Influence of Non-Resonant Effects on the Dynamics of Quantum Logic Gates at Room Temperature

dc.creatorBerman, G. P.
dc.creatorBishop, A. R.
dc.creatorDoolen, G. D.
dc.creatorLopez, G. V.
dc.creatorTsifrinovich, V. I.
dc.date1999-06-28
dc.date.accessioned2026-07-07T06:16:43Z
dc.date.available2026-07-07T06:16:43Z
dc.descriptionWe study numerically the influence of non-resonant effects on the dynamics of a single $π$-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, $ω_k$, ($k=0$ 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, $ω_k$ 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, $Δω_{cr}\equiv|ω_{k^\prime}-ω_k|_{cr}$ and $J_{cr}$, such that for $J<J_{cr}$ and $Δω_k\equiv|ω_{k^\prime}-ω_k|<Δω_{cr}$, non-resonant effects are sufficient to d estroy the dynamics required for quantum logic operations.
dc.description14 pages, 7 postscript figures
dc.identifierhttps://arxiv.org/abs/quant-ph/9906109
dc.identifierhttp://arxiv.org/abs/quant-ph/9906109
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94149
dc.subjectQuantum Physics
dc.titleInfluence of Non-Resonant Effects on the Dynamics of Quantum Logic Gates at Room Temperature
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