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.

25 pages, Latex2e and Revtex4

References in corpus (4)

• On Zurek's derivation of the Born rule
• Probabilities from envariance?
• 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

Cited by in corpus (7)

• Quantum Theory of the Classical: Einselection, Envariance, Quantum Darwinism and Extantons
• 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
• Derivation of the quantum probability law from minimal non-demolition measurement
• Quantum Correlations in Multipartite States. Study Based on the Wootters-Mermin Theorem