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arXiv · 2004.11777

One-Way LOCC Indistinguishable Lattice States via Operator Structures

Comfort Mintah·David W. Kribs·Michael Nathanson·Rajesh Pereira
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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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Comfort Mintah, David W. Kribs, Michael Nathanson, Rajesh Pereira. 2020-04-24. One-Way LOCC Indistinguishable Lattice States via Operator Structures. https://arxiv.org/abs/2004.11777

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