A sub-ensemble theory of ideal quantum measurement processes

  title={A sub-ensemble theory of ideal quantum measurement processes},
  author={Armen E. Allahverdyan and Roger Balian and Theo M. Nieuwenhuizen},
  journal={Annals of Physics},
Foundations of quantum physics III. Measurement
This paper presents the measurement problem from the point of view of the thermal interpretation of quantum physics introduced in Part II. The measurement of a Hermitian quantity $A$ is regarded as
On classical systems and measurements in quantum mechanics
  • E. Deumens
  • Physics
    Quantum Studies: Mathematics and Foundations
  • 2019
The recent rigorous derivation of the Born rule from the dynamical law of quantum mechanics Allahverdyan et al. (Phys Rep 525:1–166. https://doi.org/10.1016/j.physrep.2012.11.001, 2013) is taken as
Understanding quantum mechanics: a review and synthesis in precise language
This review is broad in scope, and aims to reflect enough of the literature to be representative of the current state of the subject, and to contribute to achieving greater consensus on how to understand quantum mechanics.
Classicality of the heat produced by quantum measurements
Quantum measurement is ultimately a physical process, resulting from an interaction between the measured system and a measuring apparatus. Considering the physical process of measurement within a
Simultaneous measurement of two noncommuting quantum variables : Solution of a dynamical model
The possibility of performing simultaneous measurements in quantum mechanics is investigated in the context of the Curie-Weiss model for a projective measurement. Concretely, we consider a spin-1/2
Quantum mechanics via quantum tomography
Starting from a new basic principle inspired by quantum tomography rather than from Born’s rule, this paper gives an elementary, and self-contained deductive approach to quantum mechanics and quantum
A microscopic model of wave-function dephasing and decoherence in the double-slit experiment
The calculation in this paper studies the evolution of a quantum system starting with “dephasing” followed by the effects of the environment with some differences from prior analyses, and shows that the system wave-function will explicitly “un-collapse” if the measurement apparatus is sufficiently small.
”The Unavoidable Interaction Between the Object and the Measuring Instruments”: Reality, Probability, and Nonlocality in Quantum Physics
This article aims to contribute to the ongoing task of clarifying the relationships between reality, probability, and nonlocality in quantum physics. It is in part stimulated by Khrennikov’s
Bell inequality violation in the framework of a Darwinian approach to quantum mechanics
This theory implies outcome dependence - through shared randomness – and parameter dependence – through shared anticipation – for entangled states and, as a consequence, the violation of the Bell inequality in an EPR-Bohm experiment.


Curie-Weiss model of the quantum measurement process
A Hamiltonian model is solved, which satisfies all requirements for a realistic ideal quantum measurement. The system S is a spin-½, whose z-component is measured through coupling with an apparatus A
Equiprobability, inference, and entropy in quantum theory
Can the Quantum Measurement Problem be Resolved within the Framework of Schroedinger Dynamics and Quantum Probability
We provide an affirmative answer to the question posed in the title. Our argument is based on a treatment of the Schroedinger dynamics of the composite, Sc, of a quantum microsystem, S, and a
Quantum theory of measurement based on the many Hilbert space approach
Decoherence, einselection, and the quantum origins of the classical
as quantum engineering. In the past two decades it has become increasingly clear that many (perhaps all) of the symptoms of classicality can be induced in quantum systems by their environments. Thus
The Formalisms of Quantum Mechanics: An Introduction
These lecture notes present a concise and introductory, yet as far as possible coherent, view of the main formalizations of quantum mechanics and of quantum field theories, their interrelations and