1998/12/28 by Michael B. Mensky, Mensky, Michael B.
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/9812078
10 pages, LATEX, 4 figures in EPS, to be published in Proceed. of the conference "Decoherence: Theoretical, Experimental and Conceptual Problems", Bielefeld, Germany, November 1998
arxiv created 1998/12/28 · openalex publication_date 1998/12/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Decoherence of a quantum system induced by the interaction with its environment (measuring medium) may be presented phenomenologically as a continuous (or repeated) fuzzy quantum measurement. The dynamics of the system subject to continuous decoherence (measurement) may be described by the complex-Hamiltonian Schroedinger equation, stochastic Schroedinger equation of a certain type or (nonselectively) by the Lindblad master equation. The formulation of this dynamics with the help of restricted path integrals shows that the dynamics of the measured system depends only on the information recorded in the environment. With the help of the complex-Hamiltonian Schroedinger equation, monitoring a quantum transition is shown to be possible, at the price of decreasing the transition probability (weak Zeno effect). The monitoring of the level transition may be realized by a long series of short weak observations of the system which resulting in controllable slow decoherence.