Year: 2007
Type: article
Abstract: We consider a model of quantum computation in which the set of operations is limited to nearest-neighbor interactions on a 2D lattice. We model movement of qubits with noisy \SWAP\ operations. For this architecture we design a fault-tolerant coding scheme using the concatenated $[[7,1,3]]$ Steane code. Our scheme is potentially applicable to ion-trap and solid-state quantum technologies. We calculate a lower bound on the noise threshold for our local model using a detailed failure probability analysis. We obtain a threshold of $1.85 \times 10^{-5}$ for the local setting, where memory error rates are one-tenth of the failure rates of gates, measurement, and preparation steps. For the analogous nonlocal setting, we obtain a noise threshold of $3.61 \times 10^{-5}$. Our results thus show that the additional \SWAP\ operations required to move qubits in the local model affect the noise threshold only moderately.
DOI: 10.26421/qic7.4-2
Authors: K.M. Svore, D.P. DiVincenzo, B.M. Terhal
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2952324312