Robustness of incompatibility for quantum devices
arXiv:1502.04881 · doi:10.1088/1751-8113/48/25/255303
Abstract
A robustness measure for incompatibility of quantum devices in the lines of the robustness of entanglement is proposed. The concept of general robustness measures is first introduced in general convex-geometric settings and these ideas are then applied to measure how incompatible a given pair of quantum devices is. The robustness of quantum incompatibility is calculated in three special cases: a pair of Fourier-coupled rank-1 sharp observables, a pair of decodable channels, where decodability means left-invertibility by a channel, and a pair consisting of a rank-1 sharp observable and a decodable channel.
26 pages, 4 figures, some refinements in sections 1 and 2, in Proposition 1, and some new references compared to the earlier version. Moreover, this new version has a new remark (Remark 1) and the old Remark 1 (now Remark 2) has been slightly extended
References in corpus (5)
Cited by in corpus (56)
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