Bipartite quantum measurements with optimal single-sided distinguishability

نویسندگان

چکیده

We analyse orthogonal bases in a composite N×N Hilbert space describing bipartite quantum system and look for basis with optimal single-sided mutual state distinguishability. This condition implies that each subsystem the xmlns:mml="http://www.w3.org/1998/Math/MathML">N2 reduced states form regular simplex of maximal edge length, defined respect to trace distance. In case xmlns:mml="http://www.w3.org/1998/Math/MathML">N=2 two-qubit our solution coincides elegant joint measurement introduced by Gisin. derive explicit expressions an analogous constellation xmlns:mml="http://www.w3.org/1998/Math/MathML">N=3 provide general construction forming such xmlns:mml="http://www.w3.org/1998/Math/MathML">HN⊗HN. Our is valid all dimensions which symmetric informationally complete (SIC) generalized known. Furthermore, we show one-party distinguishes leads local tomography linear reconstruction formula. Finally, test tomographical scheme on set three mutually unbiased single qubit using two different IBM machines.

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ژورنال

عنوان ژورنال: Quantum

سال: 2021

ISSN: ['2521-327X']

DOI: https://doi.org/10.22331/q-2021-04-26-442