Efficient Toffoli gates using qudits

Ralph, T. C., Resch, K. J. and Gilchrist, A. (2007) Efficient Toffoli gates using qudits. Physical Review A, 75 2: 022313-1-022313-5. doi:10.1103/PhysRevA.75.022313

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Author Ralph, T. C.
Resch, K. J.
Gilchrist, A.
Title Efficient Toffoli gates using qudits
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2007-02-16
Year available 2007
Sub-type Article (original research)
DOI 10.1103/PhysRevA.75.022313
Open Access Status File (Publisher version)
Volume 75
Issue 2
Start page 022313-1
End page 022313-5
Total pages 5
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2008
Language eng
Abstract The simplest decomposition of a Toffoli gate acting on 3 qubits requires five 2-qubit gates. If we restrict ourselves to controlled-sign (or controlled-NOT) gates this number climbs to 6. We show that the number of controlled-sign gates required to implement a Toffoli gate can be reduced to just 3 if one of the three quantum systems has a third state that is accessible during the computation-i.e., is actually a qutrit. Such a requirement is not unreasonable or even atypical since we often artificially enforce a qubit structure on multilevel quantums systems (e.g., atoms, photonic polarization plus spatial modes). We explore the implementation of these techniques in optical quantum processing and show that linear optical circuits could operate with much higher probabilities of success.
Keyword Optics
Q-Index Code C1
Q-Index Status Confirmed Code

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Created: Tue, 22 Apr 2008, 11:17:26 EST by Anna Rogers on behalf of ARC Ctr of Excell for Quantum Computer Technology