Scaling and renormalization in fault-tolerant quantum computers

Details Scaling and renormalization in fault-tolerant quantum computers Scaling and renormalization in fault-tolerant quantum computers

2003-07-23

arxiv.org/abs/quant-ph/0307166v2

Quantum Inf. Processing 2, 249-258 (2003)

Physics

Quantum Physics

4 pages, 2 eps figures; revtex4; based on talk given at the Simons Conference on Quantum and Reversible Computation, Stony Bro

Scientific paper

10.1023/B:QINP.0000004127.09741.

This work is concerned with phrasing the concepts of fault-tolerant quantum computation within the framework of disordered systems, Bernoulli site percolation in particular. We show how the so-called "threshold theorems" on the possibility of fault-tolerant quantum computation with constant error rate can be cast as a renormalization (coarse-graining) of the site percolation process describing the occurrence of errors during computation. We also use percolation techniques to derive a trade-off between the complexity overhead of the fault-tolerant circuit and the threshold error rate.

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