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My background is in pure mathematics, but I had been active in mathematical software development and publishing for more than 10 years before joining Microsoft. Most notably I have been  working for more than five years on the core Algebra and Calculus features of Mathematica® as a researcher and a team lead. There is a lot of my code implementing both symbolic and numeric math running commercially. My current projects are in the areas of Quantum compilation, Quantum and quantum-inspired Machine Learning. My active area of research as of five years ago has been Time Series Analysis and Forecasting. Publications Top of Form View by Show All Bottom of Form 2017 Factoring with Qutrits: Shor’s Algorithm on Ternary and Metaplectic Quantum Architectures Alex Bocharov, Martin Roetteler, Krysta M. Svore, APS, July 5, 2017, View abstract, View external link 2016 Improved Quantum Ternary Arithmetic Alex Bocharov, S. X. Cui, Martin Roetteler, Krysta M. Svore, in Quantum Information and Computation, Rinton Press, July 1, 2016, View abstract, View external link A Note on Optimality of Quantum Circuits over Metaplectic Basis Alex Bocharov, June 19, 2016, View abstract, View external link 2015 Improved Quantum Ternary Arithmetics Alex Bocharov, Shawn X. Cui, Martin Roetteler, Krysta M. Svore, December 11, 2015, View abstract, View external link Optimal Ancilla-free Pauli+V Circuits for Axial Rotations Andreas Blass, Alex Bocharov, Yuri Gurevich, AIP, November 1, 2015, View abstract, View external link A framework for approximating qubit unitaries Vadym Kliuchnikov, Alex Bocharov, Martin Roetteler, Jon Yard, October 13, 2015, View abstract, Download PDF Efficient synthesis of probabilistic quantum circuits with fallback Alex Bocharov, Martin Roetteler, Krysta M. Svore, in Physical Review A, APS, May 18, 2015, View abstract, View external link Efficient Topological Compilation for Weakly-Integral Anyon Model Alex Bocharov, Shawn Xingshan Cui, Vadym Kliuchnikov, Zhenghan Wang, April 13, 2015, View abstract, View external link Efficient Synthesis of Universal Repeat-Until-Success Quantum Circuits Alex Bocharov, Martin Roetteler, Krysta M. Svore, APS, February 27, 2015, View abstract, View external link 2014 Efficient Approximation of Diagonal Unitaries over the Clifford+T Basis Jonathan Welch, Alex Bocharov, Krysta M. Svore, December 17, 2014, View abstract, View external link Efficient Synthesis of Probabilistic Quantum Circuits with Fallback Alex Bocharov, Martin Roetteler, Krysta M. Svore, September 1, 2014, View abstract, Download PDF Asymptotically Optimal Topological Quantum Compiling Vadym Kliuchnikov, Alex Bocharov, Krysta M. Svore, APS, April 9, 2014, View abstract, View external link 2013 Efficient Decomposition of Single-Qubit Gates into V Basis Circuits Alex Bocharov, Yuri Gurevich, Krysta M. Svore, APS, July 12, 2013, View abstract, Download PDF Behavioral Dynamics on the Web: Learning, Modeling, and Prediction Kira Radinsky, Krysta M. Svore, Susan Dumais, Milad Shokouhi, Jaime Teevan, Alex Bocharov, Eric Horvitz, ACM, July 1, 2013, View abstract, Download PDF From Reversible Logic Gates to Universal Quantum Bases Alex Bocharov, Krysta M. Svore, in Logic in Computer Science Column, European Association of Theoretical Computer Science, June 1, 2013, View abstract, Download PDF 2012 Resource-Optimal Single-Qubit Quantum Circuits Alex Bocharov, Krysta M. Svore, American Physical Society, November 8, 2012, View abstract, Download PDF, View external link Modeling and Predicting Behavioral Dynamics on the Web Kira Radinsky, Krysta M. Svore, Susan Dumais, Jaime Teevan, Alex Bocharov, Eric Horvitz, in Proceedings of the 21st International World Wide Web (WWW) Conference, International World Wide Web Conference, April 16, 2012, View abstract, Download PDF Segmentation of Nonstationary Time Series with Geometric Clustering Alex Bocharov, Bo Thiesson, in International Conference, ICPRAM 2012 Vilamoura, Algarve, Portugal, February 6-8, 2012 Revised Selected Papers, Springer Berlin Heidelberg, February 6, 2012, View abstract, View external link Non-Parametric Segmentation of Regime-Switching Time Series with Oblique Switching Trees Alex Bocharov, Bo Thiesson, in ICPRAM-2012: 1st International Conference on Pattern Recognition Applications and Methods, SciTePress Digital Library, February 1, 2012, View abstract, Download PDF 2008 Looking For Short Term Signals In Stock Market Data Alex Bocharov, WIT Press, January 1, 2008, View abstract, Download PDF 2006 Stability Analysis Of Time Series Forecasting With ART Models Alex Bocharov, D. Chickering, D. Heckerman, WIT Press, January 1, 2006, View abstract, Download PDF Projects Link description The Incredible Shrinking Quantum Circuit Date April 3, 2013 Speakers Alex Bocharov Affiliation Microsoft Link description Time Series Foundation Intro Date November 14, 2011 Speakers Alex Bocharov Affiliation Microsoft Research Downloads Time Series Foundation January 2012 Click the icon to access this download Website Follow Microsoft Research Follow @MSFTResearch Share this page Tweet Learn Windows Office Skype Outlook OneDrive MSN Devices Microsoft Surface Xbox PC and laptops Microsoft Lumia Microsoft Band Microsoft HoloLens Microsoft Store Account profile Order tracking Store locations Returns Sales & support Downloads Download Center Windows downloads Windows 10 apps Office apps Microsoft Lumia apps Internet Explorer Values Diversity and inclusion Accessibility Microsoft in education Microsoft philanthropies Corporate social responsibility Privacy at Microsoft Company Careers About Microsoft Company news Investors Research Site map Sitemap Contact us Privacy & cookies Terms of use Trademarks About our ads © Microsoft 2017 ​
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