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One-way LOCC indistinguishable lattice states via operator structures

Authors
  • Kribs, David W.1, 2
  • Mintah, Comfort1
  • Nathanson, Michael3
  • Pereira, Rajesh1
  • 1 University of Guelph, Guelph, ON, N1G 2W1, Canada , Guelph (Canada)
  • 2 University of Waterloo, Waterloo, ON, N2L 3G1, Canada , Waterloo (Canada)
  • 3 Saint Mary’s College of California, Moraga, CA, 94556, USA , Moraga (United States)
Type
Published Article
Journal
Quantum Information Processing
Publisher
Springer-Verlag
Publication Date
May 26, 2020
Volume
19
Issue
7
Identifiers
DOI: 10.1007/s11128-020-02686-6
Source
Springer Nature
Keywords
License
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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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