Sponsor
This work has been supported in part by the National Science Foundation through Grant No. 1205931
Document Type
Post-Print
Publication Date
12-2014
Subjects
Quantum measurement, Quantum communication, Quantum operators
Abstract
We give a necessary condition that a separable measurement can be implemented by local quantum operations and classical communication (LOCC) in any finite number of rounds of communication, generalizing and strengthening a result obtained previously. That earlier result involved a bound that is tight when the number of measurement operators defining the measurement is relatively small. The present results generalize that bound to one that is tight for any finite number of measurement operators, and we also provide an extension which holds when that number is infinite. We apply these results to the famous example on a 3 × 3 system known as "domino states", which were the first demonstration of nonlocality without entanglement. Our new necessary condition provides an additional way of showing that these states cannot be perfectly distinguished by (finite- round) LOCC. It directly shows that this conclusion also holds for their cousins, the rotated domino states. This illustrates the usefulness of the present results, since our earlier necessary condition, which these results generalize, is not strong enough to reach a conclusion about the domino states.
DOI
10.1103/PhysRevA.91.062125
Persistent Identifier
http://archives.pdx.edu/ds/psu/16456
Citation Details
Cohen, Scott M., "Extended Necessary Condition for Local Operations and Classical Communication: Tight Bound for All Measurements" (2014). Physics Faculty Publications and Presentations. 245.
http://archives.pdx.edu/ds/psu/16456
Description
This is the author’s version of a work that was accepted for publication in Physical Review A. A definitive version was subsequently published in Physical Review A A 91,062125 and can be found online at: http://dx.doi.org/10.1103/PhysRevA.91.062125