What are the bearers of hidden states? On an important ambiguity in the formulation of Bell's theorem

• URL: http://arxiv.org/abs/2501.17521v1
• Date: Wed, 29 Jan 2025 09:51:16 GMT
• Title: What are the bearers of hidden states? On an important ambiguity in the formulation of Bell's theorem
• Authors: Joanna Luc,
• Abstract summary: I argue that straightforward attempts to establish Bell's conclusion fail in both approaches. I propose a new way of establishing Bell's conclusion that combines intuitions underlying several previous approaches.
• Score: 0.0
• License:
• Abstract: Bell's conclusion from his famous inequality was that any hidden variable theory that satisfies Local Causality is incompatible with the predictions of Quantum Mechanics (QM) for Bell's Experiment. However, Local Causality does not appear in the derivation of Bell's inequality. Instead, two other assumptions are used, namely Factorizability and Settings Independence. Therefore, in order to establish Bell's conclusion, we need to relate these two assumptions to Local Causality. The prospects for doing so turn out to depend on the assumed location of the hidden states that appear in Bell's inequality. In this paper, I consider the following two views on such states: (1) that they are states of the two-particle system at the moment of preparation, and (2) that they are states of thick slices of the past light cones of measurements. I argue that straightforward attempts to establish Bell's conclusion fail in both approaches. Then, I consider three refined attempts, which I also criticise, and I propose a new way of establishing Bell's conclusion that combines intuitions underlying several previous approaches.

Related papers

• Time series and the meaning of quantum non-locality [55.2480439325792]
  The derivation of Bell's inequalities gives precise meaning to the idea of quantum non-locality. It also makes evident why using it for faster than light signaling is impossible. It is demonstrated that series of outcomes, even if they violate Bell's inequalities, can be always embedded in a set of factual and counter-factual data.
  arXiv  Detail & Related papers  (2024-10-21T14:49:47Z)
• Bell vs Bell: a ding-dong battle over quantum incompleteness [0.0]
  John Bell gave the first demonstration that quantum mechanics is incompatible with local hidden variables. This paper aims to bring clarity to the debate via simple examples and rigorous results.
  arXiv  Detail & Related papers  (2024-06-27T11:11:28Z)
• Effects of Topological Boundary Conditions on Bell Nonlocality [0.9374652839580183]
  Bell nonlocality is the resource that enables device-independent quantum information processing tasks. Our work can act as a guide to certify Bell nonlocality in many-qubit devices.
  arXiv  Detail & Related papers  (2024-05-23T13:58:50Z)
• Some consequences of Sica's approach to Bell's inequalities [55.2480439325792]
  Louis Sica derived Bell's inequalities from the hypothesis that the time series of outcomes observed in one station does not change if the setting in the other station is changed. In this paper, Sica's approach is extended to series with non ideal efficiency and to the actual time structure of experimental data.
  arXiv  Detail & Related papers  (2024-03-05T13:59:52Z)
• The distinctive symmetry of Bell states [65.268245109828]
  The Bell's basis is composed of four maximally entangled states of two qubits. The aim of this paper is to find out the symmetries that determine a Bell state.
  arXiv  Detail & Related papers  (2023-08-14T17:02:41Z)
• Entanglement quantification via nonlocality [1.3535770763481902]
  Nonlocality, manifested by the violation of Bell inequalities, indicates quantum entanglement in the underlying system. We quantify entanglement using a family of generalized Clauser-Horne-Shimony-Holt-type Bell inequalities.
  arXiv  Detail & Related papers  (2023-03-15T07:16:46Z)
• Is a spectrograph of hidden variables possible? [91.3755431537592]
  "Spectrograph's Realism", and "Locality", are proven to be different, and both necessary, hypotheses to derive Bell's inequalities.
  arXiv  Detail & Related papers  (2023-02-28T13:59:08Z)
• An Appropriate Probability Model for the Bell Experiment [0.0]
  The Bell inequality constrains the outcomes of measurements on pairs of distant entangled particles. The Bell contradiction states that the Bell inequality is inconsistent with the calculated outcomes of these quantum experiments. This paper proposes an appropriate probability model for the Bell experiment.
  arXiv  Detail & Related papers  (2023-02-10T11:08:23Z)
• Deterministic all-versus-nothing proofs of Bell nonlocality based on non-stabilizer states [0.0]
  The all-versus-nothing proof of Bell nonlocality is a mainstream demonstration of Bell's theorem without inequalities. This work presents some deterministic all-versus-nothing proofs induced from non-stabilizer states.
  arXiv  Detail & Related papers  (2022-01-06T01:54:03Z)
• 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)
• Using Randomness to decide among Locality, Realism and Ergodicity [91.3755431537592]
  An experiment is proposed to find out, or at least to get an indication about, which one is false. The results of such experiment would be important not only to the foundations of Quantum Mechanics.
  arXiv  Detail & Related papers  (2020-01-06T19:26:32Z)

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.