dorsal/arxiv
View SchemaNon-adiabatic Arbitary Geometric Gates in 2-qubit NMR Model
| Authors | Yu Tong, Ruibao Tao |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607041 |
| URL | https://arxiv.org/abs/quant-ph/0607041 |
| DOI | 10.1142/S0217984907013353 |
Abstract
We study a 2-qubit nuclear spin system for realizing an arbitrary geometric quantum phase gate by means of non-adiabatic operation. A single magnetic pulse with multi harmonic frequencies is applied to manipulate the quantum states of 2-qubit instantly. Using resonant transition approximation, the time dependent Hamiltonian of two nuclear spins can be solved analytically. The time evolution of the wave function is obtained without adiabatic approximation. The parameters of magnetic pulse, such as the frequency, amplitude, phase of each harmonic part as well as the time duration of the pulse, are determined for achieving an arbitrary non-adiabatic geometric phase gate. The derivation of non-adiabatic geometric controlled phase gates and A-A phase are also addressed.
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"abstract": "We study a 2-qubit nuclear spin system for realizing an arbitrary geometric\nquantum phase gate by means of non-adiabatic operation. A single magnetic pulse\nwith multi harmonic frequencies is applied to manipulate the quantum states of\n2-qubit instantly. Using resonant transition approximation, the time dependent\nHamiltonian of two nuclear spins can be solved analytically. The time evolution\nof the wave function is obtained without adiabatic approximation. The\nparameters of magnetic pulse, such as the frequency, amplitude, phase of each\nharmonic part as well as the time duration of the pulse, are determined for\nachieving an arbitrary non-adiabatic geometric phase gate. The derivation of\nnon-adiabatic geometric controlled phase gates and A-A phase are also\naddressed.",
"arxiv_id": "quant-ph/0607041",
"authors": [
"Yu Tong",
"Ruibao Tao"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/S0217984907013353",
"title": "Non-adiabatic Arbitary Geometric Gates in 2-qubit NMR Model",
"url": "https://arxiv.org/abs/quant-ph/0607041"
},
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