Quantum coherence of steered states

Hu, Xueyuan; Milne, Antony; Zhang, Boyang and Fan, Heng. 2016. Quantum coherence of steered states. Scientific Reports, 6(19365), ISSN 2045-2322 [Article]

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Abstract or Description

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 Schrödinger, 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 generation, though related to discord, is distinct from existing measures of quantum correlation.

Item Type:

Article

Identification Number (DOI):

https://doi.org/10.1038/srep19365

Departments, Centres and Research Units:

Computing

Dates:

DateEvent
8 September 2015Submitted
11 December 2015Accepted
19 January 2016Published

Item ID:

24716

Date Deposited:

25 Oct 2018 15:51

Last Modified:

29 Apr 2020 16:56

Peer Reviewed:

Yes, this version has been peer-reviewed.

URI:

http://research.gold.ac.uk/id/eprint/24716

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