One-Way LOCC Indistinguishable Lattice States via Operator Structures
- URL: http://arxiv.org/abs/2004.11777v1
- Date: Fri, 24 Apr 2020 14:37:56 GMT
- Title: One-Way LOCC Indistinguishable Lattice States via Operator Structures
- Authors: Comfort Mintah, David W. Kribs, Michael Nathanson, Rajesh Pereira
- Abstract summary: We develop a technique for the construction of relatively small sets of lattice states not distinguishable by one-way LOCC schemes.
We show examples, show the construction extends to generalized Pauli states, and compare the construction to other recent work.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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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