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We explore the measurement problem in the entropic dynamics approach to quantum theory. The dual modes of quantum evolution---either continuous unitary evolution or abrupt wave function collapse during measurement---are unified by virtue of…

量子物理 · 物理学 2015-05-30 David T. Johnson , Ariel Caticha

To understand the dynamical origin of the measurement in quantum mechanics, several models have been put forward which have a quantum system coupled to an apparatus. The system and the apparatus evolve in time and the Born rule for the…

量子物理 · 物理学 2021-09-08 Nilanjana Chanda , Rangeet Bhattacharyya

The predictions of quantum mechanics are probabilistic. Quantum probabilities are extracted using a postulate of the theory called the Born rule, the status of which is central to the "measurement problem" of quantum mechanics. Efforts to…

量子物理 · 物理学 2015-10-13 T. G. Philbin

According to the Born rule, the probability density in quantum theory is determined by the square of the wave function. A generally accepted derivation of this rule has not yet been proposed. In the given work, a simple physical picture is…

量子物理 · 物理学 2024-08-19 S. S. Afonin

The lack of superposition of different position states or the emergence of classicality in macroscopic systems have been a puzzle for decades. Classicality exists in every measuring apparatus, and is the key for understanding what can be…

量子物理 · 物理学 2020-12-08 Pei Wang

The Born rule provides a fundamental connection between theory and observation in quantum mechanics, yet its origin remains a mystery. We consider this problem within the context of quantum optics using only classical physics and the…

量子物理 · 物理学 2020-10-28 Brian R. La Cour , Morgan C. Williamson

The Born rule postulates that the probability of measurement in quantum mechanics is related to the squared modulus of the wave function $\psi$. We rearrange the equation for energy eigenfunctions to define the energy as the real part of…

量子物理 · 物理学 2021-10-19 Nikodem Popławski , Michael Del Grosso

It is assumed that in a measurement the system under study interacts with a macroscopic measuring apparatus, in such a way that the density matrix of the measured system evolves according to the Lindblad equation. Under an assumption of…

量子物理 · 物理学 2016-04-20 Steven Weinberg

The Born rule, a foundational axiom used to deduce probabilities of events from wavefunctions, is indispensable in the everyday practice of quantum physics. It is also key in the quest to reconcile the ostensibly inconsistent laws of the…

A simple model of quantum particle is proposed in which the particle in a {\it macroscopic} rest frame is represented by a {\it microscopic d}-dimensional oscillator, {\it s=(d-1)/2} being the spin of the particle. The state vectors are…

量子物理 · 物理学 2007-05-23 Blagowest Nikolov

The goal of this paper is to apply the collection of mathematical tools known as the "method of arbitrary functions" to analyze how probability arises from quantum dynamics. We argue that in a toy model of quantum measurement the Born rule…

量子物理 · 物理学 2024-09-26 Liam Bonds , Brooke Burson , Kade Cicchella , Benjamin H. Feintzeig , Lynnx , Alia Yusaini

The Born rule for probabilities of measurement results is deduced from the set of five assumptions. The assumptions state that: (a) the state vector fully determines the probabilities of all measurement results; (b) between measurements,…

量子物理 · 物理学 2013-08-27 Alexey V. Nenashev

I argue that the marquis characteristics of the quantum-mechanical double-slit experiment (point detection, random distribution, Born rule) can be explained using Schroedinger's equation alone, if one takes into account that, for any atom…

综合物理 · 物理学 2019-05-02 Jonathan F. Schonfeld

A realist description of our universe requires a twofold concept of locality. On one hand, there are the strictly Einstein-local interactions which generate the time evolution. On the other hand, the quantum state space calls for a…

量子物理 · 物理学 2013-08-27 Andreas O. Tell

We consider how the Born rule, a fundamental principle of quantum mechanics, can be tested for particles created on the shortest timescales ($\sim10^{-25}\,\mathrm{s}$) currently accessible at high-energy colliders. We focus on targeted…

高能物理 - 唯象学 · 物理学 2026-01-05 Antony Valentini , Mira Varma

A model of quantum measurement, illustrated using the spin--boson model, is formulated in terms of a cascading pair of quantum phase transitions. The first produces the desired superposition of macroscopic responses to the microscopic state…

统计力学 · 物理学 2019-12-19 Peter B. Weichman

Randomness is a fundamental aspect of quantum mechanics, arising from the measurement process that collapses superpositions into definite outcomes according to Born's rule. Generating large-scale random quantum states is crucial for quantum…

量子物理 · 物理学 2025-05-05 Guglielmo Lami , Andrea De Luca , Xhek Turkeshi , Jacopo De Nardis

This work introduces a novel model of quantum entities as unified, physically extended wavefields, forming the basis for a testable realist, holist framework for quantum measurement and collapse. Unlike interpretations that postulate hidden…

量子物理 · 物理学 2026-05-14 Jason D. Runyan

Born's rule is the recipe for calculating probabilities from quantum mechanical amplitudes. There is no generally accepted derivation of Born's rule from first principles. In this paper, it is motivated from assumptions that link the…

量子物理 · 物理学 2024-11-05 Per Östborn

For a projective measurement, the Born rule provides the probability for an outcome in terms of the inner product between a projector and a quantum state. If the projector represents a pure entangled state and the state for a composite…

量子物理 · 物理学 2017-03-16 Arun Sehrawat
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