Related papers: Entangled Schrödinger cat states, vacuum projector and Bell-CHSH inequality

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Bell nonlocality from twisted statistics [39.146761527401424]
We investigate Bell correlations for a free real quantum scalar field on the noncommutative Moyal plane.<n>We show that suitable local mode measurements lead to a violation of the CHSH Bell inequality.
arXiv Detail & Related papers (2026-08-06T17:55:50Z)
Measurement-induced generation of Schrödinger cat states in cavity QED [12.958755972596371]
We propose a measurement-based protocol for generating Schrdinger cat states in a cavity-QED system.<n> Numerical simulations show that the generated Schrdinger cat states remain robust against moderate cavity dissipation.
arXiv Detail & Related papers (2026-08-05T08:08:59Z)
Stochastic Counterdiabatic Driving via Biorthogonal Liouvillian Eigenmodes [42.668742604089324]
Escorted free energy simulations address the non-adiabatic lag by engineering control fields $mathbfu$ that eliminate the lag.<n>We construct a complementary numerical framework based on gauge-type transforms instead of generalized coordinate transforms.<n>We show that the counterdiabatic condition is satisfied to machine precision, with the non-adiabatic lag suppressed by roughly twelve orders of magnitude.
arXiv Detail & Related papers (2026-07-27T13:08:14Z)
Modular Theory and the Bell-CHSH inequality in relativistic scalar Quantum Field Theory [0.0]
We argue that violations of the Bell-CHSH inequality might occur for different choices of Bell's operators.<n>We also outline a possible path towards the saturation of Tsirelson's bound.
arXiv Detail & Related papers (2026-03-26T19:59:52Z)
Shortcuts to adiabaticity, unexciting backgrounds, and reflectionless potentials [45.88028371034407]
We exploit the analogy with one-dimensional quantum mechanics, and the well known correspondence between Bogoliubov coefficients in the QHO and transmission/reflection amplitudes in scattering theory.<n>We show how STA completions can be understood in terms of the anti-squeezing operator.
arXiv Detail & Related papers (2026-01-16T13:02:37Z)
Cat states and violation of the Bell-CHSH inequality in relativistic Quantum Field Theory [0.0]
A cat state localized in the right Rindler wedge is employed to study the violation of the Bell-CHSH inequality in a relativistic scalar free Quantum Field Theory.<n>Being the superposition of two coherent states, cat states allow for the existence of interference terms which give rise to a violation of the Bell-CHSH inequality.
arXiv Detail & Related papers (2026-01-08T18:41:06Z)
Real-time collisions of fractional charges in a trapped-ion Jackiw-Rebbi field theory [39.146761527401424]
We study the effect of back-reaction and quantum fluctuations on the coupled dynamics of the full fermion-boson system.<n>Our results reveal how back-reaction and quantum fluctuations modify the stability and real-time evolution of fractionalized fermions.
arXiv Detail & Related papers (2025-12-08T17:34:53Z)
On a class of bounded Hermitian operators for the Bell-CHSH inequality in Quantum Field Theory [0.0]
The violation of the Bell-CHSH inequality in a relativistic scalar Quantum Field Theory is analysed.<n>A set of bounded Hermitian operators is constructed out of the unitary Weyl operators.<n>The case of causal tangent diamonds in $1+1$ Minkowski spacetime is scrutinized.
arXiv Detail & Related papers (2025-05-31T10:53:27Z)
Bell and Mermin inequalities in Quantum Field Theory from vacuum projectors and Weyl operators [0.0]
We construct a set of Hermitian dichotomic operators in relativistic Quantum Field Theory in Minkowski spacetime. Both Bell and Mermin inequalities are studied by means of a numerical setup.
arXiv Detail & Related papers (2025-01-06T18:04:09Z)
Preparation of high fidelity entangled cat states with composite pulses [17.64941769616527]
We propose a protocol for the preparation of high-fidelity entangled cat states with composite pulses. By properly designing the parameters, each Kerr-nonlinear resonator is confined in the cat-state subspace. We introduce composite two-photon drives with multiple amplitudes and to improve the fidelity of the entangled cat states.
arXiv Detail & Related papers (2024-08-01T11:17:35Z)
Gluing together Quantum Field Theory and Quantum Mechanics: a look at the Bell-CHSH inequality [0.0]
The Bell-CHSH inequality in the vacuum state of a relativistic scalar quantum field is revisited by making use of the Hilbert space $cal H otimes cal H_AB$. The construction of Hermitian, field-dependent, dichotomic operators is devised as well as the Bell-CHSH inequality.
arXiv Detail & Related papers (2024-07-19T19:14:00Z)
Gravitationally dominated instantons and instability of dS, AdS and Minkowski spaces [45.74830585715129]
We study the decay of the false vacuum in the regime where the quantum field theory analysis is not valid. This happens when the height of the barrier separating the false and the true vacuum is large. It has implications for the instability of de Sitter, Minkowski and anti-de Sitter vacua.
arXiv Detail & Related papers (2024-07-15T20:13:16Z)
The formation of Schrodinger cat-like states in the process of spontaneous parametric down-conversion [50.161078038675285]
We show the formation of Schrodinger catlike states (Ss) during the spontaneous parametric downconversion (SPDC) process. For the first time, we show the formation of Ss in the fundamental and second harmonic modes under nondissipative and dissipative regimes.
arXiv Detail & Related papers (2024-05-23T13:11:07Z)
Quantum simulation of the Fokker-Planck equation via Schrodingerization [33.76659022113328]
This paper studies a quantum simulation technique for solving the Fokker-Planck equation. We employ the Schrodingerization method-it converts any linear partial and ordinary differential equation with non-Hermitian dynamics into systems of Schrodinger-type equations.
arXiv Detail & Related papers (2024-04-21T08:53:27Z)
Bell-CHSH inequality and unitary operators [0.0]
Unitary operators are employed to investigate the violation of the Bell-CHSH inequality. The relevance of a particular class of unitary operators whose expectation values are real is pointed out.
arXiv Detail & Related papers (2024-03-22T15:17:31Z)
Weyl operators, Tomita-Takesaki theory, and Bell-Clauser-Horne-Shimony-Holt inequality violations [0.0]
The violation of the Bell-CHSH inequality is established by means of the Tomita-Takesaki construction and of the direct computation of the correlation functions of Weyl operators.
arXiv Detail & Related papers (2023-09-06T12:15:03Z)
The Schmidt rank for the commuting operator framework [58.720142291102135]
The Schmidt rank is a measure for the entanglement dimension of a pure bipartite state. We generalize the Schmidt rank to the commuting operator framework. We analyze bipartite states and compute the Schmidt rank in several examples.
arXiv Detail & Related papers (2023-07-21T14:37:33Z)
On the representations of Bell's operators in Quantum Mechanics [0.0]
We show that when the dimension of the Hilbert space is greater than two, Bell's operators exhibit unitarily inequivalent representations. The feature relies on a pairing mechanism between the modes of the Hilbert space of the system.
arXiv Detail & Related papers (2023-04-12T08:38:01Z)
Comments on the Bell-Clauser-Horne-Shimony-Holt inequality [0.0]
In Quantum Mechanics the entangled spin singlet states are thought as the vacuum states of suitable Hamiltonians. The Bell-CHSH inequality turns out to be parametrized by the Unruh temperature.
arXiv Detail & Related papers (2023-01-05T05:17:38Z)
Self-Adjointness of Toeplitz Operators on the Segal-Bargmann Space [62.997667081978825]
We prove a new criterion that guarantees self-adjointness of Toeplitz operator with unbounded operator-valued symbols. We extend the Berger-Coburn estimate to the case of vector-valued Segal-Bargmann spaces.
arXiv Detail & Related papers (2022-02-09T19:14:13Z)
Effect of Emitters on Quantum State Transfer in Coupled Cavity Arrays [48.06402199083057]
We study the effects of atoms in cavities which can absorb and emit photons as they propagate down the array. Our model is equivalent to previously examined spin chains in the one-excitation sector and in the absence of emitters.
arXiv Detail & Related papers (2021-12-10T18:52:07Z)
Class of Bell-Clauser-Horne inequalities for testing quantum nonlocality [11.367526341820643]
We propose methods for the rearrangement and linear inequality to prove a large variety of Bell-CH inequalities. We also derive a set of Bell-CH inequalities by using these methods which can be violated in some quantum entangled states.
arXiv Detail & Related papers (2021-01-07T08:25:21Z)
Non-Boolean Hidden Variables model reproduces Quantum Mechanics' predictions for Bell's experiment [91.3755431537592]
Theory aimed to violate Bell's inequalities must start by giving up Boolean logic. "Hard" problem is to predict the time values when single particles are detected. "Soft" problem is to explain the violation of Bell's inequalities within (non-Boolean) Local Realism.
arXiv Detail & Related papers (2020-05-20T21:46:35Z)
Escape from the Quantum Pigeon Conundrum [52.77024349608834]
The Pigeon Counting Principle (PCP) states that if one distributes three pigeons among two boxes there must be at least two pigeons in one of the boxes. Here we prove via a set of operator identities that the PCP is not violated within quantum mechanics, regardless of interpretation.
arXiv Detail & Related papers (2020-02-05T17:30:19Z)

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