Quantum Discord and Logarithmic Negativity in the Generalized n-qubit Werner State

• URL: http://arxiv.org/abs/2210.00096v1
• Date: Fri, 30 Sep 2022 21:18:32 GMT
• Title: Quantum Discord and Logarithmic Negativity in the Generalized n-qubit Werner State
• Authors: M. S. Ramkarthik and Devvrat Tiwari and Pranay Barkataki
• Abstract summary: 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum Discord (QD) is a measure of the total quantum non-local correlations of a quantum system. The formalism of quantum discord has been applied to various two-qubit mixed states and it has been reported that there is a non-zero quantum discord even when the states are unentangled. To this end, 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. We found that the QD saturates to a straight line with unit slope in the thermodynamic limit. Qualitative studies of entanglement between the two subsystems using logarithmic negativity revealed that the entanglement content between them increases non-uniformly with the number of qubits leading to its saturation. We have proved the above claims both analytically and numerically.

Related papers

• Quantitative bounds to propagation of quantum correlations in many-body systems [0.0]
  We establish limits to bipartite quantum correlations in many-body systems. Results confirm that proliferation of classical information in the Universe suppresses quantum correlations.
  arXiv  Detail & Related papers  (2023-10-04T00:24:06Z)
• Normal quantum channels and Markovian correlated two-qubit quantum errors [77.34726150561087]
  We study general normally'' distributed random unitary transformations. On the one hand, a normal distribution induces a unital quantum channel. On the other hand, the diffusive random walk defines a unital quantum process.
  arXiv  Detail & Related papers  (2023-07-25T15:33:28Z)
• Entanglement and quantum discord in the cavity QED models [0.0]
  We investigate the quantum correlation between light and matter in bipartite quantum systems. To gauge the degree of quantum entanglement, some entanglement measurements are introduced. consideration is given to the impacts of initial entanglement and dissipation strength on quantum discord.
  arXiv  Detail & Related papers  (2023-07-14T14:01:00Z)
• Solomon equations for qubit and two-level systems: Insights into non-Poissonian quantum jumps [41.94295877935867]
  We measure and model the combined relaxation of a qubit coupled to a discrete two-level system(TLS) environment. If the TLSs are much longer-lived than the qubit, non-exponential relaxation and non-Poissonian quantum jumps can be observed.
  arXiv  Detail & Related papers  (2023-07-13T16:51:29Z)
• A vertical gate-defined double quantum dot in a strained germanium double quantum well [48.7576911714538]
  Gate-defined quantum dots in silicon-germanium heterostructures have become a compelling platform for quantum computation and simulation. We demonstrate the operation of a gate-defined vertical double quantum dot in a strained germanium double quantum well. We discuss challenges and opportunities and outline potential applications in quantum computing and quantum simulation.
  arXiv  Detail & Related papers  (2023-05-23T13:42:36Z)
• Geometric Quantum Discord Signals Non-Factorization [0.6749750044497732]
  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.
  arXiv  Detail & Related papers  (2023-05-08T18:00:02Z)
• 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)
• Efficient Bipartite Entanglement Detection Scheme with a Quantum Adversarial Solver [89.80359585967642]
  Proposal reformulates the bipartite entanglement detection as a two-player zero-sum game completed by parameterized quantum circuits. We experimentally implement our protocol on a linear optical network and exhibit its effectiveness to accomplish the bipartite entanglement detection for 5-qubit quantum pure states and 2-qubit quantum mixed states.
  arXiv  Detail & Related papers  (2022-03-15T09:46:45Z)
• Multipartite Generalization of Geometric measure of Discord [0.0]
  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.
  arXiv  Detail & Related papers  (2021-09-24T14:13:03Z)
• 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)
• 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.