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arXiv · 1407.7251

Quantum circuit design for accurate simulation of qudit channels

Dong-Sheng Wang·Barry C. Sanders
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Abstract

We construct a classical algorithm that designs quantum circuits for algorithmic quantum simulation of arbitrary qudit channels on fault-tolerant quantum computers within a pre-specified error tolerance with respect to diamond-norm distance. The classical algorithm is constructed by decomposing a quantum channel into a convex combination of generalized extreme channels by optimization of a set of nonlinear coupled algebraic equations. The resultant circuit is a randomly chosen generalized extreme channel circuit whose run-time is logarithmic with respect to the error tolerance and quadratic with respect to Hilbert space dimension, which requires only a single ancillary qudit plus classical dits.

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Dong-Sheng Wang, Barry C. Sanders. 2014-07-27. Quantum circuit design for accurate simulation of qudit channels. https://doi.org/10.1088/1367-2630/17/4/043004

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