Quantum coherence of steered states

Scientific Reports
Xueyuan HuHeng Fan

Abstract

Lying at the heart of quantum mechanics, coherence has recently been studied as a key resource in quantum information theory. Quantum steering, a fundamental notion originally considered by Schödinger, has also recently received much attention. When Alice and Bob share a correlated quantum system, Alice can perform a local measurement to 'steer' Bob's reduced state. We introduce the maximal steered coherence as a measure describing the extent to which steering can remotely create coherence; more precisely, we find the maximal coherence of Bob's steered state in the eigenbasis of his original reduced state, where maximization is performed over all positive-operator valued measurements for Alice. We prove that maximal steered coherence vanishes for quantum-classical states whilst reaching a maximum for pure entangled states with full Schmidt rank. Although invariant under local unitary operations, maximal steered coherence may be increased when Bob performs a channel. For a two-qubit state we find that Bob's channel can increase maximal steered coherence if and only if it is neither unital nor semi-classical, which coincides with the condition for increasing discord. Our results show that the power of steering for coherence gener...Continue Reading

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Citations

Jul 8, 2016·Scientific Reports·Ming-Liang Hu, Heng Fan
Sep 30, 2016·Scientific Reports·Xueyuan Hu, Heng Fan
Jul 2, 2016·Physical Review Letters·A StreltsovM Lewenstein
Sep 27, 2018·Scientific Reports·Ali Mortezapour, Rosario Lo Franco
Jul 27, 2017·Scientific Reports·Raul CotoMiguel Orszag

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