A method to find quantum noiseless subsystems

Details A method to find quantum noiseless subsystems A method to find quantum noiseless subsystems

2005-07-21

arxiv.org/abs/quant-ph/0507213v2

Phys. Rev. Lett., 96, 050501 (2006).

Physics

Quantum Physics

5 pages, to appear in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.96.050501

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.

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