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arXiv · 1412.3361

No-signaling bounds for quantum cloning and metrology

Pavel Sekatski·Michalis Skotiniotis·Wolfgang Dür
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Abstract

The impossibility of superluminal communication is a fundamental principle of physics. Here we show that this principle underpins the performance of several fundamental tasks in quantum information processing and quantum metrology. In particular, we derive tight no-signaling bounds for probabilistic cloning and super-replication that coincide with the corresponding optimal achievable fidelities and rates known. In the context of quantum metrology, we derive the Heisenberg limit from the no-signaling principle for certain scenarios including reference frame alignment and maximum likelihood state estimation. We elaborate on the equivalence of assymptotic phase-covariant cloning and phase estimation for different figures of merit.

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Pavel Sekatski, Michalis Skotiniotis, Wolfgang Dür. 2015-05-05. No-signaling bounds for quantum cloning and metrology. https://doi.org/10.1103/physreva.92.022355

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