Quantum error avoiding codes versus quantum error correcting codes

Abstract

A general theory of quantum error avoiding codes is established, and new light is shed on the relation between quantum error avoiding and correcting codes. Quantum error avoiding codes are found to be a special type of highly degenerate quantum error correcting codes. A combination of the ideas of correcting and avoiding quantum errors may yield better codes. We give a practical example.

13 pages, latex

References in corpus (5)

• Decoherence Free Subspaces for Quantum Computation
• Error correction for continuous quantum variables
• Analog quantum error correction
• Prevention of dissipation with two particles
• Optimal quantum codes for preventing collective amplitude damping

Cited by in corpus (6)

• Theory of Decoherence-Free Fault-Tolerant Universal Quantum Computation
• Decoherence-Free Subspaces and Subsystems
• Decoherence-Free Subspaces for Multiple-Qubit Errors: (II) Universal, Fault-Tolerant Quantum Computation
• Decoherence, Control, and Symmetry in Quantum Computers
• Error prevention scheme with two pairs of qubits
• Generalized Noiseless Quantum Codes utilizing Quantum Enveloping Algebras