Universal construction of controlled-unitary gates using dynamical decoupling and the quantum Zeno effect
- Department of Physics, Graduate School of Science, The University of Tokyo, 7-3-1 Hongo, Bunkyoku, Tokyo 113-0033 (Japan)
- Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117543 Singapore (Singapore)
- Department of Physics, Graduate School of Science, The University of Tokyo, 7-3-1 Hongo, Bunkyoku, Tokyo 113-0033 Japan and Institute for Nano Quantum Information Electronics, University of Tokyo, Tokyo 153-8505 (Japan)
We present two new algorithms that universally construct a quantum circuit approximating a controlled-U(t) up to a global phase factor of U(t), denoted by Λ{sub θ}U(t), where U(t) = e{sup −iHt} is the unitary evolution operator of an unknown Hamiltonian H of the system, and is given as a black box with tunable parameter t. We show that it is possible to approximately construct Λ{sub θ}U(t) with arbitrarily high accuracy. This algorithm is based on the dynamical decoupling effect [1]. If another black box consisting of a time-inverted version of U(t), namely U(−t), is also available we can implement Λ{sub θ}U(t) exactly with arbitrarily high success probability. This algorithm is based on the quantum Zeno effect.
- OSTI ID:
- 22390682
- Journal Information:
- AIP Conference Proceedings, Vol. 1633, Issue 1; Conference: 11. International Conference on Quantum Communication, Measurement and Computation, Vienna (Austria), 30 Jul - 3 Aug 2012; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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