Nondisturbing quantum measurements

Teiko Mikael Heinosaari; Michael Marc Wolf

doi:10.1063/1.3480658

Nondisturbing quantum measurements

Teiko Mikael Heinosaari, Michael Marc Wolf

43 Citations (Scopus)

Abstract

We consider pairs of discrete quantum observables (POVMs) and analyze the relation between the notions of nondisturbance, joint measurability, and commutativity. We specify conditions under which these properties coincide or differ-depending, for instance, on the interplay between the number of outcomes and the Hilbert space dimension or on algebraic properties of the effect operators. We also show that (non-)disturbance is, in general, not a symmetric relation and that it can be decided and quantified by means of a semidefinite program.

Original language	English
Journal	Journal of Mathematical Physics
Volume	51
Issue number	9
Pages (from-to)	092201
ISSN	0022-2488
DOIs	https://doi.org/10.1063/1.3480658
Publication status	Published - 1 Sept 2010

Access to Document

10.1063/1.3480658

Cite this

@article{ca567d32f0264ac781c88d5101c4221f,

title = "Nondisturbing quantum measurements",

abstract = "We consider pairs of discrete quantum observables (POVMs) and analyze the relation between the notions of nondisturbance, joint measurability, and commutativity. We specify conditions under which these properties coincide or differ-depending, for instance, on the interplay between the number of outcomes and the Hilbert space dimension or on algebraic properties of the effect operators. We also show that (non-)disturbance is, in general, not a symmetric relation and that it can be decided and quantified by means of a semidefinite program.",

author = "Heinosaari, {Teiko Mikael} and Wolf, {Michael Marc}",

year = "2010",

month = sep,

day = "1",

doi = "10.1063/1.3480658",

language = "English",

volume = "51",

pages = "092201",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "A I P Publishing LLC",

number = "9",

}

TY - JOUR

T1 - Nondisturbing quantum measurements

AU - Heinosaari, Teiko Mikael

AU - Wolf, Michael Marc

PY - 2010/9/1

Y1 - 2010/9/1

N2 - We consider pairs of discrete quantum observables (POVMs) and analyze the relation between the notions of nondisturbance, joint measurability, and commutativity. We specify conditions under which these properties coincide or differ-depending, for instance, on the interplay between the number of outcomes and the Hilbert space dimension or on algebraic properties of the effect operators. We also show that (non-)disturbance is, in general, not a symmetric relation and that it can be decided and quantified by means of a semidefinite program.

AB - We consider pairs of discrete quantum observables (POVMs) and analyze the relation between the notions of nondisturbance, joint measurability, and commutativity. We specify conditions under which these properties coincide or differ-depending, for instance, on the interplay between the number of outcomes and the Hilbert space dimension or on algebraic properties of the effect operators. We also show that (non-)disturbance is, in general, not a symmetric relation and that it can be decided and quantified by means of a semidefinite program.

U2 - 10.1063/1.3480658

DO - 10.1063/1.3480658

M3 - Journal article

SN - 0022-2488

VL - 51

SP - 092201

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 9

ER -

Nondisturbing quantum measurements

Abstract

Access to Document

Fingerprint

Cite this