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Kvantovaya Elektronika, 2005 Volume 35, Number 10, Pages 923–928 (Mi qe9911)

Quantum measurements

Information properties of generalised quantum measurements

B. A. Grishanin, V. N. Zadkov

Lomonosov Moscow State University, Faculty of Physics

Abstract: The concept of generalised quantum measurement is introduced as a transformation establishing the correspondence between the initial state of an object and the final state of the object–instrument system with the help of a classical information index one-to-one related to a classically compatible set of the states of the object–instrument system. It is shown that this measurement includes all the types of measurements: standard projective, entangling, soft, and generalised measurements with a partial or complete dest-ruction of the initial information contained in the object. A special class of partially destructing measurements is considered which establish the correspondence between a continual set of states of finite-dimensional quantum systems and systems with an infinite-dimensional space of states. The information sense of these measurements is discussed and some information characteristics are calculated.

PACS: 03.67.-a

Received: 07.06.2005
Revised: 08.07.2005


 English version:
Quantum Electronics, 2005, 35:10, 923–928

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© Steklov Math. Inst. of RAS, 2026