Distinguishing classically indistinguishable states and channels
arXiv:1812.09083 · doi:10.1088/1751-8121/ab30f7
Abstract
We investigate an original family of quantum distinguishability problems, where the goal is to perfectly distinguish between quantum states that become identical under a completely decohering map. Similarly, we study distinguishability of quantum channels that cannot be distinguished when one is restricted to decohered input and output states. The studied problems arise naturally in the presence of a superselection rule, allow one to quantify the amount of information that can be encoded in phase degrees of freedom (coherences), and are related to time-energy uncertainty relation. We present a collection of results on both necessary and sufficient conditions for the existence of perfectly distinguishable states (channels) that are classically indistinguishable.
arXiv comment22 pages, 8 figures. Published version
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