Physical realizability and preservation of commutation and anticommutation relations for n-level quantum systems

Luis A.Duffaut Espinosa; Z. Miao; I. R. Petersen; V. Ugrinovskii; M. R. James

doi:10.1137/130931606

Physical realizability and preservation of commutation and anticommutation relations for n-level quantum systems

Luis A.Duffaut Espinosa, Z. Miao, I. R. Petersen, V. Ugrinovskii, M. R. James

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

The purpose of this paper is to address the problem of physical realizability for n-level quantum systems. We provide necessary and sufficient conditions for quantum stochastic differential equations that ensure the existence of physical parameters characterizing the unitary evolution required by the laws of quantum mechanics. Also, these conditions guarantee the preservation of the commutation and anticommutation relations of the underlying Lie algebra su(n).

Original language	English
Pages (from-to)	632-661
Number of pages	30
Journal	SIAM Journal on Control and Optimization
Volume	54
Issue number	2
DOIs	https://doi.org/10.1137/130931606
Publication status	Published - 2016

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abstract = "The purpose of this paper is to address the problem of physical realizability for n-level quantum systems. We provide necessary and sufficient conditions for quantum stochastic differential equations that ensure the existence of physical parameters characterizing the unitary evolution required by the laws of quantum mechanics. Also, these conditions guarantee the preservation of the commutation and anticommutation relations of the underlying Lie algebra su(n).",

keywords = "Finite level quantum systems, Open quantum Systems, Physical realizability, Quantum stochastic differential equations, Su(n)",

author = "Espinosa, {Luis A.Duffaut} and Z. Miao and Petersen, {I. R.} and V. Ugrinovskii and James, {M. R.}",

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AU - James, M. R.

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KW - Open quantum Systems

KW - Physical realizability

KW - Quantum stochastic differential equations

KW - Su(n)

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Physical realizability and preservation of commutation and anticommutation relations for n-level quantum systems

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