/10/binary-addition-of-two-1-bit-numbers.png</image:loc><image:title>Binary Addition of Two 1-bit numbers</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/10/one-trick-pony.jpg</image:loc><image:title>one trick pony</image:title></image:image><lastmod>2019-10-13T22:58:54+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2019/10/08/what-makes-qubits-so-powerful/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/10/edsac-580x358.jpg</image:loc><image:title>edsac-580x358</image:title></image:image><lastmod>2019-10-13T22:41:05+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2019/10/03/negative-interest-rates/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/10/math.jpg</image:loc><image:title>math</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/10/negative-bond-yields.jpg</image:loc><image:title>Negative Bond Yields</image:title></image:image><lastmod>2019-10-03T05:48:06+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2014/03/12/the-expectation-operator/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2014/03/operator.jpg</image:loc><image:title>Operator</image:title></image:image><lastmod>2019-10-02T04:31:42+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2019/10/02/expectation-laplace-transforms/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/10/powerofexpectation.jpg</image:loc><image:title>PowerOfExpectation</image:title></image:image><lastmod>2019-10-02T04:19:07+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2015/03/23/installing-python-boost/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2015/03/081618_python-cpp.large_.jpg</image:loc><image:title>081618_Python-Cpp.large</image:title></image:image><lastmod>2019-10-02T04:18:01+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2015/05/09/bond-valuation-ii-zero-coupon-bonds/</loc><lastmod>2019-10-02T04:13:45+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/quantum-computing/</loc><lastmod>2019-09-08T05:39:37+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://benjaminwhiteside.com/about/</loc><lastmod>2019-08-23T05:00:30+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://benjaminwhiteside.com/2019/08/23/qubits-arent-weird-we-just-got-bits-wrong/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/08/img-64.jpg</image:loc><image:title>img-64</image:title></image:image><lastmod>2019-08-23T04:32:00+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2019/01/18/introduction-to-quantum-computing/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/01/church-turing.jpg</image:loc><image:title>church-turing</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/01/logicgates.jpg</image:loc><image:title>logicgates</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/01/big-o-complexity-graph.jpg</image:loc><image:title>big-o-complexity-graph</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/01/turingmachineexample.jpg</image:loc><image:title>turingmachineexample</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2019/01/turingfull560.jpg</image:loc><image:title>turingfull560</image:title></image:image><lastmod>2019-01-18T06:19:22+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2018/12/14/creating-an-instrument-class-in-c/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2018/12/Instrument-2.jpg</image:loc><image:title>Instrument (2)</image:title></image:image><lastmod>2018-12-14T23:36:46+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2018/12/11/implementing-a-quantlib-pricing-engine/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2018/12/engine.jpg</image:loc><image:title>engine</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2018/12/testprojectcode6.png</image:loc><image:title>TestProjectCode6</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2018/12/testprojectcode51.png</image:loc><image:title>TestProjectCode5</image:title><image:caption>A flat vol surface must be created as QuantLib's BlackVolTermStructure object which requires one more input: the calendar.</image:caption></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2018/12/testprojectcode5.png</image:loc><image:title>TestProjectCode5</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2018/12/testprojectcode4.png</image:loc><image:title>TestProjectCode4</image:title><image:caption>Once you know which objects go where, it becomes very easy to create multiple flat term structure objects. Here, we've created two more, one for the Dividend Yield curve and one for the Risk Free Interest Rate curve.</image:caption></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2018/12/testprojectcode3.png</image:loc><image:title>TestProjectCode3</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2018/12/testprojectflatforwardclassheader.png</image:loc><image:title>TestProjectFlatForwardClassHeader</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2018/12/testprojectflatforwardtest.png</image:loc><image:title>TestProjectFlatForwardTest</image:title><image:caption>Quickly creating some flat term structure objects using QuantLib's YieldTermStructure class.</image:caption></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2018/12/testprojectyieldtermstructureclassheader.png</image:loc><image:title>TestProjectYieldTermStructureClassHeader</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2018/12/testprojectsimplequoteclassheader.png</image:loc><image:title>TestProjectSimpleQuoteClassHeader</image:title><image:caption>Looking for a way to get initial parameter values in to the abstract Quote class leads us to utilise the inherited class SimpleQuote. </image:caption></image:image><lastmod>2018-12-14T10:14:48+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2018/12/11/expected-credit-loss-under-ifrs-9/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2018/01/ifrs9.png</image:loc><image:title>ifrs9</image:title></image:image><lastmod>2018-12-11T03:32:43+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2018/12/07/writing-your-first-quantlib-program-in-c/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2018/12/testprojectsetpricingengine.png</image:loc><image:title>TestProjectSetPricingEngine</image:title><image:caption>Looking for a member method of the Instrument object that allows us to set a Pricing Engine. Oh look, a member method called setPricingEngine, that's got to be it!</image:caption></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2018/12/testprojectnopricingengine.png</image:loc><image:title>TestProjectNoPricingEngine</image:title><image:caption>Uh oh! First try at pricing didn't work. Why? We forgot to tell the Instrument object which Pricing Engine to use. There are many pricing methods for pricing a vanilla European option (hopefully with the same price!).</image:caption></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2018/12/testprojectpayoffobject1.png</image:loc><image:title>TestProjectPayoffObject</image:title><image:caption>Now we are declaring the Payoff object. Again, creation isn't straight-forward and we have had to peek at the class header. The constructor is clear that when creating a new variable of this type we must pass in two objects: 1) a payoff type, and 2) and payoff Strike. We tackle both by passing in QuantLib's PlainVanillaPayoff object which supplies the constructor of StrikedTypePayoff with both the arguments. I admit, that's a bit sneaky!</image:caption></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2018/12/testprojectpayoffobject.png</image:loc><image:title>TestProjectPayoffObject</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2018/12/testprojectexercisetype.png</image:loc><image:title>TestProjectExerciseType</image:title><image:caption>A few things going on here. First, a new #include header has been added at the top to enable us to used Boost's shared pointers. Second, we have had to peek at the QuantLib::Exercise type to get the constructor right. As you can see we need to pass in an object when we declare this type - that object being QuantLib's EuropeanMaturity.</image:caption></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2018/12/testprojectconsole2.png</image:loc><image:title>TestProjectConsole2</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2018/12/testprojectcode2.png</image:loc><image:title>TestProjectCode2</image:title><image:caption>Our Test project with all QuantLib typed variables defining a vanilla European option.</image:caption></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2018/12/testprojectcode1.png</image:loc><image:title>TestProjectCode1</image:title><image:caption>Our first and most simple program illustrating the ability to set a call option and return that value back to the console.</image:caption></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2018/12/testprojectreturnoptiontype.png</image:loc><image:title>TestProjectReturnOptionType</image:title><image:caption>The Windows Console confirming that we have programmed the property correctly.</image:caption></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2018/12/testprojectincludequantlibdropdown.png</image:loc><image:title>TestProjectIncludeQuantLibDropDown</image:title><image:caption>If you have built QuantLib and Included it correctly, typing in #include followed by &lt;ql/ should prompt VS2017 to display a drop-down menu allowing you to select the QuantLib parent header.</image:caption></image:image><lastmod>2018-12-10T02:49:34+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2014/03/05/sigma-algebras/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2014/03/sigma.jpg</image:loc><image:title>sigma</image:title></image:image><lastmod>2018-01-10T02:12:26+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2014/03/02/the-dual-vector-space/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2014/03/duel-e1515549238383.jpg</image:loc><image:title>duel</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2014/03/dual.png</image:loc><image:title>dual</image:title></image:image><lastmod>2018-01-10T01:54:02+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2017/03/19/tensors/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2017/03/surface-comp.png</image:loc><image:title>surface-comp</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2017/03/tensors.png</image:loc><image:title>Tensors</image:title></image:image><lastmod>2018-01-10T01:08:12+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2017/03/22/the-trump-reflation-trade/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2017/03/inflation-and-deflation-graph.jpg</image:loc><image:title>inflation-and-deflation-graph</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2017/03/inflation.jpg</image:loc><image:title>inflation</image:title></image:image><lastmod>2017-04-04T03:34:08+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2014/02/03/manifolds/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2014/02/220px-boyssurfacetopview.png</image:loc><image:title>220px-BoysSurfaceTopView</image:title></image:image><lastmod>2017-03-23T02:15:27+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2016/03/25/fractal-manifolds-ii-what-is-a-manifold/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2016/03/manifold5-1.png</image:loc><image:title>manifold5-1</image:title></image:image><lastmod>2017-03-23T01:51:50+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2014/02/23/group/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2014/02/rubik-cube.jpg</image:loc><image:title>Rubik Cube</image:title></image:image><lastmod>2017-03-22T08:04:32+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2015/05/09/bond-valuation-iv-deriving-the-bond-price-dynamics/</loc><lastmod>2017-03-19T08:34:31+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2017/01/26/quadratic-variation/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2017/01/3_dice.jpg</image:loc><image:title>3_dice</image:title></image:image><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2017/01/wordpress_quadratic_variation.png</image:loc><image:title>wordpress_quadratic_variation</image:title></image:image><lastmod>2023-11-02T16:35:45+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2016/03/25/fractal-manifolds-iii-self-similar-spaces/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2016/03/mandelbrot-set-fractals11.jpg</image:loc><image:title>mandelbrot-set-fractals11</image:title></image:image><lastmod>2025-06-19T20:10:18+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://benjaminwhiteside.com/2015/05/09/bond-valuation-i-present-value/</loc><image:image><image:loc>https://benjaminwhiteside.com/wp-content/uploads/2015/05/bond_market.jpg</image:loc><image:title>bond_market</image:title><image:caption>Stock 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