Simple non-Markovian microscopic models for the depolarizing channel of a single qubit

2012/02/29 by K. M. Fonseca Romero, K. M. Fonseca-Romero, Rosario Lo Franco +1 · 27 citations
Computer Science · Mathematics · Physics and Astronomy · #Amplitude #Biophysics #Channel (broadcasting) #Computer science #Depolarization #Markov process #Mathematics #Phase (matter) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Qubit #Simple (philosophy) #Statistical physics #Telecommunications #quant-ph

paper · pdf · doi:10.1088/0031-8949/86/06/065004

published in Physica Scripta 86(6), 065004 (IOP Publishing) · 13 pages, 2 figures. Title corrected. Paper rewritten. Added references. Some typos and errors corrected. Author added

openalex publication_date 2012/11/07 · arxiv created 2012/11/09 · arxiv updated 2012/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

The archetypal one-qubit noisy channels—depolarizing, phase-damping and amplitude-damping channels—describe both Markovian and non-Markovian evolution. Simple microscopic models for the depolarizing channel, both classical and quantum, are considered. Microscopic models that describe phase-damping and amplitude-damping channels are briefly reviewed.

Citations

• Non-Markovian dynamics of a qubit
• Genuine quantum trajectories for non-Markovian processes
• Completely positive dynamical semigroups of N-level systems
• Complete disentanglement by partial pure dephasing
• A Single-Atom Quantum Memory
• Finding the Kraus decomposition from a master equation and vice versa
• Quantum computers and dissipation
• Minimal qudit code for a qubit in the phase-damping channel