dorsal/arxiv
View SchemaInfluence of Non-Resonant Effects on the Dynamics of Quantum Logic Gates at Room Temperature
| Authors | G. P. Berman, A. R. Bishop, G. D. Doolen, G. V. Lopez, V. I. Tsifrinovich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9906109 |
| URL | https://arxiv.org/abs/quant-ph/9906109 |
Abstract
We study numerically the influence of non-resonant effects on the dynamics of a single $\pi$-pulse quantum CONTROL-NOT (CN) gate in a macroscopic ensemble of fo ur-spin molecules at room temperature. The four nuclear spins in each molecule r epresent a four-qubit register. The qubits are ``labeled'' by the characteristic frequencies, $\omega_k$, ($k=0$ to 3) due to the Zeeman interaction of the nuclear spins with the magnetic field. The qubits interact with each other through an Ising interaction of strength $J$. T he paper examines the feasibility of implementing a single-pulse quantum CN gate in an ensemble of quantum molecules at room temperature. We determine a paramet er region, $\omega_k$ and $J$, in which a single-pulse quantum CN gate can be i mplemented at room temperature. We also show that there exist characteristic cri tical values of parameters, $\Delta\omega_{cr}\equiv|\omega_{k^\prime}-\omega_k|_{cr}$ and $J_{cr}$, such that for $J<J_{cr}$ and $\Delta\omega_k\equiv|\omega_{k^\prime}-\omega_k|<\Delta\omega_{cr}$, non-resonant effects are sufficient to d estroy the dynamics required for quantum logic operations.
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"abstract": "We study numerically the influence of non-resonant effects on the dynamics of\na single $\\pi$-pulse quantum CONTROL-NOT (CN) gate in a macroscopic ensemble of\nfo ur-spin molecules at room temperature. The four nuclear spins in each\nmolecule r epresent a four-qubit register. The qubits are ``labeled\u0027\u0027 by the\ncharacteristic frequencies, $\\omega_k$, ($k=0$ to 3) due to the Zeeman\ninteraction of the nuclear spins with the magnetic field. The qubits interact\nwith each other through an Ising interaction of strength $J$. T he paper\nexamines the feasibility of implementing a single-pulse quantum CN gate in an\nensemble of quantum molecules at room temperature. We determine a paramet er\nregion, $\\omega_k$ and $J$, in which a single-pulse quantum CN gate can be i\nmplemented at room temperature. We also show that there exist characteristic\ncri tical values of parameters,\n$\\Delta\\omega_{cr}\\equiv|\\omega_{k^\\prime}-\\omega_k|_{cr}$ and $J_{cr}$, such\nthat for $J\u003cJ_{cr}$ and\n$\\Delta\\omega_k\\equiv|\\omega_{k^\\prime}-\\omega_k|\u003c\\Delta\\omega_{cr}$,\nnon-resonant effects are sufficient to d estroy the dynamics required for\nquantum logic operations.",
"arxiv_id": "quant-ph/9906109",
"authors": [
"G. P. Berman",
"A. R. Bishop",
"G. D. Doolen",
"G. V. Lopez",
"V. I. Tsifrinovich"
],
"categories": [
"quant-ph"
],
"title": "Influence of Non-Resonant Effects on the Dynamics of Quantum Logic Gates at Room Temperature",
"url": "https://arxiv.org/abs/quant-ph/9906109"
},
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