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Physical Review A

Quantum-information processing in decoherence-free subspace with low- Q cavities

Qiong Chen, Mang Feng

Published Nov 24, 2010• 44 citations
Publisher

Abstract

We consider the input-output process with low-$Q$ cavities confining atoms for quantum-information processing, based on a general expression for reflection coefficient of the single photon. Focusing on the qubit encoding in decoherence-free subspace (DFS), we propose entanglement generation, universal quantum computing, and multiqubit controlled phase flip, using individual photon input and output from the cavities. Because of the DFS and no requirement for high-$Q$ cavities, our schemes are not only immune to dephasing but also feasible with currently available technology.

DOI
10.1103/physreva.82.052329

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We consider the input-output process with low-QQQ cavities confining atoms for quantum-information processing, based on a general expression for reflection coefficient of the single photon. Focusing on the qubit encoding in decoherence-free subspace (DFS), we propose entanglement generation, universal quantum computing, and multiqubit controlled phase flip, using individual photon input and output from the cavities. Because of the DFS and no requirement for high-QQQ cavities, our schemes are not only immune to dephasing but also feasible with currently available technology.
We investigate the possibility to achieve quantum gates using atoms confined in low-QQQ cavities by single-photon input-output process. Different from in high-QQQ cavities with strong coupling, we may accomplish universal quantum gates on the atoms by Faraday rotations. Our idea could be applied to multiqubit gating on local and nonlocal atoms as well as on encoded qubits in decoherence-free subspace.
Both cavity quantum electrodynamics and photons are promising candidates for quantum information processing. We consider a combination of both candidates with a single photon going through spatially separate cavities to entangle the atomic qubits, based on the input-output process of the cavities. We present a general expression for the input-output process regarding the low-QQQ cavity confining a single atom, which works in a wide range of parameters. Focusing on low-QQQ cavity case, we propose some schemes for quantum information processing with Faraday rotation using single photons, which is much different from the high-QQQ cavity and strong-coupling cases.
Universal quantum computation overcoming influnce of bit-flip error is realized by suppressing collective decoherence with decoherence-free subspace method. The scheme is based on cavity QED system. A logical bit is encoded by two adjacent atoms trapped in a cavity, and a four-dimensional decoherence-free subspace is constructed to suppress the collective bit reversal error. By adjusting the coupling between the external optical field and cavity, two noncommutative single-qubit operations and a controlled phase gate are implemented in decoherence-free subspace. Universal quantum computation overcoming the collective bit reversal error is realized.
We show how realistic cavity-assisted interaction between neutral atoms and coherent optical pulses, and measurement techniques, combined with optical transportation of atoms, allow for a universal set of quantum gates acting on decoherence--free subspace in a deterministic way. The logical qubits are immunized to the dominant source of decoherece-dephasing, while the influences of additional errors are shown by numerical simulations. We analyze the performance and stability of all required operations and emphasize that all techniques are feasible with current experimental technology.