Phase space analysis of Bell inequalities for mixed Gaussian states

• URL: http://arxiv.org/abs/2501.04078v1
• Date: Tue, 07 Jan 2025 19:00:01 GMT
• Title: Phase space analysis of Bell inequalities for mixed Gaussian states
• Authors: Gurpahul Singh, Kelly Wurtz, Eduardo Martín-Martínez,
• Abstract summary: We evaluate Bell inequality violations in continuous variable systems. We leverage results to analyze the effect of temperature on violations of Bell inequalities in a two-mode squeezed thermal state. We also explore the non-monotonic relationship between the violations of Bell inequalities and the amount of entanglement present in this family of mixed states.
• Score: 0.0
• License:
• Abstract: We present a phase space formalism to evaluate Bell inequality violations in continuous variable systems. By doing so we can generalize previous analyses (which have dealt only with pure states) to arbitrary mixed states. We leverage these results to analyze the effect of temperature on violations of Bell inequalities in a two-mode squeezed thermal state, which can become useful in tests of local realism in the presence of thermal noise. We also explore the non-monotonic relationship between the violations of Bell inequalities and the amount of entanglement present in this family of mixed states. Additionally, we discuss the optimal choices of pseudospin operators for states beyond the two-mode squeezed vacuum.

Related papers

• Dynamics of Topological Defects in a Rashba Spin-Orbit Coupled Bose-Einstein Condensate [14.50864620620941]
  We investigate the quench dynamics of a two-dimensional Rashba spin-orbit coupled Bose-Einstein condensate. During this quench, topological defects emerge in the form of vortices.
  arXiv  Detail & Related papers  (2024-12-25T09:31:42Z)
• Nonlocality under Jaynes-Cummings evolution: beyond pseudospin operators [44.99833362998488]
  We re-visit the generation and evolution of (Bell) nonlocality in hybrid scenarios whose dynamics is determined by the Jaynes-Cummings Hamiltonian. Recent results on the optimal Bell violation in qubit-qudit systems show that the nonlocality is much greater than previously estimated.
  arXiv  Detail & Related papers  (2024-10-14T16:01:23Z)
• Non-equilibrium dynamics of charged dual-unitary circuits [44.99833362998488]
  interplay between symmetries and entanglement in out-of-equilibrium quantum systems is currently at the centre of an intense multidisciplinary research effort. We show that one can introduce a class of solvable states, which extends that of generic dual unitary circuits. In contrast to the known class of solvable states, which relax to the infinite temperature state, these states relax to a family of non-trivial generalised Gibbs ensembles.
  arXiv  Detail & Related papers  (2024-07-31T17:57:14Z)
• Relaxation of maximally entangled quantum states of two nonequivalent nuclear spins in a liquid [49.1574468325115]
  We investigate the relaxation of pseudo-pure maximally entangled states (Bell states) of two nuclear spins 1H-13C belonging to a molecule in a liquid. Our relaxation measurements reveal different relaxation rates for different Bell states.
  arXiv  Detail & Related papers  (2024-03-06T18:34:24Z)
• Optimizing Fictitious States for Bell Inequality Violation in Bipartite Qubit Systems [5.151248813215795]
  We show that if Bell inequality violation is observed with a fictitious state, then it implies the same for a quantum sub-state. We further show analytically that the basis which diagonalizes the spin-spin correlations is optimal for constructing fictitious states.
  arXiv  Detail & Related papers  (2023-11-15T18:05:44Z)
• Symmetric multipartite Bell inequalities via Frank-Wolfe algorithms [22.554728415868574]
  We study the nonlocality robustness of the Greenberger-Horne-Zeilinger (GHZ) state in multipartite Bell scenarios. We exploit the symmetry of the resulting correlation tensor to drastically accelerate the computation of a Bell inequality.
  arXiv  Detail & Related papers  (2023-10-31T17:43:59Z)
• Nonclassical correlations of radiation in relation to Bell nonlocality [0.0]
  We analyze nonclassical correlations between outcomes of measurements conducted on two spatial radiation modes. Nonclassical correlations are related to Bell nonlocality, the former being a more general class of quantum correlations.
  arXiv  Detail & Related papers  (2021-12-13T21:17:18Z)
• Bell correlations in a split two-mode-squeezed Bose-Einstein condensate [4.5472272129671065]
  We analyze a protocol for observing a violation of the Clauser-Horne-Shimony-Holt (CHSH) Bell inequality using two spatially separated Bose-Einstein condensates (BECs) To prepare the Bell-correlated state, spin-changing collisions are used to first prepare a two-mode squeezed BEC. Spin-changing collisions are also exploited locally, to compensate local squeezing terms.
  arXiv  Detail & Related papers  (2021-01-15T16:03:24Z)
• Bipartite temporal Bell inequalities for two-mode squeezed states [0.0]
  We study bipartite temporal Bell inequalities for continuous systems placed in two-mode squeezed states. We highlight the role played by the rotation angle, which is one of the three parameters characterising a two-mode squeezed state.
  arXiv  Detail & Related papers  (2020-07-01T13:00:05Z)
• Violation of Bell inequalities by stochastic simulations of Gaussian States based on their positive Wigner representation [0.0]
  We study the use of an everywhere positive Wigner function as a probability density to perform simulations in quantum optics. Because of the difference between symmetrically and normally ordered operators, some trajectories in simulations can imply negative intensities, despite a positive mean. For the case of the Clauser-Horn Bell inequality, the influence of the quantum efficiency of the detectors is studied.
  arXiv  Detail & Related papers  (2020-06-28T08:12:27Z)
• Constructing Multipartite Bell inequalities from stabilizers [21.98685929768227]
  We propose a systematical framework to construct Bell inequalities from stabilizers maximally violated by general stabilizer states. We show that the constructed Bell inequalities can self-test any stabilizer state which is essentially device-independent. Our framework can not only inspire more fruitful multipartite Bell inequalities from conventional verification methods, but also pave the way for their practical applications.
  arXiv  Detail & Related papers  (2020-02-05T16:07:11Z)

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.