Multipartite entanglement outperforming bipartite entanglement under limited quantum system sizes

Abstract

Multipartite quantum entanglement serves as a resource for spatially separated parties performing distributed quantum information processing. Any multipartite entangled state can be generated from appropriately distributed bipartite entangled states by local operations and classical communication (LOCC), and in this sense, any distributed process based on shared multipartite entanglement and LOCC is simulatable by using only bipartite entangled states and LOCC. We show here that this reduction scenario does not hold when there exists a limitation on the size of the local quantum system of each party. Under such a limitation, we prove that there exists a set of multipartite quantum states such that these states in the set cannot be prepared from any distribution of bipartite entanglement while the states can be prepared from a common resource state exhibiting multipartite entanglement. We also show that temporal uses of bipartite quantum communication resources within a limitation of local system sizes are sufficient for preparing this common resource state exhibiting multipartite entanglement, yet there also exist other states exhibiting multipartite entanglement which cannot be prepared even in this setting. Hence, when the local quantum system sizes are limited, multipartite entanglement is an indispensable resource without which certain processes still cannot be accomplished.

arXiv comment11 pages, 6 figures, published in Physical Review A (Editors' Suggestion)

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• Asymptotic survival of genuine multipartite entanglement in noisy quantum networks depends on the topology
• An approach to constructing genuinely entangled subspaces of maximal dimension
• State exchange with quantum side information
• Construction of genuinely multipartite entangled subspaces and the associated bounds on entanglement measures for mixed states
• Accelerating multipartite entanglement generation in non-Hermitian superconducting qubits
• Construction of genuinely entangled multipartite subspaces from bipartite ones by reducing the total number of separated parties
• Simple loss-tolerant protocol for GHZ-state distribution in a quantum network
• Deterministic transformations of three-qubit entangled pure states
• Distributed Encoding and Decoding of Quantum Information over Networks
• Scalable & Noise-Robust Communication Advantage of Multipartite Quantum Entanglement
• Multipartite entanglement generation in coupled microcavity arrays
• All multipartite entanglements are quantum coherences in locally distinguishable bases
• Detecting genuine multipartite entanglement using moments of positive maps
• Generation and evaluation of multipartite entanglement with multi-rail encoding in linear optics networks
• Device-Independent Certification of Multipartite Distillable Entanglement
• Probing multipartite entanglement, coherence and quantum information preservation under classical Ornstein-Uhlenbeck noise
• Detecting genuine multipartite entanglement in multi-qubit devices with restricted measurements
• Characterizing multipartite entanglement by violation of CHSH inequalities
• Experimental verification of multi-copy activation of genuine multipartite entanglement
• Lorentz invariants of pure three-qubit states