Quantum jumps, Born’s rule, and objective classical reality via quantum Darwinism

Author(s):  
Wojciech Hubert Zurek

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.

Author(s):  
Wojciech Hubert Zurek

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’.


2016 ◽  
Vol 12 (1) ◽  
pp. 4172-4177
Author(s):  
Abdul Malek

The denial of the existence of contradiction is at the root of all idealism in epistemology and the cause for alienations.  This alienation has become a hindrance for the understanding of the nature and the historical evolution mathematics itself and its role as an instrument in the enquiry of the physical universe (1). A dialectical materialist approach incorporating  the role of the contradiction of the unity of the opposites, chance and necessity etc., can provide a proper understanding of the historical evolution of mathematics and  may ameliorate  the negative effect of the alienation in modern theoretical physics and cosmology. The dialectical view also offers a more plausible materialist interpretation of the bewildering wave-particle duality in quantum dynamics (2).


Author(s):  
Richard Healey

Quantum entanglement is popularly believed to give rise to spooky action at a distance of a kind that Einstein decisively rejected. Indeed, important recent experiments on systems assigned entangled states have been claimed to refute Einstein by exhibiting such spooky action. After reviewing two considerations in favor of this view I argue that quantum theory can be used to explain puzzling correlations correctly predicted by assignment of entangled quantum states with no such instantaneous action at a distance. We owe both considerations in favor of the view to arguments of John Bell. I present simplified forms of these arguments as well as a game that provides insight into the situation. The argument I give in response turns on a prescriptive view of quantum states that differs both from Dirac’s (as stated in Chapter 2) and Einstein’s.


Author(s):  
Amir Karimi

In this paper, first, we introduce special types of entangled quantum states named “entangled displaced even and odd squeezed states” by using displaced even and odd squeezed states which are constructed via the action of displacement operator on the even and odd squeezed states, respectively. Next, we present a theoretical scheme to generate the introduced entangled states. This scheme is based on the interaction between a [Formula: see text]-type three-level atom and a two-mode quantized field in the presence of two strong classical fields. In the continuation, we consider the entanglement feature of the introduced entangled states by evaluating concurrence. Moreover, we study the influence of the displacement parameter on the entanglement degree of the introduced entangled states and compare the results. It will be observed that the concurrence of the “entangled displaced odd squeezed states” has less decrement with respect to the “entangled displaced even squeezed states” by increasing the displacement parameter.


Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 450
Author(s):  
Oskar Słowik ◽  
Adam Sawicki ◽  
Tomasz Maciążek

One of the key ingredients of many LOCC protocols in quantum information is a multiparticle (locally) maximally entangled quantum state, aka a critical state, that possesses local symmetries. We show how to design critical states with arbitrarily large local unitary symmetry. We explain that such states can be realised in a quantum system of distinguishable traps with bosons or fermions occupying a finite number of modes. Then, local symmetries of the designed quantum state are equal to the unitary group of local mode operations acting diagonally on all traps. Therefore, such a group of symmetries is naturally protected against errors that occur in a physical realisation of mode operators. We also link our results with the existence of so-called strictly semistable states with particular asymptotic diagonal symmetries. Our main technical result states that the Nth tensor power of any irreducible representation of SU(N) contains a copy of the trivial representation. This is established via a direct combinatorial analysis of Littlewood-Richardson rules utilising certain combinatorial objects which we call telescopes.


2003 ◽  
Vol 42 (12) ◽  
pp. 2847-2853
Author(s):  
Yorick Hardy ◽  
Willi-Hans Steeb ◽  
Ruedi Stoop

First Monday ◽  
2021 ◽  
Author(s):  
Paul Reilly

Whereas there has been much research into the manufacture of ‘fake news’ to sow disunity within liberal democracies, little is known about how information disorders affect deeply divided societies. This paper addresses that gap in the literature by exploring how digital media are used to share misinformation and disinformation during contentious public demonstrations in Northern Ireland. It does so by reviewing the literature on social media information flows during acute crisis events, and qualitatively exploring the role of Twitter in spreading misinformation and disinformation during the 2014 and 2015 Ardoyne parade disputes. Results indicate that visual disinformation, presumably shared to inflame sectarian tensions during the parade, was quickly debunked in information flows co-curated by citizens and professional journalists. Online misinformation and disinformation appeared to have minimal impact on events on the ground, although there was some evidence of belief echoes among tweeters who distrusted the information provided by mainstream media.


2011 ◽  
pp. 2086-2105
Author(s):  
Yu Chung William Wang ◽  
Michael S.H. Heng

Many Small and Medium Enterprises (SMEs) have been under pressures from large firms to implement Business-to-Business e-commerce (B2B e-commerce) information systems. However, these SMEs have faced various challenges to do so in the supply chain. This chapter explains the role of Taiwanese government in supporting SMEs in implementing e-commerce by analysing the interactions of government teams with current projects, and challenges of Taiwanese SMEs. Discussions and analyses focus on the government help in setting up infrastructure, B2B e-commerce implementation, and interfirm interactions among SMEs and larger firms. The Taiwanese government has been promoting its global logistic strategy for economic development which stresses supply chain integration by bridging information flows among overseas enterprises, domestic large firms, and local SMEs. Government projects related to this strategy are intended to anchor SMEs’ growing needs in linking B2B e-commerce with large firms. Our analyses and proposal dwell on how government can further bridge the gaps between the intrinsic barriers of SMEs and the interactions with larger firms in B2B e-commerce implementation.


Author(s):  
S. Saghiri

Concentrating on the role of supply chain decoupling point, this chapter introduces different levels of customisation and mass operations and three types of mass customisation. It argues that in each mass customisation type, information systems which are upstream and downstream of the decoupling point can be varied. Consequently, information flows in different types of mass customisation have been examined. This analysis is an endeavour to organise mass customisation information systems across the supply chain, while it can be a useful structure for future researches in this area as well.


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