Geometric Quantum Discord Signals Non-Factorization

• URL: http://arxiv.org/abs/2305.04952v3
• Date: Mon, 21 Aug 2023 07:21:59 GMT
• Title: Geometric Quantum Discord Signals Non-Factorization
• Authors: Souvik Banerjee, Pablo Basteiro, Rathindra Nath Das, Moritz Dorband
• Abstract summary: We show how non-vanishing discord implies that the corresponding partition function does not factorize. We connect the non-vanishing of GQD with the existence of wormhole microstates.
• Score: 0.6749750044497732
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We propose the information-theoretic quantity of geometric quantum discord (GQD) as an indicator of the factorization properties of a given quantum system. In particular, we show how non-vanishing discord implies that the corresponding partition function does not factorize, both for generic pure states and the thermofield double state as a state with a known geometric dual in light of the AdS/CFT correspondence. Via this analysis, we give a novel interpretation to the thermomixed double state as the best purely classical approximation of the Einstein-Rosen bridge. We connect the non-vanishing of GQD with the existence of wormhole microstates.

Related papers

• Hilbert space geometry and quantum chaos [39.58317527488534]
  We consider the symmetric part of the QGT for various multi-parametric random matrix Hamiltonians. We find for a two-dimensional parameter space that, while the ergodic phase corresponds to the smooth manifold, the integrable limit marks itself as a singular geometry with a conical defect.
  arXiv  Detail & Related papers  (2024-11-18T19:00:17Z)
• A New Genuine Multipartite Entanglement Measure: from Qubits to Multiboundary Wormholes [0.0]
  We introduce the Latent Entropy (L-entropy) as a novel measure to characterize the genuine multipartite entanglement in quantum systems. We demonstrate that the measure functions as a multipartite pure state entanglement monotone and briefly address its extension to mixed multipartite states. In particular, we show that for $n geq 5$, random states approximate 2-uniform states with maximal multipartite entanglement.
  arXiv  Detail & Related papers  (2024-11-18T19:00:03Z)
• Polar Duality and Quasi-States: a Geometric Picture of Quantum Indeterminacy [0.0]
  We introduce the notion of "quasi-states" which are related in a way that will be explained to the notion of "quantum blob" Considering the symmetries of the quasi-states leads to the definition of the canonical group of a quasi-state, which allows to classify them.
  arXiv  Detail & Related papers  (2024-07-09T09:00:14Z)
• One-Shot Min-Entropy Calculation And Its Application To Quantum Cryptography [21.823963925581868]
  We develop a one-shot lower bound calculation technique for the min-entropy of a classical-quantum state. It gives an alternative tight finite-data analysis for the well-known BB84 quantum key distribution protocol. It provides a security proof for a novel source-independent continuous-variable quantum random number generation protocol.
  arXiv  Detail & Related papers  (2024-06-21T15:11:26Z)
• Identifying non-Hermitian critical points with quantum metric [2.465888830794301]
  The geometric properties of quantum states are encoded by the quantum geometric tensor. For conventional Hermitian quantum systems, the quantum metric corresponds to the fidelity susceptibility. We extend this wisdom to the non-Hermitian systems for revealing non-Hermitian critical points.
  arXiv  Detail & Related papers  (2024-04-24T03:36:10Z)
• Quantum Discord Witness with Uncharacterized Devices [18.751513188036334]
  We propose a new approach using uncharacterized measurements to witness quantum discord of an unknown bipartite state within arbitrary dimension system. The feature of high robustness against device imperfections, such as loss-tolerance and error-tolerance, shows our method is experimentally feasible.
  arXiv  Detail & Related papers  (2023-03-20T14:51:53Z)
• Entropy Uncertainty Relations and Strong Sub-additivity of Quantum Channels [17.153903773911036]
  We prove an entropic uncertainty relation for two quantum channels. Motivated by Petz's algebraic SSA inequality, we also obtain a generalized SSA for quantum relative entropy.
  arXiv  Detail & Related papers  (2023-01-20T02:34:31Z)
• Observation of partial and infinite-temperature thermalization induced by repeated measurements on a quantum hardware [62.997667081978825]
  We observe partial and infinite-temperature thermalization on a quantum superconducting processor. We show that the convergence does not tend to a completely mixed (infinite-temperature) state, but to a block-diagonal state in the observable basis.
  arXiv  Detail & Related papers  (2022-11-14T15:18:11Z)
• 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)
• Finite-temperature quantum discordant criticality [0.0]
  In quantum statistical mechanics, finite-temperature phase transitions are governed by classical field theories. Recent contributions have shown how entanglement is typically very short-ranged, and thus uninformative about long-ranged critical correlations. We show the existence of finite-temperature phase transitions where a broader form of quantum correlation than entanglement, the entropic quantum discord, can display genuine signatures of critical behavior.
  arXiv  Detail & Related papers  (2021-10-20T14:45:51Z)
• Quantum Statistical Complexity Measure as a Signalling of Correlation Transitions [55.41644538483948]
  We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signalling function of quantum order-disorder transitions. We apply our measure to two exactly solvable Hamiltonian models, namely: the $1D$-Quantum Ising Model and the Heisenberg XXZ spin-$1/2$ chain. We also compute this measure for one-qubit and two-qubit reduced states for the considered models, and analyse its behaviour across its quantum phase transitions for finite system sizes as well as in the thermodynamic limit by using Bethe ansatz.
  arXiv  Detail & Related papers  (2020-02-05T00:45:21Z)

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.