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Recent extended formulations of the Wigner's friend thought experiment throw the measurement problem of quantum mechanics into sharper relief. Here I respond to an invitation by Renner to provide a consistent and concrete set of rules for…

Quantum Physics · Physics 2021-07-07 Joseph M. Renes

Measurements have historically presented a problem for the consistent description of quantum theories, be it in non-relativistic quantum mechanics or in quantum field theory. Drawing on a recent surge of interest in the description of…

Mathematical Physics · Physics 2024-03-01 Felipe Dilho Alves

A qualification is suggested for the counterfactual reasoning involved in some aspects of time-symmetric quantum theory (which involves ensembles selected by both the initial and final states). The qualification is that the counterfactual…

Quantum Physics · Physics 2007-05-23 D. J. Miller

In a previous paper, we have proposed assigning as the value of a physical quantity in quantum theory, a certain kind of set (a sieve) of quantities that are functions of the given quantity. The motivation was in part physical---such a…

Quantum Physics · Physics 2007-05-23 C. J. Isham , J. Butterfield

We suggest an interpretation of quantum mechanics, inspired by the ideas of Aharonov et al. of a time-symmetric description of quantum theory. We show that a special final boundary condition for the Universe, may be consistently defined as…

Quantum Physics · Physics 2007-05-23 Yakir Aharonov , Eyal Y. Gruss

We present a mathematical framework based on quantum interval-valued probability measures to study the effect of experimental imperfections and finite precision measurements on defining aspects of quantum mechanics such as contextuality and…

Quantum Physics · Physics 2018-05-30 Yu-Tsung Tai , Andrew J. Hanson , Gerardo Ortiz , Amr Sabry

A conceptual replication of the Hall-experiment to test the 'subjective reduction' interpretation of the measurement problem in Quantum Physics is reported. Two improvements are introduced. First the delay between pre-observation and final…

General Physics · Physics 2007-05-23 Dick J. Bierman

In this letter, by regarding finite-time stability as an inverse problem, we reveal the essence of finite-time stability and fixed-time stability. Some necessary and sufficient conditions are given. As application, we give a new approach…

Adaptation and Self-Organizing Systems · Physics 2016-02-19 Wenlian Lu , Xiwei Liu , Tianping Chen

In the paper, a value assignment for projection operators relating to a quantum system is equated with assignment of truth-values to the propositions associated with these operators. In consequence, the Kochen-Specker theorem (its localized…

Quantum Physics · Physics 2018-07-31 Arkady Bolotin

In the present paper we will give some new notions, such as {\Delta}-convergence and {\Delta}-Cauchy, by using the {\Delta}-density and investigate their relations. It is important to say that, the results presented in this work generalize…

Classical Analysis and ODEs · Mathematics 2011-09-22 M. Seyyit Seyyidoglu , N. Özkan Tan

Recently, several authors have criticized the time-symmetrized quantum theory originated by the work of Aharonov et al. (1964). The core of this criticism was a proof, appearing in various forms, which showed that the counterfactual…

Quantum Physics · Physics 2007-05-23 L. Vaidman

We extend the topos-theoretic treatment given in previous papers of assigning values to quantities in quantum theory. In those papers, the main idea was to assign a sieve as a partial and contextual truth value to a proposition that the…

Quantum Physics · Physics 2007-05-23 J. Butterfield , C. J. Isham

This paper makes the simple observation that a fundamental length, or cutoff, in the context of Friedmann-Lema\^itre-Robertson-Walker (FRW) cosmology implies very different things than for a static universe. It is argued that it is…

Cosmology and Nongalactic Astrophysics · Physics 2011-01-13 Marvin Weinstein

In this short note I reply to criticisms of an argument in my paper [1] that appear in comment [2]. I refer the reader to section 4 of [1] in which I described the scenario of a Gedankenexperiment on which is based the argument criticized…

Quantum Physics · Physics 2019-09-04 Richard Healey

Only finite precision measurements are experimentally reasonable, and they cannot distinguish a dense subset from its closure. We show that the rational vectors, which are dense in S^2, can be colored so that the contradiction with hidden…

Quantum Physics · Physics 2009-01-23 David A. Meyer

A characterization of noncontextual models which fall within the ambit of Fine's theorem is provided. In particular, the equivalence between the existence of three notions is made explicit: a joint probability distribution over the outcomes…

Quantum Physics · Physics 2015-02-13 Ravi Kunjwal

Contextuality is a phenomenon at the heart of the quantum mechanical departure from classical behaviour, and has been recently identified as a resource in quantum computation. Experimental demonstration of contextuality is thus an important…

Quantum Physics · Physics 2019-03-26 Xiang Zhan , Eric G. Cavalcanti , Jian Li , Zhihao Bian , Yongsheng Zhang , Howard M. Wiseman , Peng Xue

Since the enlightening proofs of quantum contextuality first established by Kochen and Specker, and also by Bell, various simplified proofs have been constructed to exclude the non-contextual hidden variable theory of our nature at the…

Quantum Physics · Physics 2017-12-25 Weidong Tang , Sixia Yu

Meyer, Kent and Clifton (MKC) claim to have nullified the Bell-Kochen-Specker (Bell-KS) theorem. It is true that they invalidate KS's account of the theorem's physical implications. However, they do not invalidate Bell's point, that quantum…

Quantum Physics · Physics 2007-05-23 D. M. Appleby

In the paper it is argued that the Kochen-Specker theorem necessitates a conclusion that for a quantum system it is possible to find a set of projection operators which is not truth-value bivalent; that is, a bivalent truth-value assignment…

Quantum Physics · Physics 2017-10-25 Arkady Bolotin
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