Generalized bipartite quantum state discrimination problems with sequential measurements

Optimal sequential measurements for bipartite state discrimination

Characterization of quantum computable decision problems by state discrimination

One advantage of quantum algorithms over classical computation is the possibility to spread out, process, analyse and extract information in multipartite configurations in coherent superpositions of classical states. This will be discussed in terms of quantum state identification problems based on a proper partitioning of mutually orthogonal sets of states. The question arises whether or not it...

-symmetric quantum state discrimination

1Department of Physics, King’s College London, Strand, LondonWC2R 1LS, UK 2Mathematical Sciences, Brunel University, Uxbridge UB8 3PH, UK 3Physics Department, University of Chicago, Chicago, IL 60637, USA 4Helmholtz-Center Dresden-Rossendorf, PO Box 51 01 19, 01314 Dresden, Germany 5Department of Physics, Renmin University of China, Beijing 100872, People’s Republic of China 6Tomsk State Univer...

Quantum state discrimination

It is a fundamental consequence of the superposition principle for quantum states that there must exist non-orthogonal states, that is states that, although different, have a non-zero overlap. This finite overlap means that there is no way of determining with certainty in which of two such states a given physical system has been prepared. We review the various strategies that have been devised ...

Sequential Products of Quantum Measurements

Sequential products of quantum measurements are defined and studied. Two types of measurement equivalence are considered and their relationships with compatibility and the sequential product are discussed. It is shown that a measurement A is sharp if and only if A is equivalent to the sequential product of A with itself. Refinements of measurements are defined and it is shown that they produce ...