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Physical Review A

Implementing an ancilla-free 1→M economical phase-covariant quantum cloning machine with superconducting quantum-interference devices in cavity QED

Long-Bao Yu, Wen‐Hai Zhang, Liu Ye

Published Sep 17, 2007• 34 citations
Publisher

Abstract

We propose a simple scheme to realize $1\ensuremath{\rightarrow}M$ economical phase-covariant quantum cloning machine (EPQCM) with superconducting quantum interference device (SQUID) qubits. In our scheme, multi-SQUIDs are fixed into a microwave cavity by adiabatic passage for their manipulation. Based on this model, we can realize the EPQCM with high fidelity via adiabatic quantum computation.

DOI
10.1103/physreva.76.034303

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We propose a simple scheme to realize 1\ensuremath→M1\ensuremath{\rightarrow}M1\ensuremath→M economical phase-covariant quantum cloning machine (EPQCM) with superconducting quantum interference device (SQUID) qubits. In our scheme, multi-SQUIDs are fixed into a microwave cavity by adiabatic passage for their manipulation. Based on this model, we can realize the EPQCM with high fidelity via adiabatic quantum computation.
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 propose a unified scheme to implement the optimal 1→ 3economical phase-covariant quantum cloning and optimal 1→3 economical real state cloning with superconducting quantum interference devices (SQUIDs) in a cavity.During this process,no transfer of quantum information between the SQUIDs and cavity is required.The cavity field is only virtually excited.The scheme is insensitive to cavity decay.Therefore,the scheme can be experimentally realized in the range of current cavity QED techniques.
We propose a scheme for implementing a partial general quantum cloning machine with superconducting quantum-interference devices coupled to a nonresonant cavity. By regulating the time parameters, our system can perform optimal symmetric (asymmetric) universal quantum cloning, optimal symmetric (asymmetric) phase-covariant cloning, and optimal symmetric economical phase-covariant cloning. In the scheme the cavity is only virtually excited, thus, the cavity decay is suppressed during the cloning operations.