Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Kluwer Academic Publishers-Plenum Publishers eBooks

Quantum Time Entanglement of Electrons

James H. McGuire, Alexander Godunov

Published Dec 13, 2005• 2 citations
Publisher

Abstract

Correlation is often significant in electron scattering from atoms, nuclei and bulk matter. Mathematically, as well as conceptually, correlation and entanglement are defined in the same way. Both correlation and entanglement connote mixing. Both are described as a deviation from a product (uncorrelated) form. In quantum optics the term entanglement is used to describe the spatial mixing of states of a system by external electromagnetic fields. In static systems correlation arises from interparticle fields that mix wavefunctions. Correlation dynamics, intrinsic in scattering from few and many body systems, adds the dimension of time to the basic conceptual framework. Time correlation, described here, mixes the time evolution of the particles. This time entanglement, which is non-local, requires both spatial correlation and quantum time ordering. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

DOI
10.1007/0-387-27567-3_17

Related papers

The Intrinsic Quantum Nature of Classical Game Theory

Yohan Pelosse

The notion of mixed strategy, as originally introduced by Von Neumann and Morgenstern ( 1944 ) is a basic ingredient of classical game theory. Yet, as pointed out by von Neumann and Morgenstern themselves, the idea that a rational player may have to use a randomizing device, such as a coin flip, to decide on their actions poses some insuperable conceptual difficulties. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Palgrave Macmillan UK eBooks•Jan 1, 2017•1 citation

Quantum entanglement

Franck Laloë

In this chapter, we study the properties of quantum entanglement, and more generally the way correlations can appear in quantum mechanics. Quantum entanglement is an important notion that we have already discussed, for instance in the context of the Von Neumann chain or of the Schrödinger cat, but here we give more details on its properties. In classical physics, the notion of correlation is well known. It hinges on the calculation of probabilities and on linear averages over a number of possibilities. A distribution gives the probability of having the first system in a some given state and the second in another state. If this distribution is not a product, the two systems are correlated. If it is a product, they are uncorrelated; measuring the properties of one system does not bring any information on the other. This is in particular the case if the state of each of the two systems is perfectly defined (which also defines the state of the whole system perfectly well). The notion of correlation between sub-systems therefore stems from the multiplicity of possible states of the whole system; fluctuations of this state are necessary to give its full meaning to the classical notion of correlation. In quantum mechanics, the situation is different: as we have seen (in particular in Chapter 4), even a physical system that is perfectly defined by a given state vector already contains fluctuations.

Cambridge University Press eBooks•Aug 30, 2012•1 citation

Comments on the quantum correlation and entanglement

S. V. Gantsevich, V. L. Gurevich

In recent decades it was established that the quantum measurements of physical quantities in space-time points divided by space-like intervals may be correlated. Though such correlation follows from the formulas of quantum mechanics its physics so far remains unclear and there is a number of different and rather contradictory interpretations. They concern particularly the so-called Einstein-Podolsky-Rosen paradox where the momentary action at a distance together with non-local entangled states is used for the interpretation. We assume that the quantum theory can be formulated as local and look for the consequences of this assumption. Accordingly we try to explain the correlation phenomena in a local way looking for the origin of correlation. To exclude a presupposed correlation of participating quantum particles we consider two independent particle sources and two detectors that are independent as well. We show that the origin of the correlation is the feature that the occupation number of a particle (and other its measurable quantities) is formed by a pair of complex conjugated wave functions with in general arbitrary phases. We consider this point as crucial as it provides interpretation of the observed correlation phenomena that may otherwise look puzzling. We briefly discuss a special type of noise that is typical for the quantum correlation phenomena.

arXiv:1512.03672•Dec 11, 2015•1 citation

Introduction

Simon Friederich

Quantum theory is perhaps the theory with the greatest predictive and explanatory success in all the history of physics. To name just a few of its countless achievements: it explains the stability of the stable atoms and nuclei and predicts the decay rates of the unstable ones; it accounts for the different manifestations of matter such as gaseous, liquid and solid, metallic and insulating, magnetic, superfluid and superconducting; it forms the basis of our chemical knowledge; and it provides the conceptual framework of all contemporary models for the fundamental constituents of matter. In addition, some of its predictions, for example that of the ‘electron spin g -factor’ in quantum electrodynamics, are perhaps the most accurate ones ever made in the history of science. Some of its predictions concern matter at extremely high energy and interactions between bits of matter at extremely short distances; others are about matter at extremely low energy and close to the zero of absolute temperature. As far as its technological applications are concerned, its insights are at the heart of the overwhelming technological progress in information technology in the past few decades, it explains why nuclear fission and fusion work as they do, and it forms the basis of the rapidly growing field of nanotechnology. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Palgrave Macmillan UK eBooks•Jan 1, 2015•0 citations

Temporal correlations and its connection to coherence

Hai Wang, Ray‐Kuang Lee, Manish Shukla +1 more

Time evolution is an indivisible part in any physics theory. It is now known that there are also correlation in evolutions of quantum systems. In this paper, we generalize the entangled-history theory to arbitrary quantum states and quantum channels. Seeing quantum channels as temporal correlations in quantum mechanics, we show how to describe this temporal correlation based on our generalization. Besides, we give a physical explanation of the entanglement of a quantum channel's Choi matrix and show the relation between temporal correlation and coherence in quantum mechanics.

arXiv:1910.05694•Oct 13, 2019•0 citations

Lecture 10: Scattering Theory. Time-Dependent Formalism. Wave Operators

Gianfausto Dell’Antonio

Scattering theory, in Quantum as in Classical Mechanics, describes those effects of the interaction of a system of N particles which can be measured when the components of the system have become spatially separated so that they can be uniquely identified and the mutual interactions have become negligible. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Atlantis studies in mathematical physics•Jan 1, 2016•0 citations
Correlation is often significant in electron scattering from atoms, nuclei and bulk matter. Mathematically, as well as conceptually, correlation and entanglement are defined in the same way. Both correlation and entanglement connote mixing. Both are described as a deviation from a product (uncorrelated) form. In quantum optics the term entanglement is used to describe the spatial mixing of states of a system by external electromagnetic fields. In static systems correlation arises from interparticle fields that mix wavefunctions. Correlation dynamics, intrinsic in scattering from few and many body systems, adds the dimension of time to the basic conceptual framework. Time correlation, described here, mixes the time evolution of the particles. This time entanglement, which is non-local, requires both spatial correlation and quantum time ordering. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
The notion of mixed strategy, as originally introduced by Von Neumann and Morgenstern ( 1944 ) is a basic ingredient of classical game theory. Yet, as pointed out by von Neumann and Morgenstern themselves, the idea that a rational player may have to use a randomizing device, such as a coin flip, to decide on their actions poses some insuperable conceptual difficulties. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
In this chapter, we study the properties of quantum entanglement, and more generally the way correlations can appear in quantum mechanics. Quantum entanglement is an important notion that we have already discussed, for instance in the context of the Von Neumann chain or of the Schrödinger cat, but here we give more details on its properties. In classical physics, the notion of correlation is well known. It hinges on the calculation of probabilities and on linear averages over a number of possibilities. A distribution gives the probability of having the first system in a some given state and the second in another state. If this distribution is not a product, the two systems are correlated. If it is a product, they are uncorrelated; measuring the properties of one system does not bring any information on the other. This is in particular the case if the state of each of the two systems is perfectly defined (which also defines the state of the whole system perfectly well). The notion of correlation between sub-systems therefore stems from the multiplicity of possible states of the whole system; fluctuations of this state are necessary to give its full meaning to the classical notion of correlation. In quantum mechanics, the situation is different: as we have seen (in particular in Chapter 4), even a physical system that is perfectly defined by a given state vector already contains fluctuations.
In recent decades it was established that the quantum measurements of physical quantities in space-time points divided by space-like intervals may be correlated. Though such correlation follows from the formulas of quantum mechanics its physics so far remains unclear and there is a number of different and rather contradictory interpretations. They concern particularly the so-called Einstein-Podolsky-Rosen paradox where the momentary action at a distance together with non-local entangled states is used for the interpretation. We assume that the quantum theory can be formulated as local and look for the consequences of this assumption. Accordingly we try to explain the correlation phenomena in a local way looking for the origin of correlation. To exclude a presupposed correlation of participating quantum particles we consider two independent particle sources and two detectors that are independent as well. We show that the origin of the correlation is the feature that the occupation number of a particle (and other its measurable quantities) is formed by a pair of complex conjugated wave functions with in general arbitrary phases. We consider this point as crucial as it provides interpretation of the observed correlation phenomena that may otherwise look puzzling. We briefly discuss a special type of noise that is typical for the quantum correlation phenomena.
Quantum theory is perhaps the theory with the greatest predictive and explanatory success in all the history of physics. To name just a few of its countless achievements: it explains the stability of the stable atoms and nuclei and predicts the decay rates of the unstable ones; it accounts for the different manifestations of matter such as gaseous, liquid and solid, metallic and insulating, magnetic, superfluid and superconducting; it forms the basis of our chemical knowledge; and it provides the conceptual framework of all contemporary models for the fundamental constituents of matter. In addition, some of its predictions, for example that of the ‘electron spin g -factor’ in quantum electrodynamics, are perhaps the most accurate ones ever made in the history of science. Some of its predictions concern matter at extremely high energy and interactions between bits of matter at extremely short distances; others are about matter at extremely low energy and close to the zero of absolute temperature. As far as its technological applications are concerned, its insights are at the heart of the overwhelming technological progress in information technology in the past few decades, it explains why nuclear fission and fusion work as they do, and it forms the basis of the rapidly growing field of nanotechnology. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Time evolution is an indivisible part in any physics theory. It is now known that there are also correlation in evolutions of quantum systems. In this paper, we generalize the entangled-history theory to arbitrary quantum states and quantum channels. Seeing quantum channels as temporal correlations in quantum mechanics, we show how to describe this temporal correlation based on our generalization. Besides, we give a physical explanation of the entanglement of a quantum channel's Choi matrix and show the relation between temporal correlation and coherence in quantum mechanics.