Finitely many worlds with finite information flow and Bell theorem

• URL: http://arxiv.org/abs/2502.13807v1
• Date: Wed, 19 Feb 2025 15:19:08 GMT
• Title: Finitely many worlds with finite information flow and Bell theorem
• Authors: Alberto Montina, Stefan Wolf,
• Abstract summary: We introduce a simple psi-epistemic, many-worlds, local model of projective measurements on two spatially separate maximally entangled qubits. Because of its randomness, the model requires only two branches and a finite information flow.
• Score: 0.9208007322096533
• License:
• Abstract: The Copenhagen interpretation of quantum theory does not provide a measurement-independent description of physical processes. Two competing approaches to this issue are single-world ontological theories and Everett many-worlds theory. The former addresses the measurement problem by introducing auxiliary random variables that specify, in particular, the actual values of macroscopic observables. Such models may be psi-epistemic, meaning the quantum state is not part of the ontology. However, all the ontological models break the principle of locality, as demonstrated by Bell's theorem. The latter approach, which is deterministic and psi-ontic, offers the advantage of evading Bell's theorem by delaying the buildup of the correlations until the parties compare their outcomes at a meeting point. Because of determinism and the ontic nature of the quantum state, the number of parallel worlds and the information flow towards the meeting point turn out to be infinite. By integrating the strengths of the two approaches, we introduce a simple psi-epistemic, many-worlds, local model of projective measurements on two spatially separate maximally entangled qubits. Because of its randomness, the model requires only two branches and a finite information flow -- just one bit per measurement is communicated to the meeting point. We explore how this hybrid approach, employing both randomness and branching, addresses key challenges of each individual framework.

Related papers

• Optimal discrimination of quantum sequences [13.39567116041819]
  Key concept of quantum information theory is that accessing information encoded in a quantum system requires us to discriminate between several possible states the system could be in. In this paper, we prove that if the members of a given sequence are drawn secretly and independently from an ensemble or even from different ensembles, the optimum success probability is achievable by fixed local measurements on the individual members of the sequence.
  arXiv  Detail & Related papers  (2024-09-13T10:48:16Z)
• Quantum Chaos on Edge [36.136619420474766]
  We identify two different classes: the near edge physics of sparse'' and the near edge of dense'' chaotic systems. The distinction lies in the ratio between the number of a system's random parameters and its Hilbert space dimension. While the two families share identical spectral correlations at energy scales comparable to the level spacing, the density of states and its fluctuations near the edge are different.
  arXiv  Detail & Related papers  (2024-03-20T11:31:51Z)
• Distributed Partial Quantum Consensus of Qubit Networks with Connected Topologies [13.978557505365604]
  Two partial quantum consensus protocols, based on the Lyapunov method for chain graphs and the geometry method for connected graphs, are proposed. The numerical simulation over a qubit network is demonstrated to verify the validity and the effectiveness of the theoretical results.
  arXiv  Detail & Related papers  (2024-02-22T03:44:45Z)
• Analytical approximations for generalized quantum Rabi models [7.708919339137053]
  The quantum Rabi model serves as the simplest non-integrable yet solvable model describing the interaction between a two-level system and a single mode of a bosonic field. We show that the energy spectrum of the generalized quantum Rabi model can be analytically determined by a bi-confluent Fuchsian equation.
  arXiv  Detail & Related papers  (2024-01-11T01:42:17Z)
• Signatures of dissipative quantum chaos [0.0]
  This thesis lays out a generic framework for the study of the universal properties of realistic, chaotic, and dissipative quantum systems. It provides the concrete building blocks of dynamical dissipative evolution constrained by symmetry.
  arXiv  Detail & Related papers  (2023-11-02T18:08:48Z)
• A Quantum Theory with Non-collapsing Measurements [0.0]
  A collapse-free version of quantum theory is introduced to study the role of the projection postulate. We assume "passive" measurements that do not update quantum states while measurement outcomes still occur probabilistically. The resulting quantum-like theory has only one type of dynamics, namely unitary evolution.
  arXiv  Detail & Related papers  (2023-03-23T16:32:29Z)
• Absence of Correlations in Dissipative Interacting Qubits: a No-Go Theorem [3.214635763343888]
  We study a system of dissipative qubits with the Heisenberg interaction. We obtain, for qubits under a certain condition, an exact steady state solution to the Lindblad master equation.
  arXiv  Detail & Related papers  (2023-02-02T09:53:01Z)
• Events in quantum mechanics are maximally non-absolute [0.9176056742068814]
  We prove that quantum correlations can be maximally non-absolute according to both quantifiers. We show that chained Bell inequalities (and relaxations thereof) are also valid constraints for Wigner's experiment.
  arXiv  Detail & Related papers  (2021-12-19T21:15:16Z)
• Stochastic approximate state conversion for entanglement and general quantum resource theories [41.94295877935867]
  An important problem in any quantum resource theory is to determine how quantum states can be converted into each other. Very few results have been presented on the intermediate regime between probabilistic and approximate transformations. We show that these bounds imply an upper bound on the rates for various classes of states under probabilistic transformations. We also show that the deterministic version of the single copy bounds can be applied for drawing limitations on the manipulation of quantum channels.
  arXiv  Detail & Related papers  (2021-11-24T17:29:43Z)
• Quantum coherence with incomplete set of pointers and corresponding wave-particle duality [0.0]
  Quantum coherence quantifies the amount of superposition in a quantum system. We develop the corresponding resource theory, identifying the free states and operations. We obtain a complementarity relation between the so-defined quantum coherence and the which-path information in an interferometric set-up.
  arXiv  Detail & Related papers  (2021-08-12T16:55:40Z)
• Observers of quantum systems cannot agree to disagree [55.41644538483948]
  We ask whether agreement between observers can serve as a physical principle that must hold for any theory of the world. We construct examples of (postquantum) no-signaling boxes where observers can agree to disagree.
  arXiv  Detail & Related papers  (2021-02-17T19:00:04Z)

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.