Method to Find Quantum Noiseless Subsystems

2005/07/31 by Man-Duen Choi, David W. Kribs · 2 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/physrevlett.96.050501

published as Phys. Rev. Lett., 96, 050501 (2006). · 5 pages, to appear in Physical Review Letters

arxiv created 2006/01/16 · openalex publication_date 2006/02/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop a structure theory for decoherence-free subspaces and noiseless subsystems that applies to arbitrary (not necessarily unital) quantum operations. The theory can be alternatively phrased in terms of the superoperator perspective, or the algebraic noise commutant formalism. As an application, we propose a method for finding all such subspaces and subsystems for arbitrary quantum operations. We suggest that this work brings the fundamental passive technique for error correction in quantum computing an important step closer to practical realization.

Citations

• A schwarz inequality for positive linear maps on C^∗-algebras
• Completely positive linear maps on complex matrices
• Classical and Quantum Communication without a Shared Reference Frame

Cited by

• Cryptography in a Quantum World
• Complementarity of private and correctable subsystems in quantum cryptography and error correction