Details
| Original language | English |
|---|---|
| Article number | 199 |
| Journal | New journal of physics |
| Volume | 9 |
| Publication status | Published - 29 Jun 2007 |
| Externally published | Yes |
Abstract
We describe a fault-tolerant version of the one-way quantum computer using a cluster state in three spatial dimensions. Topologically protected quantum gates are realized by choosing appropriate boundary conditions on the cluster. We provide equivalence transformations for these boundary conditions that can be used to simplify fault-tolerant circuits and to derive circuit identities in a topological manner. The spatial dimensionality of the scheme can be reduced to two by converting one spatial axis of the cluster into time. The error threshold is 0.75% for each source in an error model with preparation, gate, storage and measurement errors. The operational overhead is poly-logarithmic in the circuit size.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: New journal of physics, Vol. 9, 199, 29.06.2007.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Topological fault-tolerance in cluster state quantum computation
AU - Raussendorf, R.
AU - Harrington, J.
AU - Goyal, K.
PY - 2007/6/29
Y1 - 2007/6/29
N2 - We describe a fault-tolerant version of the one-way quantum computer using a cluster state in three spatial dimensions. Topologically protected quantum gates are realized by choosing appropriate boundary conditions on the cluster. We provide equivalence transformations for these boundary conditions that can be used to simplify fault-tolerant circuits and to derive circuit identities in a topological manner. The spatial dimensionality of the scheme can be reduced to two by converting one spatial axis of the cluster into time. The error threshold is 0.75% for each source in an error model with preparation, gate, storage and measurement errors. The operational overhead is poly-logarithmic in the circuit size.
AB - We describe a fault-tolerant version of the one-way quantum computer using a cluster state in three spatial dimensions. Topologically protected quantum gates are realized by choosing appropriate boundary conditions on the cluster. We provide equivalence transformations for these boundary conditions that can be used to simplify fault-tolerant circuits and to derive circuit identities in a topological manner. The spatial dimensionality of the scheme can be reduced to two by converting one spatial axis of the cluster into time. The error threshold is 0.75% for each source in an error model with preparation, gate, storage and measurement errors. The operational overhead is poly-logarithmic in the circuit size.
UR - http://www.scopus.com/inward/record.url?scp=34547304796&partnerID=8YFLogxK
U2 - 10.1088/1367-2630/9/6/199
DO - 10.1088/1367-2630/9/6/199
M3 - Article
AN - SCOPUS:34547304796
VL - 9
JO - New journal of physics
JF - New journal of physics
SN - 1367-2630
M1 - 199
ER -