Distillation of genuine tripartite Einstein-Podolsky-Rosen steering

Gupta, Shashank; Das, Debarshi; Majumdar, A. S.

doi:10.1103/physreva.104.022409

Cited by 12 publications

(4 citation statements)

References 64 publications

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“…Moreover, what happens when moving from the bipartite to the multipartite scenario? It has been shown that the Greenberger-Horne-Zeilinger and W-type assemblages generated by the corresponding multiparty-entangled types can be distilled by local filter [57]. Can our approach be generalized in recent proposed steering networks [58] or multipartite steering [59]?…”

Section: Discussionmentioning

confidence: 99%

Complete classification of steerability under local filters and its relation with measurement incompatibility

Ku,

Hsieh,

Chen

et al. 2022

Preprint

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Quantum steering is the central resource for one-sided device-independent quantum information. It is manipulated via one-way local operations and classical communication, such as local filtering on the trusted party.Here, we provide a necessary and sufficient condition for a steering assemblage to be transformable into another one via local filtering. We characterize the equivalence classes with respect to filters in terms of the steering equivalent observables measurement assemblage (SEO), first proposed to connect the problem of steerability with measurement incompatibility. We provide an efficient method to compute the maximal extractable steerability via local filters and show that it coincides with the incompatibility of the SEO. Moreover, we show that there always exists a bipartite state that provides an assemblage with steerability equal to the incompatibility of the measurements on the untrusted party. Finally, we investigate the optimal success probability and rates for transformation protocols (distillation and dilution) in the single-shot scenario together with examples.

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Section: Discussionmentioning

confidence: 99%

Complete classification of steerability under local filters and its relation with measurement incompatibility

Ku,

Hsieh,

Chen

et al. 2022

Preprint

View full text Add to dashboard Cite

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“…However, we have obtained a maximum of 4 Eves when each party is performing dichotomic measurements showing an increment from the previous work. On the other hand in biased case when only the measurement corresponding to Eves' σ x measurement is unsharp and each Eve perform some unitary operation before sending the post-measured state to next Eve followed by the particular Alice's measurement (21), we get an unbounded number of Eves. Bob can assure the security of QKD protocol by having higher secret key rate and terminating the protocol in adverse scenario of drop in secret key rate below a threshold value.…”

Section: Discussionmentioning

confidence: 99%

“…Quantum steering [14][15][16][17][18][19][20][21] is an intermediate correlation between entanglement and Bell-nonlocality, was discovered by E. Shrödinger as an interpretation of the famous work by Einstein-Podolsky-Rosen [22]. It is the key resource behind 1S-DIQKD whose security is based on the monogamy of the quantum steering [23].…”

Section: Introductionmentioning

confidence: 99%

Eavesdropping a Quantum Key Distribution network using sequential quantum unsharp measurement attacks

Yash¹,

Hariprasad²,

Shah³

et al. 2021

Preprint

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We investigate the possibility of eavesdropping a quantum key distribution network by local sequential quantum unsharp measurement attacks by the eavesdropper. In particular, we consider a pure two-qubit state shared between two parties Alice and Bob, sharing quantum steerable correlations that form the one-sided device-independent quantum key distribution network. One qubit of the shared state is with Alice and the other one while going to the Bob's place is intercepted by multiple sequential eavesdropper who perform quantum unsharp measurement attacks thus gaining some positive key rate while preserving the quantum steerable correlations for the Bob. In this way, Bob will also have positive secret key rate although reduced. However, this reduction is not that sharp and can be perceived due to decoherence and imperfection of the measurement devices. At the end, we show that unbounded number of eavesdropper can also get secret information in some specific scenario.

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“…We refer the reader to see Refs. [63][64][65][66] when the most general cases are considered. Therefore, the effective evolution of W under the superposition scenario can be written as…”

Section: Fig 2 Schematic Illustration Of the Work Extraction Processmentioning

confidence: 99%

Maxwell's two-demon engine under pure dephasing noise

Chan,

Huang,

Lin

et al. 2022

Preprint

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The interplay between thermal machines and quantum correlations is of great interest in both quantum thermodynamics and quantum information science. Recently, a quantum Szilárd engine has been proposed, showing that the quantum steerability between a Maxwell's demon and a work medium can be beneficial to a work extraction task. Nevertheless, this type of quantum-fueled machine is usually fragile in the presence of decoherence effects. We provide an example of the pure dephasing process, showing that the engine's quantumness can be degraded. Therefore, in this work, we tackle this question by introducing a second demon who can access a control system and make the work medium pass through two dephasing channels in a manner of quantum superposition. Furthermore, we provide a quantum circuit to simulate our proposed concept and test it on IBMQ and IonQ quantum computers.

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Distillation of genuine tripartite Einstein-Podolsky-Rosen steering

Cited by 12 publications

References 64 publications

Complete classification of steerability under local filters and its relation with measurement incompatibility

Complete classification of steerability under local filters and its relation with measurement incompatibility

Eavesdropping a Quantum Key Distribution network using sequential quantum unsharp measurement attacks

Maxwell's two-demon engine under pure dephasing noise

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