Matchgate quantum computing and non-local process analysis

Ramelow, S., Fedrizzi, A., Steinberg, A. M. and White, A. G. (2010) Matchgate quantum computing and non-local process analysis. New Journal of Physics, 12 8: 083027-1-083027-11. doi:10.1088/1367-2630/12/8/083027

Author Ramelow, S.
Fedrizzi, A.
Steinberg, A. M.
White, A. G.
Title Matchgate quantum computing and non-local process analysis
Journal name New Journal of Physics   Check publisher's open access policy
ISSN 1367-2630
Publication date 2010-08-01
Year available 2010
Sub-type Article (original research)
DOI 10.1088/1367-2630/12/8/083027
Open Access Status DOI
Volume 12
Issue 8
Start page 083027-1
End page 083027-11
Total pages 11
Editor Eberhard Bodenschatz
Place of publication Temple Back, Bristol, U.K.
Publisher Institute of Physics Publishing
Language eng
Abstract In the circuit model, quantum computers rely on the availability of a universal quantum gate set. A particularly intriguing example is a set of two-qubit-only gates: 'matchgates', along with SWAP (the exchange of two qubits). In this paper, we show a simple decomposition of arbitrary matchgates into better-known elementary gates and implement a matchgate in a single-photon linear optics experiment. The gate performance is fully characterized via quantum process tomography. Moreover, we represent the resulting reconstructed quantum process in a novel way, as a fidelity map in the space of all possible non-local two-qubit unitaries. We propose the nonlocal distance-which is independent of local imperfections such as uncorrected noise or uncompensated local rotations-as a new diagnostic process measure for the non-local properties of the implemented gate. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
Keyword Controlled-not gate
Classical simulation
Q-Index Code C1
Q-Index Status Confirmed Code
Grant ID W1210-N16
Institutional Status UQ
Additional Notes Article no: 083027

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2011 Collection
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Citation counts: TR Web of Science Citation Count  Cited 3 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 3 times in Scopus Article | Citations
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Created: Sun, 12 Sep 2010, 10:01:43 EST