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Journal of Hengyang Normal University

Generation of an N-qubit cluster state via superconducting quantum interference devices

Gao Feng

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

We propose a model to implement the standard two-qubit quantum phase gate via a large detuned interaction of two superconducting quantum interference devices(SQUIDs) with a single-mode vacuum cavity-field.With the constructed phase gate,a scheme for generating an N-qubit cluster state is also presented.In our protocol,the quantum information is encoded in the ground states of two rf SQUIDs.During the interaction between the rf SQUIDs and the single-mode vacuum cavity-field,the effect of decoherence caused from the upper levels of the SQUID system is negligible due to fact that the excited states of the rf SQUIDs are adiabatically eliminated under large detuning condition.The experimental feasibility of the schemes is also discussed.

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We propose a model to implement the standard two-qubit quantum phase gate via a large detuned interaction of two superconducting quantum interference devices(SQUIDs) with a single-mode vacuum cavity-field.With the constructed phase gate,a scheme for generating an N-qubit cluster state is also presented.In our protocol,the quantum information is encoded in the ground states of two rf SQUIDs.During the interaction between the rf SQUIDs and the single-mode vacuum cavity-field,the effect of decoherence caused from the upper levels of the SQUID system is negligible due to fact that the excited states of the rf SQUIDs are adiabatically eliminated under large detuning condition.The experimental feasibility of the schemes is also discussed.
In the system with superconducting quantum interference devices (SQUID) in cavity, a scheme for constructing two-qubit quantum phase gate via a conventional geometric phase-shift is proposed by using a quantized cavity field and classical microwave pulses. In this scheme, the gate operation is realized in the subspace spanned by the two lower flux states of the SQUID system and the population operator of the excited state has no effect on it. Thus the effect of decoherence caused from the levels of the SQUID system is possible to minimize. Under cavity decay, our strictly numerical simulation shows that it is also possible to realize the unconventional geometric phase gate. The experimental feasibility is discussed in detail.
We propose two schemes for realizing 1→2 economical phase-covariant quantum cloning with superconducting quantum-interference devices(SQUID) in cavity QED.In our schemes,the SQUIDs with three levels act with a quantized cavity field and classical microwave pluses via Raman transition.On the condition of large detuning,the excited state would be eliminated adiabaticly.During the whole operation,the cavity field is in the vacuum state at all times,so there is no transfer of quantum information between the SQUIDs and cavity,thus the cavity decay is largely suppressed.By using this method,we can realize the phase-covariant quantum cloning by four steps.
We proposed an efficient scheme for constructing a quantum controlled phase-shift gate and generating the cluster states with rf superconducting quantum interference devices (SQUIDs) coupled to a microwave cavity through adiabatic evolution of dark eigenstates. During the operation, the spontaneous emission is suppressed since the rf SQUIDs are always in the three lowest flux states. Considering the influence from the cavity decay with achievable experimental parameters, we numerically analyze the success probability and the fidelity for generating the two-SQUID maximally entangled state and the controlled phase-shift gate by adiabatic passage.
In the system with superconducting quantum interference devices (SQUID) in cavity,a scheme for con- structing two-qubit quantum phase gate via a conventional geometric phase-shift is proposed by using a quantized cavity field and classical microwave pulses.In this scheme,the gate operation is realized in the subspace spanned by the two lower flux states of the SQUID system and the population operator of the excited state has no effect on it.Thus the effect of decoherence caused from the levels of the SQUID system is possible to minimize.Under cavity decay,our strictly numerical simulation shows that it is also possible to realize the unconventional geometric phase gate.The experimental feasibility is discussed in detail.