Efficient Toffoli gates using qudits
- Centre for Quantum Computer Technology, University of Queensland, Brisbane 4072, QLD (Australia)
- Department of Physics, University of Queensland, Brisbane 4072, QLD (Australia)
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.
- OSTI ID:
- 20982080
- Journal Information:
- Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 75; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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