Active Information and Teleportation

Hiley, B. J.

doi:10.1007/978-94-017-1454-9_8

Cited by 10 publications

(8 citation statements)

References 16 publications

(27 reference statements)

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“…Finally, information transfer in networks of coupled labyrinth walks systems as "carriers of information" 15,16,43 emerges as another exciting field of future research, since it is related to the volumepreservation property of individual labyrinth walks systems.…”

Section: Discussionmentioning

confidence: 99%

Labyrinth chaos: Revisiting the elegant, chaotic, and hyperchaotic walks

Basios

Antonopoulos

Latifi

2020

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Labyrinth chaos was discovered by Otto Rössler and René Thomas in their endeavour to identify the necessary mathematical conditions for the appearance of chaotic and hyperchaotic motion in continuous flows. Here, we celebrate their discovery by considering a single labyrinth walks system and an array of coupled labyrinth chaos systems that exhibit complex, chaotic behaviour, reminiscent of chimera-like states, a peculiar synchronisation phenomenon. We discuss the properties of the single labyrinth walks system and review the ability of coupled labyrinth chaos systems to exhibit chimera-like states due to the unique properties of their space-filling, chaotic trajectories, what amounts to elegant, hyperchaotic walks. Finally, we discuss further implications in relation to the labyrinth walks system by showing that even though it is volume-preserving, it is not force-conservative.

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Section: Discussionmentioning

confidence: 99%

Labyrinth chaos: Revisiting the elegant, chaotic, and hyperchaotic walks

Basios

Antonopoulos

Latifi

2020

Chaos: An Interdisciplinary Journal of Nonlinear Science

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“…In Chapter 2, Brukner and Zeilinger's attempted criticism of the Shannon information in quantum mechanics was discussed, and as remarked there, what provides the background to this criticism is Zeilinger's (1999) proposal of an information-theoretic foundational principle for quantum mechanics.…”

Section: Zeilinger's Foundational Principlementioning

confidence: 99%

“…(Zeilinger, 1999b, p.634) With these assumptions noted, let us consider the two distinct formulations of the Principle presented in Zeilinger (1999):…”

Section: Zeilinger's Foundational Principlementioning

confidence: 99%

Quantum information theory and the foundations of quantum mechanics

Timpson¹

2013

Choice Reviews Online

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of Thesis Submitted for the Degree of Doctor of PhilosophyThis thesis is a contribution to the debate on the implications of quantum information theory for the foundational problems of quantum mechanics. In Part I an attempt is made to shed some light on the nature of information and quantum information theory. It is emphasized that the everyday notion of information is to be firmly distinguished from the technical notions arising in information theory;however it is maintained that in both settings 'information' functions as an abstract noun, hence does not refer to a particular or substance. The popular claim 'Information is Physical' is assessed and it is argued that this proposition faces a destructive dilemma. Accordingly, the slogan may not be understood as an ontological claim, but at best, as a methodological one. A novel argument is provided against Dretske's (1981) attempt to base a semantic notion of information on ideas from information theory.The function of various measures of information content for quantum systems is explored and the applicability of the Shannon information in the quantum context maintained against the challenge of Brukner and Zeilinger (2001). The phenomenon of quantum teleportation is then explored as a case study serving to emphasize the value of recognising the logical status of 'information' as an abstract noun: it is argued that the conceptual puzzles often associated with this phenomenon result from the familiar error of hypostatizing an abstract noun.The approach of Deutsch and Hayden (2000) to the questions of locality and information flow in entangled quantum systems is assessed. It is suggested that the approach suffers from an equivocation between a conservative and an ontological reading; and the differing implications of each is examined. Some results are presented on the characterization of entanglement in the Deutsch-Hayden formalism.Part I closes with a discussion of some philosophical aspects of quantum computation.In particular, it is argued against Deutsch that the Church-Turing hypothesis is not underwritten by a physical principle, the Turing Principle. Some general morals are drawn concerning the nature of quantum information theory.In Part II, attention turns to the question of the implications of quantum information theory for our understanding of the meaning of the quantum formalism. Following some preliminary remarks, two particular information-theoretic approaches to the foundations of quantum mechanics are assessed in detail. It is argued that Zeilinger's (1999) Foundational Principle is unsuccessful as a foundational principle for quantum mechanics. The information-theoretic characterization theorem of Clifton, is assessed more favourably, but the generality of the approach is questioned and it is argued that the implications of the theorem for the traditional foundational problems in quantum mechanics remains obscure.

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“…One can find many, often astonished, expressions of this: …a particle certainly is…not a durable little thing with individuality; ([ 30 ], p. 241) the historical idea…that the material world is…structured by some kind of interacting “elementary systems” is in sharp contradiction [with] quantum mechanics; ([ 31 ], p. 88) quantum phenomena require us to think in a radical new way, a way in which we will have to ultimately give up both the notion of particles and fields. ([ 32 ], p. 116)…”

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confidence: 99%

“…There is nothing intrinsic to a string of bits that makes it about missile guidance as opposed to, say, a Gilligan’s Island rerun. However, active information is, as Hiley sometimes puts it, “for the particle” (see, e.g., [ 32 ]). Such information is intrinsically semantic as opposed to the merely syntactic or structural information of standard information theory.…”

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confidence: 99%

The Philosophical and Scientific Metaphysics of David Bohm

Seager

2018

Entropy

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Although David Bohm's interpretation of quantum mechanics is sometimes thought to be a kind of regression towards classical thinking, it is in fact an extremely radical metaphysics of nature. The view goes far beyond the familiar but perennially peculiar non-locality and entanglement of quantum systems. In this paper, a philosophical exploration, I examine three core features of Bohm's metaphysical views, which have been both supported by features of quantum mechanics and integrated into a comprehensive system. These are the holistic nature of the world, the role of a unique kind of information as the ontological basis of the world, and the integration of mentality into this basis as an essential and irreducible aspect of it.

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Active Information and Teleportation

Cited by 10 publications

References 16 publications

Labyrinth chaos: Revisiting the elegant, chaotic, and hyperchaotic walks

Labyrinth chaos: Revisiting the elegant, chaotic, and hyperchaotic walks

Quantum information theory and the foundations of quantum mechanics

The Philosophical and Scientific Metaphysics of David Bohm

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