Nature cannot be described by any causal theory with a finite number of measurements

• URL: http://arxiv.org/abs/2408.08347v1
• Date: Thu, 15 Aug 2024 18:00:00 GMT
• Title: Nature cannot be described by any causal theory with a finite number of measurements
• Authors: Lucas Tendick,
• Abstract summary: We show that there exists quantum correlations obtained from performing $n$ dichotomic quantum measurements in a bipartite Bell scenario. That is, it requires any no-signaling theory an unbounded number of measurements to reproduce the predictions of quantum theory.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We show, for any $n \geq 2$, that there exists quantum correlations obtained from performing $n$ dichotomic quantum measurements in a bipartite Bell scenario, which cannot be reproduced by $n-1$ measurements in any causal theory. That is, it requires any no-signaling theory an unbounded number of measurements to reproduce the predictions of quantum theory. We prove our results by showing that there exists Bell inequalities that have to be obeyed by any no-signaling theory involving only $n-1$ measurements and show explicitly how these can be violated in quantum theory. Finally, we discuss the relation of our work to previous works ruling out alternatives to quantum theory with some kind of bounded degree of freedom and consider the experimental verifiability of our results.

Related papers

• The composition rule for quantum systems is not the only possible one [0.0]
  We argue that the composition postulate deserves to be experimentally scrutinised independently of the other features of quantum theory. We formulate a family of operational theories that are solely distinguished from quantum theory by their system-composition rule.
  arXiv  Detail & Related papers  (2024-11-24T19:31:13Z)
• Non-Heisenbergian quantum mechanics [0.0]
  Relaxing the postulates of an axiomatic theory is a natural way to find more general theories. Here, we use this way to extend quantum mechanics by ignoring the heart of Heisenberg's quantum mechanics. Perhaps surprisingly, this non-Heisenberg quantum theory, without a priori assumption of the non-commutation relation, leads to a modified Heisenberg uncertainty relation.
  arXiv  Detail & Related papers  (2024-02-17T18:00:07Z)
• 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)
• Relative Facts of Relational Quantum Mechanics are Incompatible with Quantum Mechanics [0.0]
  RQM measurement arise from interactions which entangle a system $$S and an observer $A$ without decoherence. The criterion states that whenever an interpretation introduces a notion of outcomes, these outcomes must follow the probability distribution specified by the Born rule.
  arXiv  Detail & Related papers  (2022-08-24T23:15:00Z)
• Experimental demonstration of optimal unambiguous two-out-of-four quantum state elimination [52.77024349608834]
  A core principle of quantum theory is that non-orthogonal quantum states cannot be perfectly distinguished with single-shot measurements. Here we implement a quantum state elimination measurement which unambiguously rules out two of four pure, non-orthogonal quantum states.
  arXiv  Detail & Related papers  (2022-06-30T18:00:01Z)
• Incompatibility of observables, channels and instruments in information theories [68.8204255655161]
  We study the notion of compatibility for tests of an operational probabilistic theory. We show that a theory admits of incompatible tests if and only if some information cannot be extracted without disturbance.
  arXiv  Detail & Related papers  (2022-04-17T08:44:29Z)
• Gentle Measurement as a Principle of Quantum Theory [9.137554315375919]
  We propose the gentle measurement principle (GMP) as one of the principles at the foundation of quantum mechanics. We show, within the framework of general probabilistic theories, that GMP imposes strong restrictions on the law of physics.
  arXiv  Detail & Related papers  (2021-03-28T11:59:49Z)
• $\PT$ Symmetry and Renormalisation in Quantum Field Theory [62.997667081978825]
  Quantum systems governed by non-Hermitian Hamiltonians with $PT$ symmetry are special in having real energy eigenvalues bounded below and unitary time evolution. We show how $PT$ symmetry may allow interpretations that evade ghosts and instabilities present in an interpretation of the theory within a Hermitian framework.
  arXiv  Detail & Related papers  (2021-03-27T09:46:36Z)
• 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)
• Quantum Mechanical description of Bell's experiment assumes Locality [91.3755431537592]
  Bell's experiment description assumes the (Quantum Mechanics-language equivalent of the classical) condition of Locality. This result is complementary to a recently published one demonstrating that non-Locality is necessary to describe said experiment. It is concluded that, within the framework of Quantum Mechanics, there is absolutely no reason to believe in the existence of non-Local effects.
  arXiv  Detail & Related papers  (2020-02-27T15:04:08Z)
• 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.