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 Citationer (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.

Originalsprog	Engelsk
Tidsskrift	Physical Review A (Atomic, Molecular and Optical Physics)
Vol/bind	82
Udgave nummer	3
Sider (fra-til)	032328
Antal sider	9
ISSN	2469-9926
DOI	https://doi.org/10.1103/PhysRevA.82.032328
Status	Udgivet - 28 sep. 2010

Adgang til dokumentet

10.1103/PhysRevA.82.032328

Citationsformater

@article{6ccef48c24414301a79e9fb74046252a,

title = "Approximating incompatible von Neumann measurements simultaneously",

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 L{\"u}ders instrument of the optimal joint observable.",

author = "Heinosaari, {Teiko Mikael} and Jivulescu, {Maria Anastasia} and D. Reitzner and M. Ziman",

year = "2010",

month = sep,

day = "28",

doi = "10.1103/PhysRevA.82.032328",

language = "English",

volume = "82",

pages = "032328",

journal = "Physical Review A - Atomic, Molecular, and Optical Physics",

issn = "2469-9926",

publisher = "American Physical Society",

number = "3",

}

TY - JOUR

T1 - Approximating incompatible von Neumann measurements simultaneously

AU - Heinosaari, Teiko Mikael

AU - Jivulescu, Maria Anastasia

AU - Reitzner, D.

AU - Ziman, M.

PY - 2010/9/28

Y1 - 2010/9/28

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

M3 - Journal article

SN - 2469-9926

VL - 82

SP - 032328

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 3

ER -