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Modern Physics Letters B

REALIZATION OF THE GREENBERG–HORNE–ZEILINGER (GHZ) STATE AND SWAP GATE WITH SUPERCONDUCTING QUANTUM-INTERFERENCE DEVICES IN A CAVITY VIA ADIABATIC PASSAGE

Anshou Zheng, Yongjin Cheng, Ji-Bing Liu, TIE-PING LI

Published Jun 20, 2008• 1 citation
Publisher

Abstract

We propose an alternative scheme to prepare the Greenberg–Horne–Zeilinger (GHZ) state and realize a SWAP gate by using Superconducting Quantum-interference devices (SQUIDs) coupled to a cavity. The present scheme, based on the adiabatic evolution of dark state, constitutes a decoherence-free method in the sense that spontaneous emission and cavity damping are avoided. Besides, the standard GHZ state can be directly obtained without measurement or any auxiliary SQUIDs and the construction of the SWAP gate does not require a composition of elementary gates from a universal set. Thus the procedure is simplified and decoherence is greatly suppressed.

DOI
10.1142/s0217984908016224

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We propose an alternative scheme to prepare the Greenberg–Horne–Zeilinger (GHZ) state and realize a SWAP gate by using Superconducting Quantum-interference devices (SQUIDs) coupled to a cavity. The present scheme, based on the adiabatic evolution of dark state, constitutes a decoherence-free method in the sense that spontaneous emission and cavity damping are avoided. Besides, the standard GHZ state can be directly obtained without measurement or any auxiliary SQUIDs and the construction of the SWAP gate does not require a composition of elementary gates from a universal set. Thus the procedure is simplified and decoherence is greatly suppressed.
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An alternative scheme is proposed for generating the Greenberg–Horne–Zeilinger (GHZ) and W types of the entangled states with multiple superconducting quantum-interference device (SQUID) qubits in a single-mode microwave cavity field. In this scheme, there is no transfer of quantum information between the SQUIDs and the cavity, the cavity is always in the vacuum and thus the requirement on the quality of cavity is greatly loosened. In addition, during the process of the generation of the W entangled state, the present method does not involve a real excitation of intermediate levels. Thus, decoherence due to energy relaxation of intermediate levels is minimized.
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A scheme is proposed to deterministically generate multi-atom Greenberger–Horne–Zeilinger (GHZ) states trapped in coupled cavities, which is based on the adiabatic passage of the dark state. The scheme does not need to adjust the interaction time accurately and is insensitive to the fluctuations of some experimental parameters. However, we should choose the appropriate Rabi frequencies of the classical fields to achieve the optimal characteristic of the system. In addition, we also demonstrate numerically that it is robust against decoherence caused by the cavity decay and atomic spontaneous emission.