Resource conversion between operational coherence and multipartite entanglement in many-body systems

Meng Gao,Yan-Kui Bai,Li-Hang Ren,Z D Wang,Jun Ren

doi:10.1088/1367-2630/abd9e6

Meng Gao, Yan-Kui Bai + Show 3 more

Open Access

https://doi.org/10.1088/1367-2630/abd9e6

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Abstract

We establish a set of resource conversion relationships between quantum coherence and multipartite entanglement in many-body systems, where the operational measures of resource cost and distillation are focused. Under the multipartite incoherent operation, the initial coherence of single-party system bounds the maximal amounts of corresponding operational entanglement in an arbitrary bipartite partition as well as the genuine multipartite entanglement (GME) in many-body systems. Furthermore, the converted multipartite entanglement can be transferred to its subsystems and restored to coherence of a single party by means of local incoherent operations and classical communication, which constitutes a protocol of resource interconversion within the full incoherent operation scenario. As an example, we present a scheme for cyclic interconversion between coherence and GME in three-qubit systems without loss. Moreover, we analyze the property of bipartite and multipartite genuine multi-level entanglement by the initial coherence and investigate multipartite resource dynamics in the conversion.

Highlights

Quantum entanglement [1, 2], as an important physical resource, has been widely applied to quantum communication and quantum computation, such as quantum teleportation, quantum key distribution, one-way quantum computation and so on
In this paper, focused on resource distillation and resource formation, we study the conversion between quantum coherence and multipartite entanglement in manybody systems, which is different from the previous results in bipartite quantum systems [12, 13, 14, 15, 16]
The converted multipartite entanglement can be further transferred to its subsystems and restored to the coherence of a single-party subsystem by the local incoherent operations and classical communication (LICC), where we prove that the optimal resource conversion can make the relations saturated

Summary

Introduction

Quantum entanglement [1, 2], as an important physical resource, has been widely applied to quantum communication and quantum computation, such as quantum teleportation, quantum key distribution, one-way quantum computation and so on (see a review paper [3]). Chitambar et al provided the upper bound of assisted coherence distillation (ACD) from bipartite systems to one of the subsystems by local quantum incoherent operations and classical communication (LQICC) [17]. In the conversion from multipartite entanglement to single-party coherence, we utilize the local incoherent operations and classical communication (LICC) [29] which does not generate coherence in the assisted subsystems and can overcome the flaw of local quantum incoherent operations and classical communication (LQICC) in the cyclic resource conversion. Via multipartite incoherent operations, the initial operational coherence of single party bounds the generated bipartite operational entanglement and the genuine multipartite entanglement in the composite systems. Under the depolarization environment, different resource dynamical properties are investigated in multipartite resource conversion

Operational resource conversion in multipartite systems

Resource conversion from multipartite entanglement to coherence via LICC

Genuine multi-level entanglement and resource dynamical properties

Discussion and conclusion