Nuclear Numerical Range and Quantum Error Correction Codes for non-unitary noise models
Quantum Physics
2017-01-31 v1
Abstract
We introduce a notion of nuclear numerical range defined as the set of expectation values of a given operator among normalized pure states, which belong to the nucleus of an auxiliary operator . This notion proves to be applicable to investigate models of quantum noise with block-diagonal structure of the corresponding Kraus operators. The problem of constructing a suitable quantum error correction code for this model can be restated as a geometric problem of finding intersection points of certain sets in the complex plane. This technique, worked out in the case of two-qubit systems, can be generalized for larger dimensions.
Cite
@article{arxiv.1610.00930,
title = {Nuclear Numerical Range and Quantum Error Correction Codes for non-unitary noise models},
author = {Patryk Lipka-Bartosik and Karol Życzkowski},
journal= {arXiv preprint arXiv:1610.00930},
year = {2017}
}
Comments
22 pages, 3 figures