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arXiv:quant-ph/0608111 · Physical Review A

Preparation of cluster states and W states with superconducting quantum-interference-device qubits in cavity QED

Xinglai Zhang, K. Gao, Mang Feng

Published Aug 29, 2006• 88 citations
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Abstract

We propose schemes to create cluster states and $W$ states by many superconducting quantum-interference-device qubits in cavities under the influence of the cavity decay. Our schemes do not require auxiliary qubits, and the excited levels are only virtually coupled throughout the scheme, which could much reduce the experimental challenge. We consider the cavity decay in our model and analytically demonstrate its detrimental influence on the prepared entangled states.

DOI
10.1103/physreva.74.024303

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We propose schemes to create cluster states and WWW states by many superconducting quantum-interference-device qubits in cavities under the influence of the cavity decay. Our schemes do not require auxiliary qubits, and the excited levels are only virtually coupled throughout the scheme, which could much reduce the experimental challenge. We consider the cavity decay in our model and analytically demonstrate its detrimental influence on the prepared entangled states.
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.
We propose a scheme to generate the W states with many SQUIDs (superconducting-quantum-interferencedevices) in cavity QED via Raman transition.In this scheme,the transfer of quantum information between the SQUIDs and cavity is not required.And the cavity field is only virtually excited,thus the cavity decay is suppressed during the W states generation.The SQUIDs are always populated in the two ground states.Therefore,the scheme is insensitive to the spontaneous emission of the excited level of the SQUID and cavity decay.
We propose a scheme to generate the W states with many SQUIDs (superconducting-quantum-interference-devices) in cavity QED via Raman transition. In this scheme, the transfer of quantum information between the SQUIDs and cavity is not required. And the cavity field is only virtually excited, thus the cavity decay is suppressed during the W states generation. The SQUIDs are always populated in the two ground states. Therefore, the scheme is insensitive to the spontaneous emission of the excited level of the SQUID and cavity decay.
We propose an alternative scheme to prepare W state by using superconducting quantum-interference devices (SQUIDs) coupled to a largely-detuned cavity. The present scheme is based on evolution by adiabatic passage, where only by tuning adiabatically the Rabi frequencies of the classical microwave pulses we can obtain the standard W state without measurement or any auxiliary SQUIDs. Thus the procedure is simplified and the scheme can be achieved with very high success probability since the errors in dynamical or geometric ways can be avoided. In addition, the SQUID system and the cavity have no probability of being excited state. Thus decoherence caused by the excited-level spontaneous emission or the cavity decay is suppressed.
An alternative scheme is proposed for the generation of n-qubit W states of superconducting quantum interference devices (SQUID) in cavity QED. In this scheme, Raman coupling of two lower flux states of SQUID system is achieved via a microwave pulse and the cavity mode. Conditioned on no photon leakage from the cavity, the n-qubit W state can be generated whether the effective coupling parameters of the SQUID to cavity mode and classical microwave fields are the same or different. Our strictly numerical simulations of the time evolution of the system including decay show that the success probability of our scheme is almost unity and the interaction time is on the order of 10 −9 s. The scheme can also be used to generate the Schrödinger cat states of multi-SQUID.