Quantum Theory, Namely the Pure and Reversible Theory of Information

Chiribella, Giulio; D’Ariano, Giacomo Mauro; Perinotti, Paolo

doi:10.3390/e14101877

Cited by 39 publications

(43 citation statements)

References 60 publications

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“…A common example of this is reversibility (or transitivity) [2,[10][11][12][13], which demands that any two pure states are linked by a reversible transformation.…”

Section: Introductionmentioning

confidence: 99%

Reversible dynamics in strongly non-local Boxworld systems

Al-Safi¹,

Short

2014

J. Phys. A: Math. Theor.

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In order to better understand the structure of quantum theory, or speculate about theories that may supercede it, it can be helpful to consider alternative physical theories. "Boxworld" describes one such theory, in which all non-signaling correlations are achievable. In a limited class of multipartite Boxworld systems -wherein all subsystems are identical and all measurements have the same number of outcomes -it has been demonstrated that the set of reversible dynamics is 'trivial', generated solely by local relabellings and permutations of subsystems. We develop the convex formalism of Boxworld to give an alternative proof of this result, then extend this proof to all multipartite Boxworld systems, and discuss the potential relevance to other theories. These results lend further support to the idea that the rich reversible dynamics in quantum theory may be the key to understanding its structure and its informational capabilities.

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“…A common example of this is reversibility (or transitivity) [2,[10][11][12][13], which demands that any two pure states are linked by a reversible transformation.…”

Section: Introductionmentioning

confidence: 99%

Reversible dynamics in strongly non-local Boxworld systems

Al-Safi¹,

Short

2014

J. Phys. A: Math. Theor.

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“…In fact, it has been proved that the whole theory can be derived by six assumptions having a pure informational character (Chiribella et al 2011;Chiribella et al 2012;D'Ariano 2012). We shall focus here on a particular aspect.…”

Section: Quantum Mechanicsmentioning

confidence: 97%

Emergence: selection, allowed operations, and conserved quantities

Auletta

2015

South African Journal of Philosophy

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We treat emergence via reference to four ideas: (1) the different levels of emergence are characterised by distinct conservation laws, (2) the emergence process starts from some instability, (3) the driving force of emergence is given by selection processes allowing canalisation of specific (emerging) paths, and (4) new forms of stability are determined by new kinds of operations. At a quantum-mechanical level entropy is conserved in an isolated system or at global level and the only allowed operations are local shifts in order and disorder − that implies weakening and strengthening correlations. The stable state is here represented by a highly symmetric state. Emergence of the classical physical world arises when energy is conserved and allowable operations include building and breaking of physicalchemical connections. The stable state is here the energy minimum. Emergence of the biotic world implies that the conserved quantity is energy efficiency. Energy is no longer locally conserved. The allowed operations are those that are consistent with the survival (persistence) of the organism. The emergence of the mind is grounded in selecting those operations that are rational (in the sense of maintaining biological self-organisation). Here, the rational value of behaviour is the quantity of interest. Mounting the ladder of (both cosmic and biological) evolution means to have more and more selection of the possible outcomes (and therefore of the relative operations) but in a growing space of possibilities: if selection would reduce more and more the space of possibilities, the final result would be a rigid order; at the other extreme, if we had only expansion of the possibilities without selection, the final result would be disorder. So growing complexity can be understood as a path in the evolutionary landscape of the systems in which a balance of order and disorder is maintained although each level emerges as a result of the selection.

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“…This result has been recently presented in nontechnical terms in ref. 19. In the following we will introduce the reader to the principles of ref.…”

Section: Introductionmentioning

confidence: 99%

“…The principles will be first stated in the nontechnical terms of ref. 19, and then illustrated in a special example of quantum theory.…”

Section: Introductionmentioning

confidence: 99%

Quantum theory from quantum information: the purification route

Chiribella

Yuan

2013

Can. J. Phys.

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Quantum information provided a new angle on the foundations of quantum mechanics, where the emphasis is placed on operational tasks pertaining to information-processing and computation. In this spirit, several authors have proposed that the mathematical structure of quantum theory could (and should) be rebuilt from purely information-theoretic principles. Here we review the particular route proposed by D'Ariano, Perinotti, and one of the authors (Chiribella et al. Phys. Rev. A, 84, 012311 (2011)), with the purpose of giving a synopsis of the informational principles therein, along with a translation of those principles into the mathematical language of standard quantum theory. PACS Nos.: 03.67.Ac, 03.65.Ta.Résumé : L'information quantique nous fournit un regard nouveau sur les fondements de la mécanique quantique, où l'emphase est placée sur les tâches opérationnelles pertinentes au traitement de l'information et au calcul. Dans cet esprit, plusieurs auteurs ont suggéré que la structure mathématique de la théorie quantique pourrait (et devrait) être reconstruite purement sur les principes de la théorie de l'information. Nous passons ici en revue la route particulière proposée par D'Ariano, Perinotti et un des auteurs du présent (Chiribella et al. Phys. Rev. A, 84, 012311 (2011)), dans le but de donner un synopsis des principes d'information qui y apparaissent, avec une traduction de ces principes vers le langage mathématique de la théorie quantique standard. [Traduit par la Rédaction]

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Quantum Theory, Namely the Pure and Reversible Theory of Information

Cited by 39 publications

References 60 publications

Reversible dynamics in strongly non-local Boxworld systems

Reversible dynamics in strongly non-local Boxworld systems

Emergence: selection, allowed operations, and conserved quantities

Quantum theory from quantum information: the purification route

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