Nondisturbing quantum measurements

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 -