Coupling-Induced Bipartite Pointer States in Arrays of Electron Billiards: Quantum Darwinism in Action?

Emergence of the classical from the quantum substrate is a long-standing conundrum. The chapter describes its resolution based on three insights that stem from the recognition of the role of the environment. The chapter begins with the derivation of preferred states that define “events”, the essence of everyday classical reality. They arise from the tension between the unitary quantum dynamics and the nonlinear amplification inherent in replicating information. The resulting pointer states are consistent with these obtained via environment-induced superselection (einselection). They determine what can happen by defining events such as quantum jumps without appealing to Born’s rule for probabilities. Probabilities can be now deduced from envariance (a symmetry of entangled quantum states). With probabilities at hand one can quantify information flows accompanying decoherence. Effective amplification they represent explains perception of objective classical reality arising from within the quantum universe through redundancy of the pointer state records in their environment—through quantum Darwinism.

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Quantum theory of the classical: quantum jumps, Born’s Rule and objective classical reality via quantum Darwinism

Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rsta.2018.0107 ◽

2018 ◽

Vol 376 (2123) ◽

pp. 20180107 ◽

Cited By ~ 10

Author(s):

Wojciech Hubert Zurek

Keyword(s):

Statistical Physics ◽

Foundations Of Quantum Mechanics ◽

Information Flows ◽

Quantum Jumps ◽

Born’S Rule ◽

Quantum Darwinism ◽

Pointer States ◽

Classical Quantum ◽

Entangled Quantum States ◽

Macroscopic Quantum Systems

The emergence of the classical world from the quantum substrate of our Universe is a long-standing conundrum. In this paper, I describe three insights into the transition from quantum to classical that are based on the recognition of the role of the environment. I begin with the derivation of preferred sets of states that help to define what exists—our everyday classical reality. They emerge as a result of the breaking of the unitary symmetry of the Hilbert space which happens when the unitarity of quantum evolutions encounters nonlinearities inherent in the process of amplification—of replicating information. This derivation is accomplished without the usual tools of decoherence, and accounts for the appearance of quantum jumps and the emergence of preferredpointer statesconsistent with those obtained via environment-induced superselection, oreinselection. The pointer states obtained in this way determine what can happen—define events—without appealing to Born’s Rule for probabilities. Therefore,pk=|ψk|2can now be deduced from the entanglement-assisted invariance, orenvariance—a symmetry of entangled quantum states. With probabilities at hand, one also gains new insights into the foundations of quantum statistical physics. Moreover, one can now analyse the information flows responsible for decoherence. These information flows explain how the perception of objective classical reality arises from the quantum substrate: the effective amplification that they represent accounts for the objective existence of the einselected states of macroscopic quantum systems through the redundancy of pointer state records in their environment—throughquantum Darwinism.This article is part of a discussion meeting issue ‘Foundations of quantum mechanics and their impact on contemporary society’.

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Application of quantum Darwinism to a structured environment

Physical Review A ◽

10.1103/physreva.96.062105 ◽

2017 ◽

Vol 96 (6) ◽

Cited By ~ 15

Author(s):

Graeme Pleasance ◽

Barry M. Garraway

Keyword(s):

Quantum Darwinism

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Reading a Qubit Quantum State with a Quantum Meter: Time Unfolding of Quantum Darwinism and Quantum Information Flux

Open Systems & Information Dynamics ◽

10.1142/s1230161219500239 ◽

2019 ◽

Vol 26 (04) ◽

pp. 1950023

Author(s):

Salvatore Lorenzo ◽

Mauro Paternostro ◽

G. Massimo Palma

Keyword(s):

Quantum Information ◽

Harmonic Oscillator ◽

Quantum System ◽

Quantum State ◽

Common Theme ◽

Quantum Harmonic Oscillator ◽

Collision Model ◽

Single Qubit ◽

Quantum Darwinism

Quantum non-Markovianity and quantum Darwinism are two phenomena linked by a common theme: the flux of quantum information between a quantum system and the quantum environment it interacts with. In this work, making use of a quantum collision model, a formalism initiated by Sudarshan and his school, we will analyse the efficiency with which the information about a single qubit gained by a quantum harmonic oscillator, acting as a meter, is transferred to a bosonic environment. We will show how, in some regimes, such quantum information flux is inefficient, leading to the simultaneous emergence of non-Markovian and non-darwinistic behaviours.

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