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Quantum search with two atom collisions in cavity QED

J. M. Raimond, M. Brune, P. Milman, S. Haroche, Fumiko Yamaguchi

Published Jan 1, 2002• 2 citations
OpenAlex

Abstract

We propose a scheme to implement two-qubit Grover's quantum search algorithm using Cavity Quantum Electrodynamics.Circular Rydberg atoms are used as quantum bits (qubits).They interact with the electromagnetic field of a non-resonant cavity .The quantum gate dynamics is provided by a cavity-assisted collision, robust against decoherence processes.We present the detailed procedure and analyze the experimental feasibility.

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Quantum Information and Computation•Nov 1, 2003•1 citation
We propose a scheme to implement two-qubit Grover's quantum search algorithm using Cavity Quantum Electrodynamics.Circular Rydberg atoms are used as quantum bits (qubits).They interact with the electromagnetic field of a non-resonant cavity .The quantum gate dynamics is provided by a cavity-assisted collision, robust against decoherence processes.We present the detailed procedure and analyze the experimental feasibility.
Using resonant interaction of three Rydberg atoms with a single-mode microwave cavity, we consider a realization of the three-qubit Grover search algorithm in the presence of weak cavity decay, based on a previous idea for a three-qubit quantum gate [Chen et al., Phys. Rev. A 73, 064304 (2006)]. We simulate the searching process under the influence of the cavity decay and show that our scheme could be achieved efficiently to find a marked state with high fidelity. The required operations are very close to the capabilities of current cavity QED techniques.
Following the proposal by [F. Yamaguchi et al. Phys. Rev. A 66, 010302(R) (2002)], we present an alternative way to implement the two-qubit Grover search algorithm in cavity QED. Compared with Yamaguchi et al.'s proposal, with a strong resonant classical field added, our method is insensitive to both the cavity decay and thermal field, and does not require that the cavity remain in the vacuum state throughout the procedure. Moreover, the qubit definitions are the same for both atoms, which makes the experiment easier. The strictly numerical simulation shows that our proposal is good enough to demonstrate a two-qubit Grover's search with high fidelity.
Cavity QED is a versatile tool to explore small scale quantum information processing. Within this setting, we describe a particular protocol for implementing a Toffoli gate with Rydberg atoms and a cavity field. Our scheme uses both resonant and non resonant interactions, and in particular a cavity assisted atomic collision. The experimental feasibility of the protocol is carefully analyzed with the help of numerical simulations and takes into account the decoherence process. Moreover, we show that our protocol is optimal within the constraints imposed by the experimental setting.
Cavity QED is a versatile tool to explore small scale quantum information processing. Within this setting, we describe a particular protocol for implementing a Toffoli gate with Rydberg atoms and a cavity field. Our scheme uses both resonant and non resonant interactions, and in particular a cavity assisted atomic collision. The experimental feasibility of the protocol is carefully analyzed with the help of numerical simulations and takes into account the decoherence process. Moreover, we show that our protocol is optimal within the constraints imposed by the experimental setting.