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2023 | OriginalPaper | Chapter

Some Remarks on Super-Gram Operators for General Bipartite Quantum States

Authors : Roman Gielerak, Marek Sawerwain

Published in: Parallel Processing and Applied Mathematics

Publisher: Springer International Publishing

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Abstract

The Gramian matrices approach to study certain aspects of quantum entanglement contained in the bipartite pure quantum states is being extended to the level of a general quantum bipartite states. The corresponding Gram matrices, called here super-gram matrices are being constructed over the Hilbert-Schmidt structure build on the Hilbert space of pure states. The main result is the extension of the widely known realignment criterion to the level of super-operators.

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Title: Some Remarks on Super-Gram Operators for General Bipartite Quantum States
Authors: Roman Gielerak
Marek Sawerwain
Publisher: Springer International Publishing
Book: Parallel Processing and Applied Mathematics
Print ISBN: 978-3-031-30444-6

Electronic ISBN: 978-3-031-30445-3

Copyright Year: 2023
DOI: https://doi.org/10.1007/978-3-031-30445-3_16

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