Optimal control of entangling operations for trapped-ion quantum computing
- 13 January 2009
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 79 (1), 012312
- https://doi.org/10.1103/physreva.79.012312
Abstract
Optimal control techniques are applied for the decomposition of unitary quantum operations into a sequence of single-qubit gates and entangling operations. To this end, we modify a gradient-ascent algorithm developed for systems of coupled nuclear spins in molecules to make it suitable for trapped-ion quantum computing. We decompose unitary operations into entangling gates that are based on a nonlinear collective spin operator and complemented by global spin flip and local light shift gates. Among others, we provide explicit decompositions of controlled-NOT and Toffoli gates, and a simple quantum error correction protocol.Keywords
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