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Journal of the Optical Society of America B

Implementing a high-efficiency quantum-controlled phase gate between long-distance atoms

Xiu‐Min Lin, Zheng-Wei Zhou, Ming-Yong Ye, Yun‐Feng Xiao, Guang‐Can Guo

Published Jul 1, 2005• 5 citations
Publisher

Abstract

We propose a scheme for the implementation of the quantum-controlled phase gate between distant atoms. Two special lasers adiabatically drive an atom trapped in a cavity that unidirectionally couples to the other cavity trapping an atom; then the phase gate between the two atoms is realized by introduction of measurement and local operations. The numerical simulations show that the quality factor of the gate operation is close to unity even if the atomic spontaneous emission is taken into account; the success probability approaches unity in principle.

DOI
10.1364/josab.22.001547

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We propose a scheme for the implementation of the quantum-controlled phase gate between distant atoms. Two special lasers adiabatically drive an atom trapped in a cavity that unidirectionally couples to the other cavity trapping an atom; then the phase gate between the two atoms is realized by introduction of measurement and local operations. The numerical simulations show that the quality factor of the gate operation is close to unity even if the atomic spontaneous emission is taken into account; the success probability approaches unity in principle.
Any quantum computation can be simplified to a gate sequence. But the quantum computation is carried out by a certain physical system. We propose here a scheme to carry out two-atom quantum controlled phase gate through cavity QED. In our scheme, the atomic transition is largely detuned with the cavity mode of interest, so the atomic spontaneous emission loss is strongly suppressed, and this leads to the enhancement of probability of gate operation. But fidelity is decided by constantsα,β,γ. The numerical calculation based on current experimental technology shows that our scheme has high gate fidelity, the average value of fidelity F = 0.982318. That scheme can be realized by experiment.
We propose a scheme for realization of three-qubit controlled-phase gate via passing two three-level atoms through a high-Q optical cavity in a cavity QED system. In the presented protocol, the two stable ground states of the atoms act as the two controlling qubits and the zero- and one-photon Fock states of the cavity-field form the target qubit, and no auxiliary state or any measurement is required. The numerical simulation shows that the gate fidelities remain at a high level under the influence of the atomic spontaneous emission, the decay of the cavity mode and deviation of the coupling strength. The experimental feasibility of our proposal is also discussed.
Combining adiabatic passage and Rydberg antiblockade, we propose a scheme to implement a two-qubit phase gate between two Rydberg atoms. Detuning parameters between frequencies of atomic transitions and those of the corresponding driving lasers are carefully chosen to offset the blockade effect of two Rydberg atoms, so that an effective Hamiltonian, representing a single-photon detuning Λ-type three-level system and concluding the quantum state of two Rydberg atoms excited simultaneously, is obtained. The adiabatic-passage technique, based on the effective Hamiltonian, is adopted to implement a two-atom phase gate by using two time-dependent Rabi frequencies. Numerical simulations indicate that a high-fidelity two-qubit π -phase gate is constructed and its operation time does not have to be controlled accurately. Besides, owing to the long coherence time of the Rydberg state, the phase gate is robust against atomic spontaneous emission.