All (qubit) decoherences: Complete characterization and physical implementation

2005/05/10 by Mário Ziman, Mario Ziman, Vladimír Bužek +1 · 6 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physreva.72.022110

published as Phys.Rev.A 72, 022110 (2005) · 10 pages, 3 figures

arxiv created 2005/05/10 · openalex publication_date 2005/08/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

We investigate decoherence channels that are modeled as a sequence of collisions of a quantum system (e.g., a qubit) with particles (e.g., qubits) of the environment. We show that collisions induce decoherence when a bipartite interaction between the system qubit and an environment (reservoir) qubit is described by the controlled-U unitary transformation (gate). We characterize decoherence channels and in the case of a qubit we specify the most general decoherence channel and derive a corresponding master equation. Finally, we analyze entanglement that is generated during the process of decoherence between the system and its environment.

Citations

• Three qubits can be entangled in two inequivalent ways
• Entanglement of Formation of an Arbitrary State of Two Qubits
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Decoherence, einselection, and the quantum origins of the classical
• Distributed Entanglement

Cited by

• On some classes of bipartite unitary operators
• Optimality of private quantum channels
• Collision Models Can Efficiently Simulate Any Multipartite Markovian Quantum Dynamics
• Decoherence effects on the quantum spin channels
• All-optical non-Markovian stroboscopic quantum simulator
• A quantum non-Markovian collision model: incoherent swap case