Control of trapped-ion quantum states with optical pulses

Details Control of trapped-ion quantum states with optical pulses Control of trapped-ion quantum states with optical pulses

2004-01-07

arxiv.org/abs/quant-ph/0401032v1

Physical Review Letters 92, 113004 (2004).

Physics

Quantum Physics

Submitted to Physical Review Letters

Scientific paper

10.1103/PhysRevLett.92.113004

We present new results on the quantum control of systems with infinitely large Hilbert spaces. A control-theoretic analysis of the control of trapped ion quantum states via optical pulses is performed. We demonstrate how resonant bichromatic fields can be applied in two contrasting ways -- one that makes the system completely uncontrollable, and the other that makes the system controllable. In some interesting cases, the Hilbert space of the qubit-harmonic oscillator can be made finite, and the Schr\"{o}dinger equation controllable via bichromatic resonant pulses. Extending this analysis to the quantum states of two ions, a new scheme for producing entangled qubits is discovered.

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