QUANTUM MULTIPOLE NOISE AND GENERALIZED QUANTUM STOCHASTIC EQUATIONS

2002/02/28 by Alexander Pechen, A. N. Pechen, И. В. Волович +1 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1142/s0219025702000857

published as Infinite Dimensional Analysis, Quantum Probability and Related Topics, Vol. 5, No 4 (2002) 441-464 · Replaced with version published in IDAQP. Terminology is changed

openalex publication_date 2002/12/01 · arxiv created 2003/01/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A notion of quantum multipole (in particular, dipole) noise is considered. Quantum dipole noise is an analogue of quantum white noise but it acts in a Fock space with indefinite metric. Quantum white noise describes the leading term in the stochastic limit approximation to quantum dynamics while quantum multipole noise describes the corrections to the leading term. We obtain and study the generalized quantum stochastic equations describing corrections to the stochastic limit which include quantum dipole noise.

Citations

• Dynamics of the dissipative two-state system

Cited by

• The Central Limit Theorem for random exponents on a Hilbert space in the Weak Operator Topology
• The Strong Law of Large Numbers for random semigroups on uniformly smooth Banach spaces

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