Multipartite Two-partite Quantum Correlation and Its Three Types of Measures

• URL: http://arxiv.org/abs/2308.03044v5
• Date: Fri, 15 Dec 2023 14:23:06 GMT
• Title: Multipartite Two-partite Quantum Correlation and Its Three Types of Measures
• Authors: Jing-Min Zhu
• Abstract summary: Multipartite quantum correlation (MQC) not only explains many novel microscopic and macroscopic quantum phenomena, but also holds promise for specific quantum technologies with superiorities. We propose a novel description called multipartite two-partite QC, which provides an intuitive and clear physical picture.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Multipartite quantum correlation (MQC) not only explains many novel microscopic and macroscopic quantum phenomena, but also holds promise for specific quantum technologies with superiorities. MQCs descriptions and measures have been an open topic, due to their rich and complex organization and structure. Here reconsidering MQC descriptions and their practical applications in some quantum technologies, we propose a novel description called multipartite two-partite QC, which provides an intuitive and clear physical picture. Specifically, we present three types of measures: one class based on minimal entropy-like difference of local measurement fore-and-aft multipartite two-partite density matrix such as multipartite two-partite quantum discord (QD), another class based on minimal trace-like geometric distance such as multipartite two-partite Hilbert-Schmidt Distance (HSD), and a third class based on decoherence such as multipartite two-partite Local Measurement-Induced Minimal Decoherence (LMIMD) and Local Eigen-Measurement-Induced Decoherence (LEMID). Their computations required for these measures are relatively easy. All of the advantages make them promising candidates for specific potential applications in various quantum technologies. Finally, we employ these three types of measures to explore the organization and structure of some typical genuine MQCs, and analyze their relative characteristics based on their physical implications and mathematical structures.

Related papers

• Multipartite correlation measures and framework for multipartite quantum resources theory [0.0]
  This paper focuses on investigating true multipartite quantum correlation measures.<n>We find that the true measures of different MQCs exhibit distinct hierarchy conditions based on their inherent characteristics.<n>We also show that, multipartite steering is an asymmetric multipartite quantum resource.
  arXiv  Detail & Related papers  (2025-07-30T03:21:18Z)
• Macroscopic quantum coherence and entanglement in mechanical systems [0.0]
  We introduce two measures that capture independent macroscopic properties. We find evidence for genuine multipartite entanglement of $106$ to $107$ atoms in recent mechanical superposition states.
  arXiv  Detail & Related papers  (2025-03-11T11:35:34Z)
• Reduction-induced the Variation of Partial Von Neumann Entropy [0.0]
  We propose Reduction-induced the Variation of Partial Von Neumann Entropy (RIVPVNE) to quantify QE in bipartite mixed states. The computational complexity associated with this method is minimal. Moreover, it has a wide range of applicability. We employ this method to investigate the organization and structure of some well-known QEs.
  arXiv  Detail & Related papers  (2024-12-22T14:11:29Z)
• Non-unitary Coupled Cluster Enabled by Mid-circuit Measurements on Quantum Computers [37.69303106863453]
  We propose a state preparation method based on coupled cluster (CC) theory, which is a pillar of quantum chemistry on classical computers. Our approach leads to a reduction of the classical computation overhead, and the number of CNOT and T gates by 28% and 57% on average.
  arXiv  Detail & Related papers  (2024-06-17T14:10:10Z)
• Quantum State Transfer in Interacting, Multiple-Excitation Systems [41.94295877935867]
  Quantum state transfer (QST) describes the coherent passage of quantum information from one node to another. We describe Monte Carlo techniques which enable the discovery of a Hamiltonian that gives high-fidelity QST. The resulting Jaynes-Cummings-Hubbard and periodic Anderson models can, in principle, be engineered in appropriate hardware to give efficient QST.
  arXiv  Detail & Related papers  (2024-05-10T23:46:35Z)
• Almost device-independent certification of GME states with minimal measurements [41.94295877935867]
  Device-independent certification of quantum states allows the characterization of quantum states present inside a device. A major problem in this regard is to certify quantum states using minimal resources. We consider the multipartite quantum steering scenario with an arbitrary number of parties but only one of which is trusted in the sense that the measurements performed by the trusted party are known.
  arXiv  Detail & Related papers  (2024-02-28T17:54:55Z)
• Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain [46.99825956909532]
  Local quantum measurements do not simply disentangle degrees of freedom, but may actually strengthen the entanglement in the system. This paper explores how a finite density of local measurement modifies a given state's entanglement structure.
  arXiv  Detail & Related papers  (2023-10-04T09:51:00Z)
• Quantum State Tomography for Matrix Product Density Operators [28.799576051288888]
  Reconstruction of quantum states from experimental measurements is crucial for the verification and benchmarking of quantum devices. Many physical quantum states, such as states generated by noisy, intermediate-scale quantum computers, are usually structured. We establish theoretical guarantees for the stable recovery of MPOs using tools from compressive sensing and the theory of empirical processes.
  arXiv  Detail & Related papers  (2023-06-15T18:23:55Z)
• Informationally complete measures of quantum entanglement [0.0]
  We introduce a family of entanglement measures which are given by the complete eigenvalues of the reduced density matrices of the system. It is demonstrated that such ICEMs can characterize finer and distinguish better the entanglement than existing well-known entanglement measures.
  arXiv  Detail & Related papers  (2022-06-22T19:27:07Z)
• Quantum state inference from coarse-grained descriptions: analysis and an application to quantum thermodynamics [101.18253437732933]
  We compare the Maximum Entropy Principle method, with the recently proposed Average Assignment Map method. Despite the fact that the assigned descriptions respect the measured constraints, the descriptions differ in scenarios that go beyond the traditional system-environment structure.
  arXiv  Detail & Related papers  (2022-05-16T19:42:24Z)
• Genuinely Multipartite Entanglement vias Shallow Quantum Circuits [0.0]
  We prove any genuinely multipartite entanglement on finite-dimensional spaces can be generated by using 2-layer shallow quantum circuit. We propose a semi-device-independent entanglement model depending on the local connection ability. Results show new insights for the multipartite entanglement, quantum network, and measurement-based quantum computation.
  arXiv  Detail & Related papers  (2022-04-20T07:41:30Z)
• Geometric mean of bipartite concurrences as a genuine multipartite entanglement measure [0.0]
  We propose the geometric mean of bipartite concurrences as a genuine multipartite entanglement measure. We show that our measure results in distinct entanglement orderings from other measures, and can detect differences in certain types of genuine multipartite entanglement.
  arXiv  Detail & Related papers  (2021-12-20T13:04:28Z)
• A thorough introduction to non-relativistic matrix mechanics in multi-qudit systems with a study on quantum entanglement and quantum quantifiers [0.0]
  This article provides a deep and abiding understanding of non-relativistic matrix mechanics. We derive and analyze the respective 1-qubit, 1-qutrit, 2-qubit, and 2-qudit coherent and incoherent density operators. We also address the fundamental concepts of quantum nondemolition measurements, quantum decoherence and, particularly, quantum entanglement.
  arXiv  Detail & Related papers  (2021-09-14T05:06:47Z)
• On exploring the potential of quantum auto-encoder for learning quantum systems [60.909817434753315]
  We devise three effective QAE-based learning protocols to address three classically computational hard learning problems. Our work sheds new light on developing advanced quantum learning algorithms to accomplish hard quantum physics and quantum information processing tasks.
  arXiv  Detail & Related papers  (2021-06-29T14:01:40Z)
• Probing quantum information propagation with out-of-time-ordered correlators [41.12790913835594]
  Small-scale quantum information processors hold the promise to efficiently emulate many-body quantum systems. Here, we demonstrate the measurement of out-of-time-ordered correlators (OTOCs) A central requirement for our experiments is the ability to coherently reverse time evolution.
  arXiv  Detail & Related papers  (2021-02-23T15:29:08Z)
• On The Round Complexity of Secure Quantum Computation [17.832774161583036]
  We construct the first constant-round protocols for secure quantum computation in the two-party (2PQC) and multi-party (MPQC) settings with security against malicious adversaries.
  arXiv  Detail & Related papers  (2020-11-23T05:20:28Z)

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.