Correlated errors can lead to better performance of quantum codes
arXiv:quant-ph/0703142 · doi:10.1103/PhysRevA.77.022323
Abstract
A formulation for evaluating the performance of quantum error correcting codes for a general error model is presented. In this formulation, the correlation between errors is quantified by a Hamiltonian description of the noise process. We classify correlated errors using the system-bath interaction: local versus nonlocal and two-body versus many-body interactions. In particular, we consider Calderbank-Shor-Steane codes and observe a better performance in the presence of correlated errors depending on the timing of the error recovery. We also find this timing to be an important factor in the design of a coding system for achieving higher fidelities.
5 pages, 3 figures. Replaced by the published version. Title changed
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