Approximating incompatible von Neumann measurements simultaneously

Teiko Mikael Heinosaari; Maria Anastasia Jivulescu; D. Reitzner; M. Ziman

doi:10.1103/PhysRevA.82.032328

Approximating incompatible von Neumann measurements simultaneously

Teiko Mikael Heinosaari, Maria Anastasia Jivulescu, D. Reitzner, M. Ziman

7 Citations (Scopus)

Abstract

We study the problem of performing orthogonal qubit measurements simultaneously. Since these measurements are incompatible, one has to accept additional imprecision. An optimal joint measurement is the one with the least possible imprecision. All earlier considerations of this problem have concerned only joint measurability of observables, while in this work we also take into account conditional state transformations (i.e., instruments). We characterize the optimal joint instrument for two orthogonal von Neumann instruments as being the Lüders instrument of the optimal joint observable.

Original language	English
Journal	Physical Review A (Atomic, Molecular and Optical Physics)
Volume	82
Issue number	3
Pages (from-to)	032328
Number of pages	9
ISSN	2469-9926
DOIs	https://doi.org/10.1103/PhysRevA.82.032328
Publication status	Published - 28 Sept 2010

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10.1103/PhysRevA.82.032328

Cite this

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title = "Approximating incompatible von Neumann measurements simultaneously",

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N2 - We study the problem of performing orthogonal qubit measurements simultaneously. Since these measurements are incompatible, one has to accept additional imprecision. An optimal joint measurement is the one with the least possible imprecision. All earlier considerations of this problem have concerned only joint measurability of observables, while in this work we also take into account conditional state transformations (i.e., instruments). We characterize the optimal joint instrument for two orthogonal von Neumann instruments as being the Lüders instrument of the optimal joint observable.

AB - We study the problem of performing orthogonal qubit measurements simultaneously. Since these measurements are incompatible, one has to accept additional imprecision. An optimal joint measurement is the one with the least possible imprecision. All earlier considerations of this problem have concerned only joint measurability of observables, while in this work we also take into account conditional state transformations (i.e., instruments). We characterize the optimal joint instrument for two orthogonal von Neumann instruments as being the Lüders instrument of the optimal joint observable.

U2 - 10.1103/PhysRevA.82.032328

DO - 10.1103/PhysRevA.82.032328

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