Complete "Born's rule" from "environment-assisted invariance" in terms of pure-state twin unitaries

Abstract

Zurek's derivation of the Born rule from envariance (environment-assisted invariance) is tightened up, somewhat generalized, and extended to encompass all possibilities. By this, besides Zurek's most important work, also the works of 5 other commentators of the derivation are taken into account, and selected excerpts commented upon. All this is done after a detailed theory of twin unitaries, which are the other face of envariance.

arXiv comment25 pages, Latex2e and Revtex4

References in corpus (14)

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• Environment - Assisted Invariance, Causality, and Probabilities in Quantum Physics
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• Are there basic laws of quantum information processing?
• No-signalling-based version of Zurek's derivation of quantum probabilities: A note on "Environment-assisted invariance, entanglement, and probabilities in quantum physics"
• Complete "Born's rule" from "environment-assisted invariance" in terms of pure-state twin unitaries
• Mixed-state twin observables
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• The role of coherence entropy of physical twin observables in entanglement
• On bipartite pure-state entanglement structure in terms of disentanglement
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Cited by in corpus (10)

• Quantum Theory of the Classical: Einselection, Envariance, Quantum Darwinism and Extantons
• Quantum Theory of the Classical: Quantum Jumps, Born's Rule, and Objective Classical Reality via Quantum Darwinism
• Eliminating Ensembles from Equilibrium Statistical Physics: Maxwell's Demon, Szilard's Engine, and Thermodynamics via Entanglement
• Entanglement Symmetry, Amplitudes, and Probabilities: Inverting Born's Rule
• Complete "Born's rule" from "environment-assisted invariance" in terms of pure-state twin unitaries
• On the EPR-type Entanglement in the Experiments of Scully et Al. I. The Micromaser Case and Delayed-choice Quantum Erasure
• A Review of Unitary Quantum Premeasurement Theory An Algebraic Study of Basic Kinds of Premeasurements
• Operational symmetries of entangled states
• Derivation of the quantum probability law from minimal non-demolition measurement
• Quantum Correlations in Multipartite States. Study Based on the Wootters-Mermin Theorem