Abstract

To combat qubit errors originating from unwanted but unavoidable interaction with the quantum channel, quantum-error-correcting code can be used. A code that will protect a logical qubit from any single bit flip, phase flip, or combination of both is called a Pauli code. It has been shown that the shortest such code codes a logical qubit onto five physical qubits. However, errors caused by dissipation (involving a reservoir ancilla) cannot be exactly corrected by such codes, and therefore codes that can only approximately correct for such errors have been developed [1]. In spite of typically only correcting to first order in the dissipation, they work very well.

© 2009 IEEE