In this short review, I draw attention to new developments in the theory of fault tolerance in
quantum computation that may give concrete direction to future work in the development of …

Gapped phases of noninteracting fermions, with and without charge conservation and time‐
reversal symmetry, are classified using Bott periodicity. The symmetry and spatial dimension …

The surface code scheme for quantum computation features a 2d array of nearest-neighbor
coupled qubits yet claims a threshold error rate approaching 1%(NJoP 9: 199, 2007). This …

The development of a large scale quantum computer is a highly sought after goal of
fundamental research and consequently a highly non-trivial problem. Scalability in quantum …

Due to very high projected error rates, large scale quantum computers will require
substantial fault tolerance just to maintain a minimum level of reliability. We present tools to …

arXiv:0905.2794v2 [quant-ph] 5 Jun 2009 Page 1 The idiots guide to Quantum Error Correction.
Simon J. Devitt∗ and Kae Nemoto National Institute of Informatics, 2-1-2 Hitotsubashi …

Quantum information processed in strongly correlated states of matter can provide built in
hardware protection against errors. We may encode information in highly non local degrees …

In this work, we describe a method to achieve fault tolerant measurement based quantum
computation in two and three dimensions. The proposed scheme has an threshold of 7.8× …