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Decoherence-Free Subspaces and Subsystems for a Collectively Depolarizing Bosonic Channel

2005/05/31 by Jonathan L. Ball, Konrad Banaszek · 2 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum optics and atomic interactions #quant-ph

paper · pdf · doi:10.1007/s11080-005-5723-1

published as Open Syst. Inf. Dyn. 12, 121 (2005) · 13 pages, osid.sty

openalex publication_date 2005/05/31 · arxiv created 2005/06/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss the structure of decoherence-free subsystems for a bosonic channel affected by collective depolarization. A single use of the channel is defined as a transmission of a pair of bosonic modes. Collective depolarization consists in a random linear U(2) transformation of the respective mode operators, which is assumed to be identical for N consecutive uses of the channel. We derive a recursion formula that characterizes the dimensionality of available decoherence-free subsystems in such a setting.

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