Network Quantum Steering

Jones, Benjamin D. M.; Šupić, Ivan; Uola, Roope; Brunner, Nicolás; Skrzypczyk, Paul

doi:10.1103/physrevlett.127.170405

Cited by 38 publications

(17 citation statements)

References 36 publications

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“…This intrigues a natural problem to explore new way for general multipartite entanglements. While the entanglement is the weakest nonlocality of quantum states, one may explore new hierarchies in terms of the so-called multipartite steering [32,33] or Bell nonlocality [4,24]. This is of special importance for recovering novel multipartite nonlocality beyond bipartite scenarios.…”

Section: Resultsmentioning

confidence: 99%

Genuinely Multipartite Entanglement vias Quantum Communication

Luo¹,

Fei²

2022

Preprint

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Multipartite entanglement is of important resources for quantum communication and quantum computation. Our goal in this paper is to characterize general multipartite entanglement according to quantum biseparable channels. We firstly prove a no-go result for fully genuinely multipartite entanglement on finite-dimensional spaces with the biseparable channel model. We further propose a semi-device-independent entanglement model depending on the connection ability in quantum circuit. This implies a complete hierarchy of genuinely multipartite entanglements. It also provides a completely different multipartite nonlocality from quantum network entanglements. These results show new insights for multipartite entanglement, quantum network, and measurement-based quantum computation.

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Section: Resultsmentioning

confidence: 99%

Genuinely Multipartite Entanglement vias Quantum Communication

Luo¹,

Fei²

2022

Preprint

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“…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]? All these questions will be the object of future research.…”

Section: Discussionmentioning

confidence: 98%

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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“…This intrigues a natural problem to explore new way for general multipartite entanglements. While the entanglement is the weakest nonlocality of quantum states, one may explore new hierarchies in terms of the so-called multipartite steering [40,41] or Bell nonlocality. [4,12] This is of special importance for recovering novel multipartite nonlocality beyond bipartite scenarios.…”

Section: Discussionmentioning

confidence: 99%

Genuinely Multipartite Entanglement Vias Shallow Quantum Circuits

Luo

Fei

2022

Adv Quantum Tech

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Multipartite entanglement is of important resources for quantum communication and quantum computation. The goal of this paper is to characterize general multipartite entangled states according to shallow quantum circuits. It is first proved that any genuinely multipartite entanglement on finite-dimensional spaces can be generated by using 2-layer shallow quantum circuit consisting of two biseparable quantum channels, which has the smallest nontrivial circuit depth in the shallow quantum circuit model. Further, a semi-device-independent entanglement model depending on the local connection ability in the second layer of quantum circuits is proposed. This implies a complete hierarchy of distinguishing genuinely multipartite entangled states. It shows a completely different multipartite nonlocality from the quantum network entanglement. These results show new insights for the multipartite entanglement, quantum network, and measurement-based quantum computation.

show abstract

Network Quantum Steering

Cited by 38 publications

References 36 publications

Genuinely Multipartite Entanglement vias Quantum Communication

Genuinely Multipartite Entanglement vias Quantum Communication

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

Genuinely Multipartite Entanglement Vias Shallow Quantum Circuits

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