Bell's and Mermin's inequalities, entangled coherent states and unitary operators

• URL: http://arxiv.org/abs/2405.05191v1
• Date: Wed, 8 May 2024 16:30:37 GMT
• Title: Bell's and Mermin's inequalities, entangled coherent states and unitary operators
• Authors: Silvio Paolo Sorella,
• Abstract summary: The Bell and Mermin inequalities for entangled coherent states are scrutinized by making use of the unitary displacement operators. A violation of the Mermin inequality close to the maximum allowed value is reported.
• Score: 0.5439020425819
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We elaborate on the recent proposal of employing unitary operators in Quantum Mechanics. The Bell and Mermin inequalities for entangled coherent states are scrutinized by making use of the unitary displacement operators. A violation of the Mermin inequality close to the maximum allowed value is reported, in agreement with the existing literature.

Related papers

• 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)
• 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)
• Embezzling entanglement from quantum fields [41.94295877935867]
  Embezzlement of entanglement refers to the counterintuitive possibility of extracting entangled quantum states from a reference state of an auxiliary system. We uncover a deep connection between the operational task of embezzling entanglement and the mathematical classification of von Neumann algebras.
  arXiv  Detail & Related papers  (2024-01-14T13:58:32Z)
• Using Weyl operators to study Mermin's inequalities in Quantum Field Theory [0.0]
  We use the Tomita-Takesaki modular theory to compute the vacuum expectation value of the Mermin operator. We are able to demonstrate that Mermin's inequalities are violated when examined within the vacuum state of a scalar field theory.
  arXiv  Detail & Related papers  (2023-12-12T01:00:13Z)
• Probing Mermin's inequalities violations through pseudospin operators [0.0]
  The violation of Mermin's inequalities is analyzed by making use of two different Bell setups built with pseudospin. We identify the parameters leading to the violation of Mermin's inequalities and to the saturation of the bound predicted by Quantum Mechanics.
  arXiv  Detail & Related papers  (2023-06-13T12:50:18Z)
• Mermin's inequalities in Quantum Field Theory [0.46040036610482665]
  We introduce unitary operators which create, out of the Minkowski vacuum $| 0 rangle$, GHZ-type states. We show that Mermin's inequalities turn out to be maximally violated when evaluated on these states.
  arXiv  Detail & Related papers  (2023-03-21T20:56:58Z)
• A Quantum Optimal Control Problem with State Constrained Preserving Coherence [68.8204255655161]
  We consider a three-level $Lambda$-type atom subjected to Markovian decoherence characterized by non-unital decoherence channels. We formulate the quantum optimal control problem with state constraints where the decoherence level remains within a pre-defined bound.
  arXiv  Detail & Related papers  (2022-03-24T21:31:34Z)
• A Partially Random Trotter Algorithm for Quantum Hamiltonian Simulations [31.761854762513337]
  Given the Hamiltonian, the evaluation of unitary operators has been at the heart of many quantum algorithms. Motivated by existing deterministic and random methods, we present a hybrid approach.
  arXiv  Detail & Related papers  (2021-09-16T13:53:12Z)
• Quantum Discrimination of Two Noisy Displaced Number States [68.2727599930504]
  We first consider the quantum discrimination of two noiseless displaced number states. We then address the problem of discriminating between two noisy displaced number states.
  arXiv  Detail & Related papers  (2020-12-09T16:56:16Z)
• Revisiting the experimental test of Mermin's inequalities at IBMQ [0.0]
  We show the violation of Mermin's inequalities in IBM's five-qubit quantum computers. Our numerical results show significant improvement with respect to previous implementations.
  arXiv  Detail & Related papers  (2020-05-22T16:58:57Z)
• Fermionic state discrimination by local operations and classical communication [68.8204255655161]
  Local operations and classical communication (LOCC) discrimination between two bipartite pure states of fermionic systems is studied. We show that, contrary to the case of quantum systems, for fermionic systems it is generally not possible to achieve the ideal state discrimination performances.
  arXiv  Detail & Related papers  (2020-02-24T12:25:36Z)

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.