Bell-CHSH inequality and unitary operators

• URL: http://arxiv.org/abs/2403.15276v3
• Date: Sat, 12 Oct 2024 18:05:50 GMT
• Title: Bell-CHSH inequality and unitary operators
• Authors: M. S. Guimaraes, I. Roditi, S. P. Sorella,
• Abstract summary: 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.
• Score: 0.0
• License:
• Abstract: Unitary operators are employed to investigate the violation of the Bell-CHSH inequality. The ensuing modifications affecting both classical and quantum bounds are elucidated. The relevance of a particular class of unitary operators whose expectation values are real is pointed out. For these operators, the classical and quantum bounds remain unaltered, being given, respectively, by $2$ and $2\sqrt{2}$. As an example, the Weyl unitary operators for a real scalar field in relativistic Quantum Field Theory are discussed.

Related papers

• 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)
• Numerical approach to the Bell-Clauser-Horne-Shimony-Holt inequality in quantum field theory [0.0]
  The Bell-CHSH inequality is expressed in terms of the Lorentz invariant inner products of test functions. Violations of the Bell-CHSH inequality are reported for different values of the particle mass parameter.
  arXiv  Detail & Related papers  (2024-06-28T16:24:24Z)
• Unruh-De Witt detectors, Bell-CHSH inequality and Tomita-Takesaki theory [0.0]
  The interaction between Unruh-De Witt spin $1/2$ detectors and a real scalar field is scrutinized. The use of the modular theory enables to evaluate in an exact way the trace over the quantum field degrees of freedom.
  arXiv  Detail & Related papers  (2024-01-06T22:01:33Z)
• 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)
• Locality and Exceptional Points in Pseudo-Hermitian Physics [0.0]
  Pseudo-Hermitian operators generalize the concept of Hermiticity. This thesis is devoted to the study of locality in quasi-Hermitian theory. Chiral symmetry and representation theory are used to derive large classes of pseudo-Hermitian operators.
  arXiv  Detail & Related papers  (2023-06-06T22:19:05Z)
• Remarks on the Clauser-Horne-Shimony-Holt inequality in relativistic quantum field theory [0.0]
  We present an investigation of the $CHSH$ inequality within a relativistic quantum field theory model. A $CHSH$ type correlator is constructed and evaluated in the Fock vacuum by means of the canonical quantization. The model can be employed for the study of Bell's inequalities in the more physical case of gauge theories.
  arXiv  Detail & Related papers  (2022-10-28T19:15:57Z)
• Self-adjoint extension schemes and modern applications to quantum Hamiltonians [55.2480439325792]
  monograph contains revised and enlarged materials from previous lecture notes of undergraduate and graduate courses and seminars delivered by both authors over the last years on a subject that is central both in abstract operator theory and in applications to quantum mechanics. A number of models are discussed, which are receiving today new or renewed interest in mathematical physics, in particular from the point of view of realising certain operators of interests self-adjointly.
  arXiv  Detail & Related papers  (2022-01-25T09:45:16Z)
• Experimental violations of Leggett-Garg's inequalities on a quantum computer [77.34726150561087]
  We experimentally observe the violations of Leggett-Garg-Bell's inequalities on single and multi-qubit systems. Our analysis highlights the limits of nowadays quantum platforms, showing that the above-mentioned correlation functions deviate from theoretical prediction as the number of qubits and the depth of the circuit grow.
  arXiv  Detail & Related papers  (2021-09-06T14:35:15Z)
• Quantum dynamics and relaxation in comb turbulent diffusion [91.3755431537592]
  Continuous time quantum walks in the form of quantum counterparts of turbulent diffusion in comb geometry are considered. Operators of the form $hatcal H=hatA+ihatB$ are described. Rigorous analytical analysis is performed for both wave and Green's functions.
  arXiv  Detail & Related papers  (2020-10-13T15:50:49Z)
• Sub-bosonic (deformed) ladder operators [62.997667081978825]
  We present a class of deformed creation and annihilation operators that originates from a rigorous notion of fuzziness. This leads to deformed, sub-bosonic commutation relations inducing a simple algebraic structure with modified eigenenergies and Fock states. In addition, we investigate possible consequences of the introduced formalism in quantum field theories, as for instance, deviations from linearity in the dispersion relation for free quasibosons.
  arXiv  Detail & Related papers  (2020-09-10T20:53:58Z)
• Bell's theorem for trajectories [62.997667081978825]
  A trajectory is not an outcome of a quantum measurement, in the sense that there is no observable associated with it. We show how to overcome this problem by considering a special case of our generic inequality that can be experimentally tested point-by-point in time.
  arXiv  Detail & Related papers  (2020-01-03T01:40:44Z)

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.