Entanglement Witnesses Based on Symmetric Informationally Complete Measurements
نویسندگان
چکیده
منابع مشابه
Symmetric Informationally Complete Quantum Measurements
We consider the existence in arbitrary finite dimensions d of a POVM comprised of d rank-one operators all of whose operator inner products are equal. Such a set is called a “symmetric, informationally complete” POVM (SIC-POVM) and is equivalent to a set of d equiangular lines in C . SIC-POVMs are relevant for quantum state tomography, quantum cryptography, and foundational issues in quantum me...
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There has been much interest in so-called SIC-POVMs: rank 1 symmetric in-formationally complete positive operator valued measures. In this paper we discuss the larger class of POVMs which are symmetric and informationally complete but not necessarily rank 1. This class of POVMs is of some independent interest. In particular it includes a POVM which is closely related to the discrete Wigner func...
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Examples of symmetric informationally complete positive operator-valued measures (SIC-POVMs) have been constructed in every dimension ≤67. However, it remains an open question whether they exist in all finite dimensions. A SIC-POVM is usually thought of as a highly symmetric structure in quantum state space. However, its elements can equally well be regarded as a basis for the Lie algebra gl(d,...
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ژورنال
عنوان ژورنال: International Journal of Theoretical Physics
سال: 2020
ISSN: 0020-7748,1572-9575
DOI: 10.1007/s10773-020-04615-w