Nuclear numerical range and quantum error correction codes for non-unitary noise models

被引：0
作者：
Patryk Lipka-Bartosik
Karol Życzkowski
机构：
[1] University of Warsaw,Faculty of Physics
[2] Polish Academy of Sciences,Center for Theoretical Physics
[3] Jagiellonian University,Institute of Physics
来源：
Quantum Information Processing | 2017年 / 16卷
关键词：
Quantum error correction; Numerical range; Quantum noise; Non-unitary matrices;
D O I：
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学科分类号：
摘要：
We introduce a notion of nuclear numerical range defined as the set of expectation values of a given operator A among normalized pure states, which belong to the nucleus of an auxiliary operator Z. 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.
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