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Generalized quantum measurements. Part II: Partially-destructive quantum measurements in finite-dimensional Hilbert spaces

2005/06/06 by Boris A. Grishanin, Grishanin, Boris A., Victor N. Zadkov +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0506046

15 pages, 3 figures, 15 refs

arxiv created 2005/06/06 · arxiv updated 2009/12/01

Abstract

A concept of the generalized quantum measurement is introduced as the transformation, which establishes a correspondence between the initial states of the object system and final states of the object--measuring device (meter) system with the help of a classical informational index, unambiguously linked to the classically compatible set of states of the object--meter system. It is shown that the generalized measurement covers all the key known quantum measurement concepts--standard projective, entangling, fuzzy and the generalized measurement with the partial or complete destruction of the initial information contained in the object. A special class of partially-destructive measurements that map the continual set of the states in finite-dimensional quantum systems to that one of the infinite-dimensional quantum systems is considered. Their informational essence and some information characteristics are discussed in detail.

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