2007/07/31 by Filippo Caruso, Vittorio Giovannetti
Computer Science · Mathematics · Physics and Astronomy · #Analogy #Characterization (materials science) #Combinatorics #Computer science #Context (archaeology) #Function (biology) #Gaussian #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Qubit #Set (abstract data type) #Statistical physics #Topology (electrical circuits) #cond-mat.other #quant-ph
paper · pdf · doi:10.1103/physreva.76.042331
published as Physical Review A 76, 042331 (2007) · 10 pages (minor editing)
openalex publication_date 2007/10/24 · arxiv created 2007/10/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A characterization of qubit quantum channels is introduced. In analogy to what happens in the context of bosonic channels we exploit the possibility of representing the states of the system in terms of characteristic function. The latter are functions of noncommuting variables (Grassmann variables) and are defined in terms of generalized displacement operators. In this context we introduce the set of Gaussian channels and show that they share similar properties with the corresponding bosonic counterpart.