An Operator Algebraic Formulation of the Stabilizer Formalism for Quantum Error Correction
We give an operator algebraic formulation of the stabilizer formalism for error correction in quantum computing. The approach relies on an analysis of commutant structures, and gives a natural extension of the classic stabilizer formalism to the general case of arbitrary (not necessarily abelian) Pauli subgroups and subsystem codes. We show how to identify the largest stabilizer subsystem for every Pauli subgroup and discuss examples.
- Nathaniel Johnston
- David Kribs
- Ching-Wei Teng
- Published in Acta Applicandae in January 2009
- N. Johnston, D. W. Kribs and C.-W. Teng, An Operator Algebraic Formulation of the Stabilizer Formalism for Quantum Error Correction. Acta Applicandae 108 3, 687–696 (2009).