The Relational Dissolution of the Quantum Measurement Problems

• URL: http://arxiv.org/abs/2211.08465v1
• Date: Tue, 15 Nov 2022 19:33:59 GMT
• Title: The Relational Dissolution of the Quantum Measurement Problems
• Authors: Andrea Oldofredi
• Abstract summary: The Quantum Measurement Problem is arguably one of the most debated issues in the philosophy of Quantum Mechanics. It represents not only a technical difficulty for the standard formulation of the theory, but also a source of interpretational disputes concerning the meaning of the quantum postulates.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The Quantum Measurement Problem is arguably one of the most debated issues in the philosophy of Quantum Mechanics, since it represents not only a technical difficulty for the standard formulation of the theory, but also a source of interpretational disputes concerning the meaning of the quantum postulates. Another conundrum intimately connected with the QMP is the Wigner friend paradox, a thought experiment underlining the incoherence between the two dynamical laws governing the behavior of quantum systems, i.e the Schr\"odinger equation and the projection rule. Thus, every alternative interpretation aiming to be considered a sound formulation of QM must provide an explanation to these puzzles associated with quantum measurements. It is the aim of the present essay to discuss them in the context of Relational Quantum Mechanics. In fact, it is shown here how this interpretative framework dissolves the QMP. More precisely, two variants of this issue are considered: on the one hand, I focus on the "the problem of outcomes" contained in Maudlin (1995) - in which the projection postulate is not mentioned - on the other hand, I take into account Rovelli's reformulation of this problem proposed in Rovelli (2022), where the tension between the Schr\"odinger equation and the stochastic nature of the collapse rule is explicitly considered. Moreover, the relational explanation to the Wigner's friend paradox is reviewed, taking also into account some interesting objections contra Rovelli's theory contained in Laudisa (2019). I contend that answering these critical remarks leads to an improvement of our understanding of RQM. Finally, a possible objection against the relational solution to the QMP is presented and addressed.

Related papers

• Generalized Quantum Stein's Lemma and Second Law of Quantum Resource Theories [47.02222405817297]
  A fundamental question in quantum information theory is whether an analogous second law can be formulated to characterize the convertibility of resources for quantum information processing by a single function. In 2008, a promising formulation was proposed, linking resource convertibility to the optimal performance of a variant of the quantum version of hypothesis testing. In 2023, a logical gap was found in the original proof of this lemma, casting doubt on the possibility of such a formulation of the second law.
  arXiv  Detail & Related papers  (2024-08-05T18:00:00Z)
• Relational Quantum Mechanics is Still Incompatible with Quantum Mechanics [0.0]
  We show that a central concept in Quantum Mechanics, are inconsistent with Quantum Mechanics. Our work has been criticized by Cavalcanti, Di Biagio, Rovelli (CDR)
  arXiv  Detail & Related papers  (2023-10-27T09:34:17Z)
• Logic meets Wigner's Friend (and their Friends) [49.1574468325115]
  We take a fresh look at Wigner's Friend thought-experiment and some of its more recent variants and extensions. We discuss various solutions proposed in the literature, focusing on a few questions.
  arXiv  Detail & Related papers  (2023-07-04T13:31:56Z)
• Quantum dissipation and the virial theorem [22.1682776279474]
  We study the celebrated virial theorem for dissipative systems, both classical and quantum. The non-Markovian nature of the quantum noise leads to novel bath-induced terms in the virial theorem. We also consider the case of an electrical circuit with thermal noise and analyze the role of non-Markovian noise in the context of the virial theorem.
  arXiv  Detail & Related papers  (2023-02-23T13:28:11Z)
• A contextually objective approach to the extended Wigner's friend thought experiment [0.0]
  We show that no contradiction arises if one admits that agents must agree on what is considered as a system and what is not. In such a contextually objective approach of quantum mechanics, the apparent contradiction is automatically removed.
  arXiv  Detail & Related papers  (2023-01-08T10:58:02Z)
• Fact-nets: towards a mathematical framework for relational quantum mechanics [0.0]
  The relational interpretation of quantum mechanics (RQM) has received a growing interest since its first formulation in 1996. This paper proposes a radical reformulation of the mathematical framework of quantum mechanics which is relational from the start: fact-nets.
  arXiv  Detail & Related papers  (2022-04-01T10:27:38Z)
• Genuine multipartite entanglement and quantum coherence in an electron-positron system: Relativistic covariance [117.44028458220427]
  We analyze the behavior of both genuine multipartite entanglement and quantum coherence under Lorentz boosts. A given combination of these quantum resources is shown to form a Lorentz invariant.
  arXiv  Detail & Related papers  (2021-11-26T17:22:59Z)
• Quantum Causal Inference in the Presence of Hidden Common Causes: an Entropic Approach [34.77250498401055]
  We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles. We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links. This approach can lay the foundations of identifying originators of malicious activity on future multi-node quantum networks.
  arXiv  Detail & Related papers  (2021-04-24T22:45:50Z)
• A Quantum G\"odelian Hunch [0.0]
  This essay aims at arguing for such G"odelian hunch via two case studies. The theological motivational origin of quantum contextuality is introduced in order to show how this result might be related to a Liar-like undecidability. A personal analysis of the related Wigner's friend thought experiment and and a recent paradox by Frauchiger and Renner is presented.
  arXiv  Detail & Related papers  (2020-05-07T11:22:20Z)
• The (Quantum) Measurement Problem in Classical Mechanics [0.0]
  We show why this is not an "obvious" nor "self evident" problem for the theory of quanta. We discuss a representational realist account of both physical 'theories' and'measurement' We show how through these same set of presuppositions it is easy to derive a completely analogous paradox for the case of classical mechanics.
  arXiv  Detail & Related papers  (2020-01-01T17:07:03Z)
• Quantum-like modeling of the order effect in decision making: POVM viewpoint on the Wang-Busemeyer QQ-equality [77.34726150561087]
  Wang and Busemeyer invented a quantum model and approach as well as non-parametric equality (so-called QQ-equality) This note is to test the possibility to expand the Wang-Busemeyer model by considering questions which are mathematically represented by positive operator valued measures. But, we also showed that, in principle, it is possible to reduce expanded model to the original Wang-Busemeyer model by expanding the context of the questions.
  arXiv  Detail & Related papers  (2018-10-31T18:11:37Z)

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.