Effect of ancilla's structure on quantum error correction using the 7-qubit Calderbank-Shor-Steane code
arXiv:quant-ph/0405012 · doi:10.1103/PhysRevA.69.052322
Abstract
In this work we discuss the ability of different types of ancillas to control the decoherence of a qubit interacting with an environment. The error is introduced into the numerical simulation via a depolarizing isotropic channel. After the correction we calculate the fidelity as a quality criterion for the qubit recovered. We observe that a recovery method with a three-qubit ancilla provides reasonable good results bearing in mind its economy. If we want to go further, we have to use fault-tolerant ancillas with a high degree of parallelism, even if this condition implies introducing new ancilla verification qubits.
24 pages, 10 Figures included. Accepted in Phys. Rev. A 2004
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