A simple comparative analysis of exact and approximate quantum error correction

6533b7dafe1ef96bd126e1e2

RESEARCH PRODUCT

A simple comparative analysis of exact and approximate quantum error correction

Carlo Cafaro Peter Van Loock

subject

Statistics and Probability Quantum Physics Computation FOS: Physical sciences Statistical and Nonlinear Physics Quantum capacity Quantum entanglement Noise (electronics)symbols.namesake Pauli exclusion principle Quantum error correction Simple (abstract algebra)symbols Applied mathematics Error detection and correction Quantum Physics (quant-ph)Algorithm Mathematical Physics Mathematics

description

We present a comparative analysis of exact and approximate quantum error correction by means of simple unabridged analytical computations. For the sake of clarity, using primitive quantum codes, we study the exact and approximate error correction of the two simplest unital (Pauli errors) and nonunital (non-Pauli errors) noise models, respectively. The similarities and differences between the two scenarios are stressed. In addition, the performances of quantum codes quantified by means of the entanglement fidelity for different recovery schemes are taken into consideration in the approximate case. Finally, the role of self-complementarity in approximate quantum error correction is briefly addressed.

year	journal	country	edition	language
2014-08-07

https://dx.doi.org/10.48550/arxiv.1308.4581

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