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

• URL: http://arxiv.org/abs/2501.03960v2
• Date: Wed, 08 Jan 2025 10:15:18 GMT
• Title: Entangled Schrödinger cat states, vacuum projector and Bell-CHSH inequality
• Authors: S. P. Sorella,
• Abstract summary: Hermitian dichotomic operators can be used to scrutinize the violation of the Bell-CHSH inequality for entangled coherent Schr"odinger cat states.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Use of the vacuum projector and of the unitary displacement operators enables us to construct Hermitian dichotomic operators. These operators are employed to scrutinize the violation of the Bell-CHSH inequality for entangled coherent Schr\"odinger cat states.

Related papers

• 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)
• 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)

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.