dorsal/arxiv
View SchemaAutomatical generation of nonadiabatic conditional geometric phase shift via a noncoplanar fiber system
| Authors | Jian Qi Shen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0403198 |
| URL | https://arxiv.org/abs/quant-ph/0403198 |
Abstract
A new scheme of realizing the nonadiabatic conditional geometric phase shift via a noncoplanar (and coiled) fiber system is presented in this Letter. It is shown that the effective Hamiltonian that describes the interaction of polarized photons with the fiber medium is just the Wang-Keiji type of Hamiltonian. This, therefore, means that the coiled fiber system may be an ideal implementation of realizing the nonadiabatic geometric phase gates for the topological quantum computation. The remarkable feature of the present method is that it can automatically meet the conditions and requirements proposed in the Wang-Keiji scheme: (i) in the coiled fiber system, the dynamical phase of photon wavefunction caused by the interaction Hamiltonian automatically vanishes; (ii) the Wang-Keiji requirement for the parameters in the Wang-Keiji Hamiltonian can be exactly satisfied automatically in the fiber system; (iii) the conditional initial state can be easily achieved by manipulating the initial wave vector of polarized photons. Due to these three advantages, the coiled fiber system may be a potentially practical way of achieving the nonadiabatic conditional geometric phase shift (and hence the nonadiabatic geometric quantum gates).
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"abstract": "A new scheme of realizing the nonadiabatic conditional geometric phase shift\nvia a noncoplanar (and coiled) fiber system is presented in this Letter. It is\nshown that the effective Hamiltonian that describes the interaction of\npolarized photons with the fiber medium is just the Wang-Keiji type of\nHamiltonian. This, therefore, means that the coiled fiber system may be an\nideal implementation of realizing the nonadiabatic geometric phase gates for\nthe topological quantum computation. The remarkable feature of the present\nmethod is that it can automatically meet the conditions and requirements\nproposed in the Wang-Keiji scheme: (i) in the coiled fiber system, the\ndynamical phase of photon wavefunction caused by the interaction Hamiltonian\nautomatically vanishes; (ii) the Wang-Keiji requirement for the parameters in\nthe Wang-Keiji Hamiltonian can be exactly satisfied automatically in the fiber\nsystem; (iii) the conditional initial state can be easily achieved by\nmanipulating the initial wave vector of polarized photons. Due to these three\nadvantages, the coiled fiber system may be a potentially practical way of\nachieving the nonadiabatic conditional geometric phase shift (and hence the\nnonadiabatic geometric quantum gates).",
"arxiv_id": "quant-ph/0403198",
"authors": [
"Jian Qi Shen"
],
"categories": [
"quant-ph"
],
"title": "Automatical generation of nonadiabatic conditional geometric phase shift via a noncoplanar fiber system",
"url": "https://arxiv.org/abs/quant-ph/0403198"
},
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