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Modern Physics Letters B

ONE-STEP GENERATION OF GREENBERGER–HORNE–ZEILINGER STATES IN SUPERCONDUCTING QUANTUM INTERFERENCE DEVICES VIA RAMAN INTERACTION

Zhiming Zhan

Published Dec 20, 2006• 0 citations
Publisher

Abstract

We put forward a fast scheme for one-step generation of maximally entangled Greenberger–Horne–Zeilinger (GHZ) states by superconducting quantum interference devices (SQUIDs) in cavity via Raman interaction. The scheme only requires a quantized cavity field and classical microwave pulses. One of the key advantages of our Raman-interaction scheme is that an improvement of overcoming decoherence for the preparation of the desired GHZ states can be achieved.

DOI
10.1142/s0217984906012146

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We put forward a fast scheme for one-step generation of maximally entangled Greenberger–Horne–Zeilinger (GHZ) states by superconducting quantum interference devices (SQUIDs) in cavity via Raman interaction. The scheme only requires a quantized cavity field and classical microwave pulses. One of the key advantages of our Raman-interaction scheme is that an improvement of overcoming decoherence for the preparation of the desired GHZ states can be achieved.
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.
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.
A scheme is proposed for generating Greenberger-Horne-Zeilinger (GHZ) entangled states of multiple superconducting quantum-interference device (SQUID) qubits by the use of a microwave cavity. The scheme operates essentially by creating a single photon through an auxiliary SQUID built in the cavity and performing a joint multiqubit phase shift with assistance of the cavity photon. It is shown that entanglement can be generated using this method, deterministic and independent of the number of SQUID qubits. In addition, we show that the present method can be applied to preparing many atoms in a GHZ entangled state, with tolerance to energy relaxation during the operation.
We propose a scheme to create cluster states with superconducting quantum-interference devices (SQUIDs) with the help of an auxiliary qubit, by using a quantized cavity field and classical microwave pulses, via Raman transition. In our scheme, no transfer of quantum information between the SQUIDs and the cavity is required. The cavity is only virtually excited during the whole operation and thus the cavity decay is suppressed during the operations and the requirement on the quality factor of the cavity is much relaxed, which could greatly reduce the experimental challenge.