Multipartite Generalization of Geometric measure of Discord

• URL: http://arxiv.org/abs/2109.11981v3
• Date: Thu, 25 Jul 2024 17:20:37 GMT
• Title: Multipartite Generalization of Geometric measure of Discord
• Authors: Ali Saif M. Hassan, Pramod S. Joag,
• Abstract summary: We find generic forms of the generalization of geometric measure of quantum discord in a general N-partite quantum state. We obtain computable exact formulas for the generalization of geometric measure of quantum discord in an N-qubit quantum state.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Radhakrishnan et.al [Phys. Rev. Lett. 124, 110401 (2020)] proposed a generalization of quantum discord to multipartite systems, which is consistency with the conventional definition of discord in bipartite systems and derived explicit formulae for any states. These results are significant in capturing quantum correlations for multi-qubit systems. We propose a generalization of geometric measure of multipartite quantum discord in the same manner. We find generic forms of the generalization of geometric measure of quantum discord in a general N-partite quantum state. Further, we obtain computable exact formulas for the generalization of geometric measure of quantum discord in an N-qubit quantum state, which include the results obtained in [arXiv:2104.12344].

Related papers

• Quantum channels, complex Stiefel manifolds, and optimization [45.9982965995401]
  We establish a continuity relation between the topological space of quantum channels and the quotient of the complex Stiefel manifold. The established relation can be applied to various quantum optimization problems.
  arXiv  Detail & Related papers  (2024-08-19T09:15:54Z)
• Geometric quantum discord of an arbitrary two-qudit state: the exact value and general upper bounds [0.0]
  We find the explicit exact analytical value of the geometric quantum discord for a general two-qudit state of an arbitrary dimension via the parameters of its correlation matrix and the Bloch vectors of its reduced states. Our new general result allows us to find for an arbitrary two-qudit state, pure or mixed, the novel upper and lower bounds on its geometric quantum discord.
  arXiv  Detail & Related papers  (2024-03-14T12:44:47Z)
• Gaussian Entanglement Measure: Applications to Multipartite Entanglement of Graph States and Bosonic Field Theory [50.24983453990065]
  An entanglement measure based on the Fubini-Study metric has been recently introduced by Cocchiarella and co-workers. We present the Gaussian Entanglement Measure (GEM), a generalization of geometric entanglement measure for multimode Gaussian states. By providing a computable multipartite entanglement measure for systems with a large number of degrees of freedom, we show that our definition can be used to obtain insights into a free bosonic field theory.
  arXiv  Detail & Related papers  (2024-01-31T15:50:50Z)
• Quantum Discord and Logarithmic Negativity in the Generalized n-qubit Werner State [0.0]
  Quantum Discord is a measure of the total quantum non-local correlations of a quantum system. We have calculated the Quantum Discord for higher than two qubit mixed state, that is, the generalized n-qubit Werner state with a bipartite split.
  arXiv  Detail & Related papers  (2022-09-30T21:18:32Z)
• Quantum discords of tripartite quantum systems [0.0]
  The quantum discord of bipartite systems is one of the best-known measures of non-classical correlations. We give analytic solutions of the quantum discord for tripartite states with fourteen parameters.
  arXiv  Detail & Related papers  (2022-05-13T01:40:28Z)
• Theory of Quantum Generative Learning Models with Maximum Mean Discrepancy [67.02951777522547]
  We study learnability of quantum circuit Born machines (QCBMs) and quantum generative adversarial networks (QGANs) We first analyze the generalization ability of QCBMs and identify their superiorities when the quantum devices can directly access the target distribution. Next, we prove how the generalization error bound of QGANs depends on the employed Ansatz, the number of qudits, and input states.
  arXiv  Detail & Related papers  (2022-05-10T08:05:59Z)
• Efficient criteria of quantumness for a large system of qubits [58.720142291102135]
  We discuss the dimensionless combinations of basic parameters of large, partially quantum coherent systems. Based on analytical and numerical calculations, we suggest one such number for a system of qubits undergoing adiabatic evolution.
  arXiv  Detail & Related papers  (2021-08-30T23:50:05Z)
• Equivalence regimes for geometric quantum discord and local quantum uncertainty [0.0]
  The concept of quantum discord aims at unveiling quantum correlations that go beyond those described by entanglement. Alternative formulations have been developed to address this drawback, such as the geometric measure of quantum discord. We show here that these two measures of quantum discord are equivalent for 2 x D dimensional bipartite quantum systems.
  arXiv  Detail & Related papers  (2021-07-29T18:24:34Z)
• Geometric Discord for Multi-qubit Systems [7.582845136495998]
  We evaluate the geometric measure of multipartite quantum discord and obtain results for a large family of multi-qubit states. Sudden change of multipartite geometric discord can appear when phase noise act only on one part of the two-, three- and four-qubit states.
  arXiv  Detail & Related papers  (2021-04-26T04:38:05Z)
• Preparing random states and benchmarking with many-body quantum chaos [48.044162981804526]
  We show how to predict and experimentally observe the emergence of random state ensembles naturally under time-independent Hamiltonian dynamics. The observed random ensembles emerge from projective measurements and are intimately linked to universal correlations built up between subsystems of a larger quantum system. Our work has implications for understanding randomness in quantum dynamics, and enables applications of this concept in a wider context.
  arXiv  Detail & Related papers  (2021-03-05T08:32:43Z)
• Preferred basis, decoherence and a quantum state of the Universe [77.34726150561087]
  We review a number of issues in foundations of quantum theory and quantum cosmology. These issues can be considered as a part of the scientific legacy of H.D. Zeh.
  arXiv  Detail & Related papers  (2020-06-28T18:07:59Z)

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.