dorsal/arxiv
View SchemaVibrational coherent quantum computation
| Authors | Mauro Paternostro, M. S. Kim, P. L. Knight |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0405099 |
| URL | https://arxiv.org/abs/quant-ph/0405099 |
| DOI | 10.1103/PhysRevA.71.022311 |
| Journal | Phys. Rev. A 71, 022311 (2005). |
Abstract
A long-lived coherent state and non-linear interaction have been experimentally demonstrated for the vibrational mode of a trapped ion. We propose an implementation of quantum computation using coherent states of the vibrational modes of trapped ions. Differently from earlier experiments, we consider a far-off resonance for the interaction between external fields and the ion in a bidimensional trap. By appropriate choices of the detunings between the external fields, the adiabatic elimination of the ionic excited level from the Hamiltonian of the system allows for beam splitting between orthogonal vibrational modes, production of coherent states and non-linear interactions of various kinds. In particular, this model enables the generation of the four coherent Bell states. Furthermore, all the necessary operations for quantum computation such as preparation of qubits, one-qubit and controlled two-qubit operations, are possible. The detection of the state of a vibrational mode in a Bell state is made possible by the combination of resonant and off-resonant interactions between the ion and some external fields. We show that our read-out scheme provides highly efficient discrimination between all the four Bell states. We extend this to a quantum register composed of many individually trapped ions. In this case, operations on two remote qubits are possible through a cavity mode. We emphasize that our remote-qubit operation scheme does not require a high quality factor resonator: the cavity field acts as a catalyst for the gate operation.
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"abstract": "A long-lived coherent state and non-linear interaction have been\nexperimentally demonstrated for the vibrational mode of a trapped ion. We\npropose an implementation of quantum computation using coherent states of the\nvibrational modes of trapped ions. Differently from earlier experiments, we\nconsider a far-off resonance for the interaction between external fields and\nthe ion in a bidimensional trap. By appropriate choices of the detunings\nbetween the external fields, the adiabatic elimination of the ionic excited\nlevel from the Hamiltonian of the system allows for beam splitting between\northogonal vibrational modes, production of coherent states and non-linear\ninteractions of various kinds. In particular, this model enables the generation\nof the four coherent Bell states. Furthermore, all the necessary operations for\nquantum computation such as preparation of qubits, one-qubit and controlled\ntwo-qubit operations, are possible. The detection of the state of a vibrational\nmode in a Bell state is made possible by the combination of resonant and\noff-resonant interactions between the ion and some external fields. We show\nthat our read-out scheme provides highly efficient discrimination between all\nthe four Bell states. We extend this to a quantum register composed of many\nindividually trapped ions. In this case, operations on two remote qubits are\npossible through a cavity mode. We emphasize that our remote-qubit operation\nscheme does not require a high quality factor resonator: the cavity field acts\nas a catalyst for the gate operation.",
"arxiv_id": "quant-ph/0405099",
"authors": [
"Mauro Paternostro",
"M. S. Kim",
"P. L. Knight"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.022311",
"journal_ref": "Phys. Rev. A 71, 022311 (2005).",
"title": "Vibrational coherent quantum computation",
"url": "https://arxiv.org/abs/quant-ph/0405099"
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