Operations, Disturbance, and Simultaneous Measurability

Details Operations, Disturbance, and Simultaneous Measurability Operations, Disturbance, and Simultaneous Measurability

2000-05-15

arxiv.org/abs/quant-ph/0005054v2

Phys. Rev. A 63 (2001) 032109

Physics

Quantum Physics

32 pages, REVTeX

Scientific paper

10.1103/PhysRevA.63.032109

Quantum mechanics predicts the joint probability distributions of the outcomes of simultaneous measurements of commuting observables, but the current formulation lacks the operational definition of simultaneous measurements. In order to provide foundations of joint statistics of local general measurements on entangled systems in a general theoretical framework, the question is answered as to under what condition the outputs of two measuring apparatuses satisfy the joint probability formula for simultaneous measurements of their observables. For this purpose, all the possible state changes caused by measurements of an observable are characterized and the notion of disturbance in measurement is formalized in terms of operations derived by the measuring interaction.

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