Eur. Phys. J. D 36, 241-248 (2005)
https://doi.org/10.1140/epjd/e2005-00252-0

Suppressing decoherence of quantum algorithms by jump codes

Institut für Angewandte Physik, Technische Universität Darmstadt, 64289 Darmstadt, Germany

Corresponding author: ^a gernot.alber@physik.tu-darmstadt.de

Received: 11 April 2005
Revised: 22 July 2005
Published online: 13 September 2005

Abstract

The stabilizing properties of one-error correcting jump codes are explored under the realistic non-ideal condition of finite recovery times. For this purpose the quantum algorithm of the tent-map is decomposed into a universal set of Hamiltonian quantum gates which ensure perfect correction of spontaneous decay processes under ideal circumstances even if they occur during a gate operation. An entanglement gate is presented which is capable of entangling any two logical qubits of different one-error correcting code spaces. With the help of this gate simultaneous spontaneous decay processes affecting physical qubits of different code spaces can be corrected and decoherence can be suppressed significantly.