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One-way LOCC indistinguishable lattice states via operator structures

  • 01-07-2020
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Abstract

Lattice states are a class of quantum states that naturally generalize the fundamental set of Bell states. We apply recent results from quantum error correction and from one-way local operations and classical communication (LOCC) theory that are built on the structure theory of operator systems and operator algebras, to develop a technique for the construction of relatively small sets of lattice states not distinguishable by one-way LOCC schemes. We also present examples, show the construction extends to generalized Pauli states, and compare the construction to other recent work.

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Title
One-way LOCC indistinguishable lattice states via operator structures
Authors
David W. Kribs
Comfort Mintah
Michael Nathanson
Rajesh Pereira
Publication date
01-07-2020
Publisher
Springer US
Published in
Quantum Information Processing / Issue 7/2020
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-020-02686-6
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