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Quantum Simulation

Quantum circuit design for accurate simulation of qudit channels

arXiv
Authors: Dong-Sheng Wang, Barry C. Sanders

Year

2014

Paper ID

48393

Status

Preprint

Abstract Read

~2 min

Abstract Words

98

Citations

N/A

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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  • We construct a classical algorithm that designs quantum circuits for algorithmic quantum simulation of arbitrary qudit channels on fault-tolerant quantum computers within a...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1407.7251 [2] arXiv https://arxiv.org/abs/1407.7251 [3] Publisher https://arxiv.org/abs/1407.7251

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