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This is not a disproof of the quantum PCP conjecture! In this note we use perturbation on the commuting Hamiltonian problem on a graph, based on results by Bravyi and Vyalyi, to provide a partial no-go theorem for quantum PCP. Specifically,…

计算复杂性 · 计算机科学 2012-06-12 Itai Arad

Unconditionally secure bit commitment is forbidden by quantum mechanics. We extend this no-go theorem to continuous-variable protocols where both players are restricted to use Gaussian states and operations, which is a reasonable assumption…

量子物理 · 物理学 2010-01-06 Loïck Magnin , Frédéric Magniez , Anthony Leverrier , Nicolas J. Cerf

The de Broglie-Bohm pilot-wave theory asserts that a complete characterization of an $N$-particle system is given by its wave function together with the (at-all-times-defined) positions of the particles, with the wave function always…

量子物理 · 物理学 2025-08-12 J. Manero , R. Muciño , E. Okon

In QBism the wave function does not represent an element of physical reality external to the agent, but represent an agent's personal probability assignments, reflecting his subjective degrees of belief about the future content of his…

量子物理 · 物理学 2025-01-08 Shan Gao

Usually the 'hidden variables' of Bell's theorem are supposed to describe the pair of Bell particles. Here a semantic shift is proposed, namely to attach the hidden variables to a stochastic medium or field in which the particles move. It…

量子物理 · 物理学 2017-01-24 Louis Vervoort

The original version of the de Broglie-Bohm pilot-wave theory, also called Bohmian mechanics, attempted to treat the wave function or pilot wave as a part of the physical ontology of nature. More recent versions of the de Broglie-Bohm…

量子物理 · 物理学 2026-02-12 Jacob A. Barandes

The PBR theorem has been hailed as one of the most important theorems in the foundations of quantum mechanics (QM), , cf. E. Samuel Reich, "Quantum theorem shakes foundations", Nature (2011). Here we argue that the special measurement, used…

综合物理 · 物理学 2023-07-12 Marcoen J. T. F. Cabbolet

It is shown that 'non-quantum systems', with anomalous statistical properties, would carry a distinctive experimental signature. Such systems can exist in deterministic hidden-variables theories (such as the pilot-wave theory of de Broglie…

量子物理 · 物理学 2009-11-10 Antony Valentini

The quantum Pusey--Barrett--Rudolph (PBR) theorem addresses the question of whether the quantum state corresponds to a $\psi$-ontic model (system's physical state) or to a $\psi$-epistemic model (observer's knowledge about the system). We…

量子物理 · 物理学 2019-09-20 Del Rajan , Matt Visser

This interpretation establishes a completely classical ontology -- only the classical trajectory in configuration space -- and interprets the wave function as describing incomplete information (in form of a probability flow) about this…

量子物理 · 物理学 2017-10-24 I. Schmelzer

The ontological model framework provides a rigorous approach to address the question of whether the quantum state is ontic or epistemic. When considering only conventional projective measurements, auxiliary assumptions are always needed to…

量子物理 · 物理学 2015-09-01 Shan Gao

The strongest attack against quantum mechanics came in 1935 in the form of a paper by Einstein, Podolsky and Rosen. It was argued that the theory of quantum mechanics could not be called a complete theory of Nature, for every element of…

量子物理 · 物理学 2009-11-11 A. A. Methot

At a fundamental level, the classical picture of the world is dead, and has been dead now for almost a century. Pinning down exactly which quantum phenomena are responsible for this has proved to be a tricky and controversial question, but…

量子物理 · 物理学 2015-08-04 David Jennings , Matthew Leifer

Hidden-variable (HV) theories allege that a quantum state describes an ensemble of systems distinguished by the values of hidden variables. No-go theorems assert that HV theories cannot match the predictions of quantum theory. The present…

量子物理 · 物理学 2017-07-25 Andreas Blass , Yuri Gurevich

This short note addresses the criticisms recently proposed by Shan Gao against our article "On the Reality of the Quantum State Once Again: A No-Go Theorem for {\psi}-Ontic Models" (Found. Phys. 54:14). The essay aims to respond to such…

量子物理 · 物理学 2024-12-30 Gabriele Carcassi , Andrea Oldofredi , Christine A. Aidala

It is shown that, although correct mathematically, the celebrated 1932 theorem of von Neumann which is often interpreted as proving the impossibility of the existence of "hidden variables" in Quantum Mechanics, is in fact based on an…

量子物理 · 物理学 2007-05-23 Elemer E Rosinger

In this paper, epistemology and ontology of quantum states are discussed based on a completely new way of founding quantum theory. The fundamental notions are conceptual variables in the mind of an observer or in the joint minds of a group…

量子物理 · 物理学 2022-05-25 Inge S. Helland

This paper considers a generalization of the notion of quantum observables in ontological models of quantum mechanics. Within this framework it is possible to construct physical models where quantum noncommutativity can arise dynamically.…

量子物理 · 物理学 2007-12-12 Tung Ten Yong

The manipulation of quantum coherence is one of the principal issues in the resource theory of coherence, with two critical topics being the purification and enhancement of coherence. Here, we present two no-go theorems for the…

量子物理 · 物理学 2022-03-30 Qiming Ding , Quancheng Liu

A novel no-go theorem is presented which sets a bound upon the extent to which '\Psi-epistemic' interpretations of quantum theory are able to explain the overlap between non-orthogonal quantum states in terms of an experimenter's ignorance…

量子物理 · 物理学 2013-05-23 O. J. E. Maroney