Several trade off features of quantum steering in distributed scenario View Full Text


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Article Info

DATE

2019-04

AUTHORS

Arup Roy, Some Sankar Bhattacharya, Amit Mukherjee, Nirman Ganguly, Biswajit Paul, Kaushiki Mukherjee

ABSTRACT

In the present work we address the question of how bipartite steering violation takes place among multi-partite systems (where each sub-system have Hilbert space dimension restricted to two) based on the maximal violations of the bipartite steering inequality of the reduced pairwise qubit systems. We have derived a trade-off relation which is satisfied by those pair wise bipartite maximal steering violations, which physically can be understood as providing restrictions on the distribution of steering among sub systems. For a three-qubit system, it is impossible that all pairs of qubits violate the steering inequality, and once a pair of qubits violates the steering inequality maximally, the other two pairs of qubits must both obey the steering inequality. We also present a complementarity relation between genuine entanglement present in a tripartite state and maximum bipartite steering violation by its reduced states. More... »

PAGES

66

Identifiers

URI

http://scigraph.springernature.com/pub.10.1140/epjd/e2019-90184-3

DOI

http://dx.doi.org/10.1140/epjd/e2019-90184-3

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1113120462


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