Measurement-device–independent randomness from local entangled states

Chaturvedi, Anubhav; Banik, Manik

doi:10.1209/0295-5075/112/30003

Cited by 35 publications

(28 citation statements)

References 48 publications

(62 reference statements)

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“…Depending on different situations correlations can be characterized in different ways, eg. nonlocal [30], steerable [31], entanglement [13], quantum correlation (discord) [17] etc that find number of practical applications [14][15][16][32][33][34][35][36][37][38][39][40][41][42][43]. It also plays important role in quantum thermodynamics [28].…”

Section: Correlation and Ergotropic Gapmentioning

confidence: 99%

Presence of quantum correlations results in a nonvanishing ergotropic gap

et al. 2016

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The paradigm of extracting work from isolated quantum system through a cyclic Hamiltonian process is a topic of immense research interest. The optimal work extracted under such process is termed as ergotropy [Europhys. Lett., 67 (4), 565(2004)]. Here, in a multi-party scenario we consider only a class of such cyclic processes that can be implemented locally, giving rise to the concept of local ergotropy. Eventually, presence of quantum correlations result in a non-vanishing thermodynamic quantity called ergotropic gap, measured by the difference between the global and local ergotropy. However the converse does not hold in general, i.e. its nonzero value does not necessarily imply presence of quantum correlations. For arbitrary multi-party states we quantify this gap. We also evaluate the difference between maximum global and local extractable work for arbitrary states when the system is no longer isolated but put in contact with a baths of same local temperature.

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Section: Correlation and Ergotropic Gapmentioning

confidence: 99%

Presence of quantum correlations results in a nonvanishing ergotropic gap

et al. 2016

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“…One generalization of this protocol to the quantum-input scenario under the name measurement-device-independent randomness certification has been introduced in [50]. Analogously to the ability to detect entanglement of all entangled states, even those that do not violate any Bell inequality, the authors of [50] prove that it is possible to extract randomness from local entangled states in a measurement-deviceindependent way. They use the analogue of the program (29) with the constraint that the probabilities p(a, b|ψ x , ψ y ) violate the inequality corresponding to a specific MDIEW.…”

Section: Randomness From Quantum Inputsmentioning

confidence: 99%

Measurement-device-independent entanglement and randomness estimation in quantum networks

2017

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Detection of entanglement in quantum networks consisting of many parties is one of the important steps towards building quantum communication and computation networks. We consider a scenario where the measurement devices used for this certification are uncharacterised. In this case, it is well known that by using quantum states as inputs for the measurement devices it is possible to detect any entangled state (a situation known as measurement device-independent entanglement witnessing). Here we go beyond entanglement detection and provide methods to estimate the amount of entanglement in a quantum network. We also consider the task of randomness certification and show that randomness can be certified in a variety of cases, including single-partite experiments or setups using only separable states. II. MEASUREMENT-DEVICE-INDEPENDENT ENTANGLEMENT CERTIFICATIONWe start by reviewing some of the main results on entanglement certification in Bell scenario with quantum inputs, and by proposing some improvements on this task. We consider arXiv:1702.04752v2 [quant-ph] 1 May 2017Notice however that this relaxation is not able to detect PPT entangled states. A second, more stringent, relaxation of the set of separable operators is the set of the operators having

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“…In this context one can try to capture the ability of a state, which is 'local' based on all the existing notions of nonlocality, to reveal a weaker form of nonlocality. For instance, in [6], the author showed that mixed entangled bipartite quantum states having a local description can be used to certify randomness in a measurement device independent randomnesscertification task.…”

Section: Motivationmentioning

confidence: 99%

Conditional steering under the von Neumann scenario

et al. 2017

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In [Phys. Lett. A 166, 293 (1992)] Popescu characterized nonlocality of pure n-partite entangled systems by studying bipartite violation of local realism when n − 2 number of parties perform projective measurements on their particles. A pertinent question in this scenario is whether similar characterization is possible for n-partite mixed entangled states also. In the present work we have followed an analogous approach so as to explore whether given a tripartite mixed entangled state the conditional bipartite states obtained by performing projective measurement on the third party, demonstrate a weaker form of nonlocality, quantum steering. We also compare this new phenomenon of conditional steering with existing notions of tripartite correlations. Interestingly the tripartite state need not be genuinely entangled to demonstrate conditional steering.

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Measurement-device–independent randomness from local entangled states

Cited by 35 publications

References 48 publications

Presence of quantum correlations results in a nonvanishing ergotropic gap

Presence of quantum correlations results in a nonvanishing ergotropic gap

Measurement-device-independent entanglement and randomness estimation in quantum networks

Conditional steering under the von Neumann scenario

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