dorsal/arxiv
View SchemaControl of trapped-ion quantum states with optical pulses
| Authors | C. Rangan, A. M. Bloch, C. Monroe, P. H. Bucksbaum |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0401032 |
| URL | https://arxiv.org/abs/quant-ph/0401032 |
| DOI | 10.1103/PhysRevLett.92.113004 |
| Journal | Physical Review Letters 92, 113004 (2004). |
Abstract
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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"abstract": "We present new results on the quantum control of systems with infinitely\nlarge Hilbert spaces. A control-theoretic analysis of the control of trapped\nion quantum states via optical pulses is performed. We demonstrate how resonant\nbichromatic fields can be applied in two contrasting ways -- one that makes the\nsystem completely uncontrollable, and the other that makes the system\ncontrollable. In some interesting cases, the Hilbert space of the\nqubit-harmonic oscillator can be made finite, and the Schr\\\"{o}dinger equation\ncontrollable via bichromatic resonant pulses. Extending this analysis to the\nquantum states of two ions, a new scheme for producing entangled qubits is\ndiscovered.",
"arxiv_id": "quant-ph/0401032",
"authors": [
"C. Rangan",
"A. M. Bloch",
"C. Monroe",
"P. H. Bucksbaum"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.92.113004",
"journal_ref": "Physical Review Letters 92, 113004 (2004).",
"title": "Control of trapped-ion quantum states with optical pulses",
"url": "https://arxiv.org/abs/quant-ph/0401032"
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