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WROCŁAW UNIVERSITY
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TECHNOLOGY

Contents of PMS, Vol. 32, Fasc. 1,
pages 1 - 10
 

ON INDISTINGUISHABILITY OF QUANTUM STATES

Michał Adamczyk

Abstract: In this paper we shall study quantum ancillary statistics. For a given quantum measurement M we will define the indistinguishability relation of states in the following way: Two states are indistinguishable by M if they generate with M the same probability measure. For such a relation the equivalence classes will be described. At the end we will give some elementary examples of informationally complete measurements that arise from the theorems characterizing the indistinguishability relation.

2000 AMS Mathematics Subject Classification: Primary: 46L53.

Keywords and phrases: Quantum measurement, quantum ancillary statistic, informationally complete measurement.

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