An Operator Algebraic Formulation of the Stabilizer Formalism for Quantum Error Correction
Abstract:
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.
Authors:
- Nathaniel Johnston
- David Kribs
- Ching-Wei Teng
Download:
- Official publication from Acta Applicandae
- Local preprint [pdf]
Status:
- Published in Acta Applicandae in January 2009
Cite as:
- 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).