dc.contributor.author | Lai, Ching-Yi | |
dc.contributor.author | Paz, Gerardo | |
dc.contributor.author | Suchara, Martin | |
dc.contributor.author | Brun, Todd | |
dc.date.accessioned | 2018-02-12T04:00:10Z | |
dc.date.available | 2018-02-12T04:00:10Z | |
dc.date.issued | 2014 | |
dc.identifier.issn | 1533-7146 | |
dc.identifier.uri | http://hdl.handle.net/10072/173264 | |
dc.description.abstract | Knill demonstrated a fault-tolerant quantum computation scheme based on concatenated
error-detecting codes and postselection with a simulated error threshold of 3% over the
depolarizing channel. We show how to use Knill’s postselection scheme in a practical
two-dimensional quantum architecture that we designed with the goal to optimize the
error correction properties, while satisfying important architectural constraints. In our
2D architecture, one logical qubit is embedded in a tile consisting of 5×5 physical qubits.
The movement of these qubits is modeled as noisy SWAP gates and the only physical
operations that are allowed are local one- and two-qubit gates. We evaluate the practical
properties of our design, such as its error threshold, and compare it to the concatenated
Bacon-Shor code and the concatenated Steane code. Assuming that all gates have the
same error rates, we obtain a threshold of 3.06 × 10−4
in a local adversarial stochastic
noise model, which is the highest known error threshold for concatenated codes in 2D.
We also present a Monte Carlo simulation of the 2D architecture with depolarizing noise
and we calculate a pseudo-threshold of about 0.1%. With memory error rates one-tenth
of the worst gate error rates, the threshold for the adversarial noise model, and the
pseudo-threshold over depolarizing noise, are 4.06 × 10−4 and 0.2%, respectively. In a
hypothetical technology where memory error rates are negligible, these thresholds can
be further increased by shrinking the tiles into a 4 × 4 layout. | |
dc.description.peerreviewed | Yes | |
dc.language | English | |
dc.language.iso | eng | |
dc.publisher | Rinton Press, Inc. | |
dc.publisher.uri | http://www.rintonpress.com/journals/qiconline.html#v14n910 | |
dc.relation.ispartofpagefrom | 807 | |
dc.relation.ispartofpageto | 822 | |
dc.relation.ispartofissue | 9-10 | |
dc.relation.ispartofjournal | Quantum Information and Computation | |
dc.relation.ispartofvolume | 14 | |
dc.subject.fieldofresearch | Quantum physics | |
dc.subject.fieldofresearch | Quantum physics not elsewhere classified | |
dc.subject.fieldofresearchcode | 5108 | |
dc.subject.fieldofresearchcode | 510899 | |
dc.title | Performance and Error Analysis of Knill's Postselection Scheme in a Two-Dimensional Architecture | |
dc.type | Journal article | |
dc.type.description | C1 - Articles | |
dc.type.code | C - Journal Articles | |
gro.rights.copyright | © 2014 Rinton Press, Inc. The attached file is reproduced here in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version. | |
gro.hasfulltext | Full Text | |
gro.griffith.author | Paz Silva, Gerardo A. | |