One-Way LOCC Indistinguishable Lattice States via Operator Structures
Quantum Physics
2020-04-27 v1
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.
Cite
@article{arxiv.2004.11777,
title = {One-Way LOCC Indistinguishable Lattice States via Operator Structures},
author = {Comfort Mintah and David W. Kribs and Michael Nathanson and Rajesh Pereira},
journal= {arXiv preprint arXiv:2004.11777},
year = {2020}
}