Classical interventions in quantum systems. I. The measuring process

1999/06/30 by Asher Peres · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computer science #Generalization #Master equation #Mathematical analysis #Mathematics #Open quantum system #Physics #Process (computing) #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum decoherence #Quantum dissipation #Quantum dynamics #Quantum mechanics #Quantum operation #Quantum process #Quantum system #Semigroup #Statistical physics #Unitary state #quant-ph

paper · pdf · doi:10.1103/physreva.61.022116

published as Physical Review A 61 (2000) 022116 · Final version, 14 pages LaTeX

openalex publication_date 2000/01/18 · arxiv created 2000/02/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The measuring process is an external intervention in the dynamics of a quantum system. It involves a unitary interaction of that system with a measuring apparatus, a further interaction of both with an unknown environment causing decoherence, and then the deletion of a subsystem. This description of the measuring process is a substantial generalization of current models in quantum measurement theory. In particular, no ancilla is needed. The final result is represented by a completely positive map of the quantum state \ensuremathρ (possibly with a change of the dimensions of \ensuremathρ). A continuous limit of the above process leads to Lindblad's equation for the quantum-dynamical semigroup [Commun. Math. Phys. 48, 119 (1976)].

Citations

• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• The Statistical Interpretation of Quantum Mechanics
• Quantum and classical descriptions of a measuring apparatus
• Pointer basis of quantum apparatus: Into what mixture does the wave packet collapse?
• Completely positive dynamical semigroups of N-level systems
• Quantum detection and estimation theory
• Relativistic Quantum Events
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Quantum Privacy Amplification and the Security of Quantum Cryptography over Noisy Channels
• Environment-induced superselection rules
• Classical interventions in quantum systems. II. Relativistic invariance
• Completely positive linear maps on complex matrices
• Quantum limits on noise in linear amplifiers
• Quantum Theory: Concepts and Methods
• Quantum Detection and Estimation Theory
• Against ‘measurement’

Cited by

• Classical interventions in quantum systems. II. Relativistic invariance
• Quantum information and relativity theory