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Journal of Physics B Atomic Molecular and Optical Physics

Grover search in decoherence-free subspace with low-Q cavities

Yong Hu, Q Chen, Mang Feng

Published Aug 12, 2011• 0 citations
Publisher

Abstract

By virtue of the single-photon input-output process, we present a potentially practical scheme for realization of a multi-qubit Grover search algorithm in decoherence-free subspace (DFS) with low-Q cavities. Our treatment considers the decay of the cavity, which favours the input and output of the single photons, and the DFS encoding suppresses the collective dephasing errors. We show that our scheme for the three-qubit Grover search in DFS would work using near-future available techniques.

DOI
10.1088/0953-4075/44/17/175504

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By virtue of the single-photon input-output process, we present a potentially practical scheme for realization of a multi-qubit Grover search algorithm in decoherence-free subspace (DFS) with low-Q cavities. Our treatment considers the decay of the cavity, which favours the input and output of the single photons, and the DFS encoding suppresses the collective dephasing errors. We show that our scheme for the three-qubit Grover search in DFS would work using near-future available techniques.
Based on a cavity-assisted interaction by single-photon pulses, we propose a scheme to implement a two-qubit Grover search in a distributed quantum network, with qubits encoded in pairs of atoms in a dephasing-free subspace (DFS), which could strongly suppress collective dephasing errors and would be helpful for enhancing the fidelity of implementation. Moreover, we show that the preparation of entangled states and transfer of quantum states can be completed in our improved scheme, which is very important for the compatibility and scalability of the quantum network.
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.
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We propose a many-qubit network with cavity QED by encoding qubits in decoherence-free subspace, based on which we can implement many-logic-qubit conditional gates by means of cavity-assisted interaction with single-photon pulses. Our scheme could not only resist collective dephasing errors, but also much reduce the implementational steps compared to conventional methods doing the same job, and we can also complete communications between two arbitrary nodes. We show the details by implementing a three-logic-qubit Toffoli gate and explore the experimental feasibility and challenge based on currently achievable cavity QED technologies.
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.