Extended necessary condition for local operations and classical communication: Tight bound for all measurements

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 $3\times3$ 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.Comment: 6 pages, no figures, comments welcome. Version 2 fixes some issues with the case of an infinite number of measurement operators. Version 3 has a minor change to the title and an added footnote about the fact that using an enlarged Hilbert space is not helpfu

Transparency and Innuendo: An Alternative to Reactive Over-Disclosure

Lassman examines the tension between transparency and other public health interests in the context of the FDA\u27s proposed Drug Watch web site. He argues that although the FDA proposal seeks to achieve a laudable goal--the prompt communication of important useful safety information about drug products to physicians and patients-- it fails to properly balance transparency and other legitimate public health interests