Solutions for the MaxEnt problem with symmetry constraints

In this paper, we deal with the situation in which the unknown state of a quantum system has to be estimated under the assumption that it is prepared obeying a known set of symmetries. We present a system of equations and an explicit solution for the problem of determining the MaxEnt state satisfyin...

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Bibliographic Details
Published in:Quantum information processing 2019-09, Vol.18 (9), p.1-20, Article 293
Main Authors: Losada, Marcelo, Holik, Federico, Massri, Cesar, Plastino, Angelo
Format: Article
Language:English
Subjects:
Data Structures and Information Theory
Mathematical Physics
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Quantum theory
Spintronics
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Summary:In this paper, we deal with the situation in which the unknown state of a quantum system has to be estimated under the assumption that it is prepared obeying a known set of symmetries. We present a system of equations and an explicit solution for the problem of determining the MaxEnt state satisfying these constraints. Our approach can be applied to very general situations, including symmetries of the source represented by Lie and finite groups.
ISSN:1570-0755
1573-1332
DOI:10.1007/s11128-019-2399-y