Non-adiabatic Arbitary Geometric Gates in 2-qubit NMR Model

Details Non-adiabatic Arbitary Geometric Gates in 2-qubit NMR Model Non-adiabatic Arbitary Geometric Gates in 2-qubit NMR Model

2006-07-06

arxiv.org/abs/quant-ph/0607041v3

Physics

Quantum Physics

7 pages, 1 figure

Scientific paper

10.1142/S0217984907013353

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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