Quantum causal correlations and non-Markovianity of quantum evolution

• URL: http://arxiv.org/abs/2005.04129v3
• Date: Thu, 5 Nov 2020 07:30:04 GMT
• Title: Quantum causal correlations and non-Markovianity of quantum evolution
• Authors: Shrikant Utagi
• Abstract summary: A non-Markovianity measure for quantum channels is introduced based on causality measure. Breakdown of monotonicity of the causality measure is associated with the revival of temporal correlations.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: A non-Markovianity measure for quantum channels is introduced based on causality measure - a monotone of causal (temporal) correlations - arising out of the pseudo-density matrix (PDM) formalism which treats quantum correlations in space and time on an equal footing. Using the well known damped Jaynes-Cummings model of a two-level system interacting with a bosonic reservoir at zero temperature as an example, it is shown that breakdown of monotonicity of the causality measure is associated with the revival of temporal (causal) correlations hence with the negativity of the decay rate. Also, a note on the comparison with other well known non-Markovianity measures is given.

Related papers

• Measuring the Evolution of Entanglement in Compton Scattering [101.11630543545151]
  The behavior of quantum entanglement during scattering is identical to the behavior of initially classically correlated photons up to a constant factor equal to two. Our dedicated experiment with photons confirms these results and explains the "Puzzle of Decoherence" observed recently.
  arXiv  Detail & Related papers  (2024-06-20T14:21:23Z)
• Observation of Nonlinear Response and Onsager Regression in a Photon Bose-Einstein Condensate [34.82692226532414]
  The quantum regression theorem states that the correlations of a system at two different times are governed by the same equations of motion as the temporal response of the average values. Here we experimentally demonstrate that the two-time particle number correlations in a photon Bose-Einstein condensate inside a dye-filled microcavity exhibit the same dynamics as the response of the condensate to a sudden perturbation of the dye molecule bath. This confirms the regression theorem for a quantum gas and, moreover, establishes a test of this relation in an unconventional form where the perturbation acts on the bath and only the condensate response is monitored.
  arXiv  Detail & Related papers  (2024-03-07T17:59:58Z)
• Dephasing effects on quantum correlations and teleportation in presence of state dependent bath [0.0]
  We analyze the effect of state dependent bath on the quantum correlations and the fidelity of a single qubit teleportation. It is shown that due to the presence of initial system-bath correlations, the system maintains quantum correlations for long times.
  arXiv  Detail & Related papers  (2023-07-03T15:31:19Z)
• Causal classification of spatiotemporal quantum correlations [0.0]
  We show that certain quantum correlations possess an intrinsic arrow of time, and enable classification of general quantum correlations across space-time. Our results indicate that certain quantum correlations possess an intrinsic arrow of time, and enable classification of general quantum correlations across space-time based on their (in)compatibility with various underlying causal structures.
  arXiv  Detail & Related papers  (2023-06-15T17:59:18Z)
• Observing super-quantum correlations across the exceptional point in a single, two-level trapped ion [48.7576911714538]
  In two-level quantum systems - qubits - unitary dynamics theoretically limit these quantum correlations to $2qrt2$ or 1.5 respectively. Here, using a dissipative, trapped $40$Ca$+$ ion governed by a two-level, non-Hermitian Hamiltonian, we observe correlation values up to 1.703(4) for the Leggett-Garg parameter $K_3$. These excesses occur across the exceptional point of the parity-time symmetric Hamiltonian responsible for the qubit's non-unitary, coherent dynamics.
  arXiv  Detail & Related papers  (2023-04-24T19:44:41Z)
• Quantum Causal Inference with Extremely Light Touch [0.0]
  We give an explicit quantum causal inference scheme using quantum observations alone. We derive a closed-form expression for the space-time pseudo-density matrix associated with many times and qubits. We prove that if there is no signalling between two subsystems, the associated reduced state of the pseudo-density matrix cannot have negativity.
  arXiv  Detail & Related papers  (2023-03-19T02:59:05Z)
• Effects of intrinsic decoherence on discord-like correlation measures of two-qubit spin squeezing model [0.0]
  Quantum correlation behaviours in the two-qubit spin squeezing model are studied under the influence of intrinsic decoherence. We show that the entanglement suffers from intrinsic decoherence and exhibits sudden death, whereas the other measures are more robust against intrinsic decoherence.
  arXiv  Detail & Related papers  (2023-03-04T11:06:54Z)
• Physical interpretation of nonlocal quantum correlation through local description of subsystems [19.542805787744133]
  We propose the physical interpretation of nonlocal quantum correlation between two systems. Different nonlocal quantum correlations can be discriminated from a single uncertainty relation derived under local hidden state (LHS)-LHS model only.
  arXiv  Detail & Related papers  (2022-10-01T10:13:40Z)
• Out-of-time-order correlator in the quantum Rabi model [62.997667081978825]
  We show that out-of-time-order correlator derived from the Loschmidt echo signal quickly saturates in the normal phase. We show that the effective time-averaged dimension of the quantum Rabi system can be large compared to the spin system size.
  arXiv  Detail & Related papers  (2022-01-17T10:56:57Z)
• Quantum Correlation Dynamics of Three Qubits in Non-Markovian Environments [0.0]
  We investigate the quantum correlation dynamics of three independent qubits each interacting with a zero temperature non-Markovian reservoir. It is found that the quantum correlation of such three qubits system revives after instantaneous disappearance period when a proper amount of non-Markovian is present.
  arXiv  Detail & Related papers  (2021-11-14T19:13:54Z)
• Quantum asymmetry and noisy multi-mode interferometry [55.41644538483948]
  Quantum asymmetry is a physical resource which coincides with the amount of coherence between the eigenspaces of a generator. We show that the asymmetry may emphincrease as a result of a emphdecrease of coherence inside a degenerate subspace.
  arXiv  Detail & Related papers  (2021-07-23T07:30:57Z)

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.