Implementation of the three-qubit phase-flip error correction code with superconducting qubits

L. Tornberg*, M. Wallquist, G. Johansson, V. S. Shumeiko, G. Wendin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We investigate the performance of a three-qubit error correcting code in the framework of superconducting qubit implementations. Such a code can recover a quantum state perfectly in the case of dephasing errors but only in situations where the dephasing rate is low. Numerical studies in previous work have however shown that the code does increase the fidelity of the encoded state even in the presence of high error probability, during both storage and processing. In this work we give analytical expressions for the fidelity of such a code. We consider two specific schemes for qubit-qubit interaction realizable in superconducting systems; one σz σz coupling and one cavity-mediated coupling. With these realizations in mind, and considering errors during storing as well as processing, we calculate the maximum operation time allowed in order to still benefit from the code. We show that this limit can be reached with current technology.

Original languageEnglish
Article number214528
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number21
StatePublished - 27 Jun 2008
Externally publishedYes


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