A note on the lower bounds of genuine multipartite entanglement concurrence

• URL: http://arxiv.org/abs/2504.14234v1
• Date: Sat, 19 Apr 2025 09:09:43 GMT
• Title: A note on the lower bounds of genuine multipartite entanglement concurrence
• Authors: Ming Li, Yaru Dong, Ruiqi Zhang, Xuena Zhu, Shuqian Shen, Lei Li, Shao-Ming Fei,
• Abstract summary: Quantifying quantum entanglement is a challenging and essential research area within the field.<n>This manuscript explores the relationships between bipartite entanglement concurrence, multipartite entanglement concurrence, and genuine multipartite entanglement (GME) concurrence.
• Score: 12.554006338796407
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum entanglement plays a pivotal role in quantum information processing. Quantifying quantum entanglement is a challenging and essential research area within the field. This manuscript explores the relationships between bipartite entanglement concurrence, multipartite entanglement concurrence, and genuine multipartite entanglement (GME) concurrence. We derive lower bounds on GME concurrence from these relationships, demonstrating their superiority over existing results through rigorous proofs and numerical examples. Additionally, we investigate the connections between GME concurrence and other entanglement measures, such as tangle and global negativity, in multipartite quantum systems.

Related papers

• Experimental verification of multi-copy activation of genuine multipartite entanglement [0.0]
  genuine multipartite entanglement (GME) is a type of correlation beyond biseparability.<n>It is relevant for characterizing and benchmarking complex quantum systems.<n>It can be activated from multiple copies of biseparable quantum states.
  arXiv  Detail & Related papers  (2025-10-14T12:43:21Z)
• A note on lower bounds of concurrence for arbitrary dimensional bipartite quantum states [11.522240821077304]
  We present analytical lower bounds for both concurrence and 2-concurrence based on the correlation matrices of bipartite quantum states.<n>Compared with other related lower bounds, our approach provides a better estimation of the entanglement, particularly for states with large purity.
  arXiv  Detail & Related papers  (2025-03-20T16:15:21Z)
• Genuine Multipartite Entanglement in Quantum Optimization [0.3495246564946556]
  We show that multipartite entanglement provides an upper bound to the overlap of the instantaneous state with an exact solution.<n>Our results help to shed light on how complex quantum correlations come to bear as a resource in quantum optimization.
  arXiv  Detail & Related papers  (2024-11-12T19:00:16Z)
• eQMARL: Entangled Quantum Multi-Agent Reinforcement Learning for Distributed Cooperation over Quantum Channels [98.314893665023]
  Quantum computing has sparked a potential synergy between quantum entanglement and cooperation in multi-agent environments. Current state-of-the-art quantum MARL (QMARL) implementations rely on classical information sharing. eQMARL is a distributed actor-critic framework that facilitates cooperation over a quantum channel.
  arXiv  Detail & Related papers  (2024-05-24T18:43:05Z)
• Multipartite entanglement measures: a review [0.0]
  In multipartite quantum systems, entanglement plays a crucial role in facilitating various quantum information processing tasks.<n>In this article, we review the theory of multipartite entanglement measures, with a particular focus on the genuine as well as the operational meaning.
  arXiv  Detail & Related papers  (2023-09-18T03:42:20Z)
• Dipolar quantum solids emerging in a Hubbard quantum simulator [45.82143101967126]
  Long-range and anisotropic interactions promote rich spatial structure in quantum mechanical many-body systems. We show that novel strongly correlated quantum phases can be realized using long-range dipolar interaction in optical lattices. This work opens the door to quantum simulations of a wide range of lattice models with long-range and anisotropic interactions.
  arXiv  Detail & Related papers  (2023-06-01T16:49:20Z)
• Multipartite entanglement theory with entanglement-nonincreasing operations [91.3755431537592]
  We extend the resource theory of entanglement for multipartite systems beyond the standard framework of local operations and classical communication. We demonstrate that in this adjusted framework, the transformation rates between multipartite states are fundamentally dictated by the bipartite entanglement entropies of the respective quantum states.
  arXiv  Detail & Related papers  (2023-05-30T12:53:56Z)
• Multipartite Entanglement in the Measurement-Induced Phase Transition of the Quantum Ising Chain [77.34726150561087]
  External monitoring of quantum many-body systems can give rise to a measurement-induced phase transition. We show that this transition extends beyond bipartite correlations to multipartite entanglement.
  arXiv  Detail & Related papers  (2023-02-13T15:54:11Z)
• Genuine multipartite entanglement in a one-dimensional Bose-Hubbard model with frustrated hopping [0.0]
  Frustration and quantum entanglement are exotic quantum properties in quantum many-body systems. We explore the relationship between frustration and quantum entanglement in a physical model describing strongly correlated atoms in optical lattices.
  arXiv  Detail & Related papers  (2022-09-19T08:01:21Z)
• Unification of quantum resources in tripartite systems [4.8723490038152635]
  Building the relations among different quantum resources is a vital yet challenging task in multipartite quantum systems. We focus on a unified framework of interpreting the interconversions among different quantum resources in tripartite systems. The results show that these quantum resources are intrinsic related and can be converted to each other in the framework of QRTs.
  arXiv  Detail & Related papers  (2022-05-15T11:32:40Z)
• Genuine multipartite entanglement and quantum coherence in an electron-positron system: Relativistic covariance [117.44028458220427]
  We analyze the behavior of both genuine multipartite entanglement and quantum coherence under Lorentz boosts. A given combination of these quantum resources is shown to form a Lorentz invariant.
  arXiv  Detail & Related papers  (2021-11-26T17:22:59Z)
• Experimental violations of Leggett-Garg's inequalities on a quantum computer [77.34726150561087]
  We experimentally observe the violations of Leggett-Garg-Bell's inequalities on single and multi-qubit systems. Our analysis highlights the limits of nowadays quantum platforms, showing that the above-mentioned correlation functions deviate from theoretical prediction as the number of qubits and the depth of the circuit grow.
  arXiv  Detail & Related papers  (2021-09-06T14:35:15Z)
• Computable and operationally meaningful multipartite entanglement measures [0.0]
  Multipartite entanglement is an essential resource for quantum communication, quantum computing, quantum sensing, and quantum networks. We introduce a family of multipartite entanglement measures, called Concentratable Entanglements. We show that these quantities can be efficiently estimated on a quantum computer by implementing a parallelized SWAP test.
  arXiv  Detail & Related papers  (2021-04-14T15:22:56Z)
• Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
  dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states. Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
  arXiv  Detail & Related papers  (2020-07-23T19:05:56Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.