Approximating incompatible von Neumann measurements simultaneously

Details Approximating incompatible von Neumann measurements simultaneously Approximating incompatible von Neumann measurements simultaneously

2010-05-04

arxiv.org/abs/1005.0472v2

Phys. Rev. A 82, 032328 (2010)

Physics

Quantum Physics

9 pages, 4 figures; v2 has a more extensive introduction + other minor corrections

Scientific paper

10.1103/PhysRevA.82.032328

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 Luders instrument of the optimal joint observable.

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