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Scaling and renormalization in fault-tolerant quantum computers

Maxim Raginsky
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Abstract

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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BibTeXRIS

Maxim Raginsky. 2003-09-04. Scaling and renormalization in fault-tolerant quantum computers. https://doi.org/10.1023/b%3Aqinp.0000004127.09741.9b

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