Many-body Bell inequalities for bosonic qubits
- URL: http://arxiv.org/abs/2109.15156v3
- Date: Fri, 1 Apr 2022 15:14:32 GMT
- Title: Many-body Bell inequalities for bosonic qubits
- Authors: Jan Chwedenczuk
- Abstract summary: This work is to analyze a set of Bell inequalities suitable for a possibly broad family of many-body systems.
We develop a method that allows for a step-by-step study of the many-body Bell correlations.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Since John Bell formulated his paramount inequality for a pair of spin-$1/2$
particles, quantum mechanics has been confronted with the postulates of local
realism with various equivalent configurations. Current technology, with its
advanced manipulation and detection methods, allows to extend the Bell tests to
more complex structures. The aim of this work is to analyze a set of Bell
inequalities suitable for a possibly broad family of many-body systems with the
focus on bosonic qubits. We develop a method that allows for a step-by-step
study of the many-body Bell correlations, for instance among atoms forming a
two-mode Bose-Einstein condensate or between photons obtained from the
parametric-down conversion. The presented approach is valid both for cases of
fixed and non-fixed number of particles, hence it allows for a thorough
analysis of quantum correlations in a variety of many-body systems.
Related papers
- Proposal for a Bell Test with Entangled Atoms of Different Mass [0.0]
We propose an experimental scheme for performing a Bell test using momentum-entangled pairs of atoms with different masses.
We use the metastable isotopes of helium 3He* and 4He* for their single-atom detection capabilities.
The entangled state is generated by colliding these species and manipulated via two independent atom interferometers.
arXiv Detail & Related papers (2024-11-13T06:00:01Z) - Efficiency of Dynamical Decoupling for (Almost) Any Spin-Boson Model [44.99833362998488]
We analytically study the dynamical decoupling of a two-level system coupled with a structured bosonic environment.
We find sufficient conditions under which dynamical decoupling works for such systems.
Our bounds reproduce the correct scaling in various relevant system parameters.
arXiv Detail & Related papers (2024-09-24T04:58:28Z) - Probing many-body Bell correlation depth with superconducting qubits [17.3215930037341]
We report an experimental certification of genuine multipartite Bell correlations, which signal nonlocality in quantum many-body systems.
In particular, we employ energy as a Bell correlation witness and variationally decrease the energy of a many-body system across a hierarchy of thresholds.
Our results establish a viable approach for preparing and certifying multipartite Bell correlations, which provide a finer benchmark beyond entanglement for quantum devices.
arXiv Detail & Related papers (2024-06-25T18:00:00Z) - Deriving three-outcome permutationally invariant Bell inequalities [0.0]
We present strategies to derive Bell inequalities valid for systems composed of many three-level parties.
Our work can have interesting applications in the detection of Bell correlations in paradigmatic spin-1 models, as well as in experiments with solid-state systems or atomic ensembles.
arXiv Detail & Related papers (2024-06-17T17:41:27Z) - Quantum vibrational mode in a cavity confining a massless spinor field [91.3755431537592]
We analyse the reaction of a massless (1+1)-dimensional spinor field to the harmonic motion of one cavity wall.
We demonstrate that the system is able to convert bosons into fermion pairs at the lowest perturbative order.
arXiv Detail & Related papers (2022-09-12T08:21:12Z) - Entanglement catalysis for quantum states and noisy channels [41.94295877935867]
We investigate properties of entanglement and its role for quantum communication.
For transformations between bipartite pure states, we prove the existence of a universal catalyst.
We further develop methods to estimate the number of singlets which can be established via a noisy quantum channel.
arXiv Detail & Related papers (2022-02-10T18:36:25Z) - Exact $k$-body representation of the Jaynes-Cummings interaction in the
dressed basis: Insight into many-body phenomena with light [0.0]
We present a non-perturbative procedure for transforming the JC Hamiltonian into a dressed operator representation.
This work is intended to serve as a clear mathematical exposition of bosonic many-body interactions underlying JC-type systems.
arXiv Detail & Related papers (2021-03-12T23:21:12Z) - Entanglement in bipartite quantum systems: Euclidean volume ratios and
detectability by Bell inequalities [0.0]
Euclidean volume ratios between quantum states with positive partial transpose and all quantum states in bipartite systems are investigated.
A new numerical approach is developed to explore the typicality of entanglement and of its detectability by Bell inequalities.
It is investigated quantitatively to which extent a combined test of both Bell inequalities can increase the detectability of entanglement beyond what is achievable by each of these inequalities separately.
arXiv Detail & Related papers (2021-01-30T21:19:37Z) - Bose-Einstein condensate soliton qubit states for metrological
applications [58.720142291102135]
We propose novel quantum metrology applications with two soliton qubit states.
Phase space analysis, in terms of population imbalance - phase difference variables, is also performed to demonstrate macroscopic quantum self-trapping regimes.
arXiv Detail & Related papers (2020-11-26T09:05:06Z) - Einselection from incompatible decoherence channels [62.997667081978825]
We analyze an open quantum dynamics inspired by CQED experiments with two non-commuting Lindblad operators.
We show that Fock states remain the most robust states to decoherence up to a critical coupling.
arXiv Detail & Related papers (2020-01-29T14:15:19Z)
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.