Numerical and analytical research of the impact of decoherence on quantum circuits

Yu. I. Bogdanov; A. Yu. Chernyavskiy; B. I. Bantysh; V. F. Lukichev; A. A. Orlikovsky; I. A. Semenihin; D. V. Fastovets; A. S. Holevo

doi:10.1117/12.2180961

18 December 2014 Numerical and analytical research of the impact of decoherence on quantum circuits

Yu. I. Bogdanov, A. Yu. Chernyavskiy, B. I. Bantysh, V. F. Lukichev, A. A. Orlikovsky, I. A. Semenihin, D. V. Fastovets, A. S. Holevo

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Proceedings Volume 9440, International Conference on Micro- and Nano-Electronics 2014; 94401H (2014) https://doi.org/10.1117/12.2180961
Event: The International Conference on Micro- and Nano-Electronics 2014, 2014, Zvenigorod, Russian Federation

Abstract

Three different levels of noisy quantum schemes modeling are considered: vectors, density matrices and Choi- Jamiolkowski related states. The implementations for personal computers and supercomputers are described, and the corresponding results are shown. For the level of density matrices, we present the technique of the fixed rank approximation and show some analytical estimates of the fidelity level.

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Yu. I. Bogdanov, A. Yu. Chernyavskiy, B. I. Bantysh, V. F. Lukichev, A. A. Orlikovsky, I. A. Semenihin, D. V. Fastovets, and A. S. Holevo "Numerical and analytical research of the impact of decoherence on quantum circuits", Proc. SPIE 9440, International Conference on Micro- and Nano-Electronics 2014, 94401H (18 December 2014); https://doi.org/10.1117/12.2180961

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