A local, many-worlds, model of quantum correlations with finite information flow

• URL: http://arxiv.org/abs/2502.13807v2
• Date: Wed, 26 Feb 2025 10:59:10 GMT
• Title: A local, many-worlds, model of quantum correlations with finite information flow
• Authors: Alberto Montina, Stefan Wolf,
• Abstract summary: We introduce a simple psi-epistemic local model of projective measurements on two spatially separate maximally entangled qubits.<n>Because of its randomness, the model requires two "equally weighted" branches and a finite information flow.<n>We explore how this hybrid approach, employing both randomness and branching, addresses key challenges of single-world and Deutsch-Hayden theories.
• Score: 0.9208007322096533
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Ontological theories, such as the de Broglie-Bohm theory, address 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. A serious issue of this route toward a realistic completion of quantum theory is raised by Bell's proof that ontological theories are nonlocal. A possible resolution is to reject the assumption that measurements have single actual outcomes. Indeed, relaxing this premise, Deutsch and Hayden showed that Bell's theorem can be evaded by delaying the buildup of the correlations until the parties compare their outcomes at a meeting point. However, the Deutsch-Hayden theory, which is determinist and psi-ontic, leads to an infinite information flow towards the meeting point. Furthermore, alternative branches are weighted by amplitudes, leading to interpretative issues. By integrating the randomness of single-world theories and the branching of the Deutsch-Hayden theory, we introduce a simple psi-epistemic local model of projective measurements on two spatially separate maximally entangled qubits. Because of its randomness, the model requires two "equally weighted" 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 single-world and Deutsch-Hayden theories. On one hand, the branching allows us to circumvent nonlocality and, possibly, contextuality. On the other hand, randomness makes it more natural and economical to derive quantum probabilities from unweighted counts of branches and ensemble averages. Furthermore, it allows for a reduction of the information flow by stripping the quantum state of its `ontic' rank.

Related papers

• Theory of the correlated quantum Zeno effect in a monitored qubit dimer [41.94295877935867]
  We show how the competition between two measurement processes give rise to two distinct Quantum Zeno (QZ) regimes. We develop a theory based on a Gutzwiller ansatz for the wavefunction that is able to capture the structure of the Hilbert phase diagram. We show how the two QZ regimes are intimately connected to the topology of the flow of the underlying non-Hermitian Hamiltonian governing the no-click evolution.
  arXiv  Detail & Related papers  (2025-03-28T19:44:48Z)
• Crypto-nonlocality in arbitrarily dimensional systems [1.433758865948252]
  Bell's theorem states that any model based on local variables cannot reproduce certain quantum correlations. We develop a framework for constructing experimentally testable Leggett-type inequalities for arbitrary dimensions.
  arXiv  Detail & Related papers  (2025-01-06T16:31:25Z)
• 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.<n>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)
• Minimal operational theories: classical theories with quantum features [41.94295877935867]
  We introduce a class of probabilistic theories, where system dynamics are constrained to the minimal set of operations. Specifically, the allowed instruments are limited to those derived from compositions of preparations, measurements, swap transformations, and conditional tests. We demonstrate that minimal theories with conditioning and a spanning set of non-separable states satisfy two quantum no-go theorems.
  arXiv  Detail & Related papers  (2024-08-02T16:24:09Z)
• New Prospects for a Causally Local Formulation of Quantum Theory [0.0]
  This paper introduces a new principle of causal locality intended to improve on Bell's criteria. It shows that systems that remain at spacelike separation cannot exert causal influences on each other.
  arXiv  Detail & Related papers  (2024-02-26T18:19:51Z)
• 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)
• Normal quantum channels and Markovian correlated two-qubit quantum errors [77.34726150561087]
  We study general normally'' distributed random unitary transformations. On the one hand, a normal distribution induces a unital quantum channel. On the other hand, the diffusive random walk defines a unital quantum process.
  arXiv  Detail & Related papers  (2023-07-25T15:33:28Z)
• Connecting classical finite exchangeability to quantum theory [45.76759085727843]
  Exchangeability is a fundamental concept in probability theory and statistics. It allows to model situations where the order of observations does not matter. It is well known that both theorems do not hold for finitely exchangeable sequences.
  arXiv  Detail & Related papers  (2023-06-06T17:15:19Z)
• High-dimensional monitoring and the emergence of realism via multiple observers [41.94295877935867]
  Correlation is the basic mechanism of every measurement model.<n>We introduce a model that interpolates between weak and strong non-selective measurements for qudits.
  arXiv  Detail & Related papers  (2023-05-13T13:42:19Z)
• Bell inequalities with overlapping measurements [52.81011822909395]
  We study Bell inequalities where measurements of different parties can have overlap. This allows to accommodate problems in quantum information. The scenarios considered show an interesting behaviour with respect to Hilbert space dimension, overlap, and symmetry.
  arXiv  Detail & Related papers  (2023-03-03T18:11:05Z)
• 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)
• Simultaneous All-versus-Nothing Refutation of Local Realism and Noncontextuality by a Single System [1.1470070927586018]
  Quantum realms of nonlocality and contextuality are delineated by Bell's theorem and the Kochen-Specker theorem. In this study, we unveil a all-versus-nothing" proof that concurrently illustrates the veracity of these two seminal theorems. Our proof not only substantiates the conflict between quantum mechanics and hidden-variable theories from another perspective, but can also be readily verifiable utilizing the existing linear optics technology.
  arXiv  Detail & Related papers  (2022-08-24T14:47:02Z)
• Branch-counting in the Everett Interpretation of quantum mechanics [0.0]
  Well-known branch-counting rule, for realistic models of measurements, fails this test. New rule hinges on the use of decoherence theory in defining branching structure.
  arXiv  Detail & Related papers  (2022-01-16T16:50:07Z)
• 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)
• A strong no-go theorem on the Wigner's friend paradox [0.0]
  We prove that if quantum evolution is controllable on the scale of an observer, then one of 'No-Superdeterminism', 'Locality' or 'Absoluteness of Observed Events' must be false. We show that although the violation of Bell-type inequalities in such scenarios is not in general sufficient to demonstrate the contradiction between those three assumptions, new inequalities can be derived in a theory-independent manner.
  arXiv  Detail & Related papers  (2019-07-12T08:09:44Z)
• Symmetric Informationally Complete Measurements Identify the Irreducible Difference between Classical and Quantum Systems [0.0]
  We describe a general procedure for associating a minimal informationally-complete quantum measurement (or MIC) with a set of linearly independent post-measurement quantum states. We prove that the representation of the Born Rule obtained from a symmetric informationally-complete measurement (or SIC) minimizes this distinction in at least two senses.
  arXiv  Detail & Related papers  (2018-05-22T16:27:27Z)

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.