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Journal of Physics B Atomic Molecular and Optical Physics

Fast CNOT gate via quantum Zeno dynamics

Xiao‐Qiang Shao, Li Chen, Shou Zhang, Kyu-Hwang Yeon

Published Jul 31, 2009• 39 citations
Publisher

Abstract

Based on the quantum Zeno dynamics, we propose two approaches for directly implementing a CNOT gate in a cavity QED system instead of constructing it from elementary gates. The first approach works in the decoherence-free subspaces (DFS) due to the quantum Zeno effect, which is robust against cavity decay. Based on the first model, we then propose the second approach which takes advantage of stimulated Raman adiabatic passage (STIRAP) with only six pulses; thus it is insensitive to the atomic spontaneous emission. The two schemes are suitable for different decoherence parameters. The strictly numerical simulation shows that the average gate fidelities for the two methods are relatively high.

DOI
10.1088/0953-4075/42/16/165507

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Based on the quantum Zeno dynamics, we propose two approaches for directly implementing a CNOT gate in a cavity QED system instead of constructing it from elementary gates. The first approach works in the decoherence-free subspaces (DFS) due to the quantum Zeno effect, which is robust against cavity decay. Based on the first model, we then propose the second approach which takes advantage of stimulated Raman adiabatic passage (STIRAP) with only six pulses; thus it is insensitive to the atomic spontaneous emission. The two schemes are suitable for different decoherence parameters. The strictly numerical simulation shows that the average gate fidelities for the two methods are relatively high.
Based on the shortcuts to adiabatic passage, we propose a scheme for directly implementing a controlled-not (CNOT) gate in a cavity quantum electrodynamics system. Moreover, we generalize the scheme to realize a CNOT gate in two separate cavities connected by an optical fiber. The strictly numerical simulation shows that the schemes are fast and insensitive to the decoherence caused by atomic spontaneous emission and photon leakage. In addition, the schemes can provide a theoretical basis for the manipulation of the multiqubit quantum gates in distant nodes of a quantum network.
Implementation of quantum controlled-NOT (CNOT) gates in realistic molecular systems is studied using stimulated Raman adiabatic passage (STIRAP) techniques optimized in the time domain by genetic algorithms or coupled with optimal control theory. In the first case, with an adiabatic solution (a series of STIRAP processes) as starting point, we optimize in the time domain different parameters of the pulses to obtain a high fidelity in two realistic cases under consideration. A two-qubit CNOT gate constructed from different assignments in rovibrational states is considered in diatomic (NaCs) or polyatomic (SCCl2)({\text{SCCl}}_{2})(SCCl2​) molecules. The difficulty of encoding logical states in pure rotational states with STIRAP processes is illustrated. In such circumstances, the gate can be implemented by optimal control theory and the STIRAP sequence can then be used as an interesting trial field. We discuss the relative merits of the two methods for rovibrational computing (structure of the control field, duration of the control, and efficiency of the optimization).
With the quantum Zeno dynamics, we present a scheme for realizing a quantum phase gate for two atoms trapped in two separate cavities connected by an optical fiber. Compared with the previous schemes, quantum Zeno dynamics shows different evolution properties in the atom–cavity–fiber system. The scheme needs only one step to perform the gate, which largely reduces the complexity of the experiment. We also numerically simulate the influence of photon leakage and atomic spontaneous emission on the fidelity of the phase gate. The result shows that our scheme is very robust against cavity decay and very promising for realization with current experimental technology.