Work

Approximating incompatible von Neumann measurements simultaneously

Year: 2010

Type: article

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\"uders instrument of the optimal joint observable.

Source: Physical Review A

DOI: 10.1103/physreva.82.032328

Authors: Teiko Heinosaari, Maria Anastasia Jivulescu, Daniel Reitzner, Mario Ziman

Institutions: University of Copenhagen, Politehnica University of Timisoara, Slovak Academy of Sciences, Institute of Physics of the Slovak Academy of Sciences, Masaryk University

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green