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Quantum Information Processing

Statistics of projective measurement on a quantum probe as a witness of noncommutativity of algebra of a probed system

  • 01-07-2022
Published in:
Authors
Fattah Sakuldee
Łukasz Cywiński
Published in
Quantum Information Processing | Issue 7/2022

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Abstract

The article delves into the fundamental problem of characterizing the quantum and classical features of physical systems using quantum mechanics. It introduces the concept of noncommutativity in the operator algebra of a system as a witness for quantumness. The text explores the use of Kolmogorov consistency (KC) as a criterion to characterize quantumness and classicality in a probe-system setup. It discusses the implications of KC on the classicality of the accessible algebra of the system and provides a witness for the noncommutativity of the accessible algebra. The article also highlights the connection between KC and other quantum properties such as Bell’s inequality and quantum discord. Additionally, it discusses the role of KC in the context of Leggett-Garg inequalities and the objectivity of classicality. The text concludes by summarizing the main results and suggesting possible future research directions.
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previous article Self-guided quantum state learning for mixed states
next article Two classes of entanglement-assisted quantum MDS codes from generalized Reed–Solomon codes
Title
Statistics of projective measurement on a quantum probe as a witness of noncommutativity of algebra of a probed system
Authors
Fattah Sakuldee
Łukasz Cywiński
Publication date
01-07-2022
Publisher
Springer US
Published in
Quantum Information Processing / Issue 7/2022
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-022-03576-9
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