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Physical Review A

Quantum computing in cavity QED with cold trapped ions by bichromatic radiation

Mang Feng

Published May 30, 2002• 6 citations
Publisher

Abstract

In the system with ions confined both in a linear trap and in a high-$Q$ single mode cavity, we present a simple quantum computing scheme by means of lasers and quantized cavity field, based on a previous proposal with bichromatic radiation [Phys. Rev. Lett. $82,$ 1971 (1999)]. The controlled-NOT gate operation can be performed by only three operations and it is independent of motional states of ions. Experimental feasibility for achieving our scheme is discussed.

DOI
10.1103/physreva.65.064301

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In the system with ions confined both in a linear trap and in a high-QQQ single mode cavity, we present a simple quantum computing scheme by means of lasers and quantized cavity field, based on a previous proposal with bichromatic radiation [Phys. Rev. Lett. 82,82,82, 1971 (1999)]. The controlled-NOT gate operation can be performed by only three operations and it is independent of motional states of ions. Experimental feasibility for achieving our scheme is discussed.
In the system with ions confined both in a linear trap and in a high-QQQ single-mode optical cavity, a quantum computing scheme is proposed by using lasers and quantized cavity field, via Raman transition. A controlled-NOT gate with reduced operations can be performed on two non-neighboring ions without the involvement of both motional states of ions and cavity mode. Experimental feasibility of achieving our scheme is discussed.
We propose a scheme to perform basic gates of quantum computing and prepare entangled states in a system with cold trapped ions located in a single-mode optical cavity. General quantum computing can be done with both the motional state of the trapped ion and cavity state being qubits. We can also generate different kinds of entangled states in such a system without state reduction, and can transfer quantum states from an ion in one trap to an ion in another trap. The experimental requirements for achieving our scheme are discussed.
The purpose of this article is to review two complementary schemes for quantum computation with trapped ions. We initially discuss the first proposal of quantum computations with cold trapped ions (J. I. Cirac and P. Zoller; Phys. Rev. Lett. 74, 4091, 1995) which requires, prior to any computation, laser cooling to the motional ground state. This proposal is closely related to the physics of generating and manipulating N-particles entangled states in both ion traps and high-Q cavities (cavity quantum electrodynamics). The second scheme is that of quantum computations with hot trapped ions (J.F. Poyatos, J.I. Cirac and P. Zoller; Phys. Rev. Lett. 81, 1322, 1998) which works at finite temperature and resembles physical ideas found in atom interferometry.
A trapped ion in a cavity can simultaneously interact with a laser field as well as the cavity field. Based on the point, we propose a new scheme to implement quantum logic gates such as single qubit rotation gate, two qubit controlled-phase gate and controlled-NOT gate. and scheme employs the model used in literature [10-12] and is different from these works because computation basis is composed by the internal ionic state and motional state. We also discussed the experimental requirement for our scheme.