Physics – Quantum Physics
Scientific paper
2004-11-05
Physics
Quantum Physics
Includes 10 Figures and a Table. Accepted in I.J.Q.I
Scientific paper
The states needed in a quantum computation are extremely affected by decoherence. Several methods have been proposed to control error spreading. They use two main tools: fault-tolerant constructions and concatenated quantum error correcting codes. In this work, we estimate the threshold conditions necessary to make a long enough quantum computation. The [[7,1,3]] CSS quantum code, together with the Shor method to measure the error syndrome is used. No concatenation is included. The decoherence is introduced by means of the depolarizing channel error model, obtaining several thresholds from the numerical simulation. Regarding the maintenance of a qubit stabilized in the memory, the error probability must be smaller than 2.9 10-5. In order to implement a one or two qubit encoded gate in an effective fault-tolerant way, it is possible to choose an adequate non-encoded noisy gate if the memory error probability is smaller than 1.3 10-5. In addition, fulfilling this last condition permits us to assume a more efficient behaviour compared to the equivalent non-encoded process.
Salas Pedro J.
Sanz Angel L.
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