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ACTA PHOTONICA SINICA

Physical Realization of Probabilistic Cloning Machines of Superconducting Quantum Interference Devices in Cavity QED

朱艳 ZHU Yan, 顾永建 GU Yong-jian, 徐舟 XU Zhou, 谢琳 XIE Lin, 马丽珍 MA Li-zhen

Published Jan 1, 2010• 0 citations

Abstract

A scheme is proposed for the physical realization of a quantum probabilistic cloning machine.First,with two superconducting quantum interference devices (SQUIDs) embedded in a high-Q cavity used as the original and target qubits respectively,and the cavity field as the measurement qubit,the unitary evolution required for the cloning machines is realized through multiple interactions of SQUID with the cavity or classical microwave pulses.Then the state reduction is implemented by mapping the cavity state onto another SQUID and measuring the magnetic flux of the SQUID,thus realizing the exact cloning of quantum states with optimal success probability.In this scheme,two–photon Raman resonance process is used to increase the single qubit operation rate,and the total operation time is far less the time of spontaneous decay and cavity decay.Therefore this scheme is experimentally feasible.

DOI: 10.3788/gzxb20103903.0537

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We propose a scheme to realize a $1\ensuremath{\rightarrow}2$ universal quantum cloning machine with superconducting quantum interference device qubits, embedded in a high-

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cavity. The controlled-NOT operations are derived to present our scheme, and the two-photon Raman resonance processes are used to increase the operation rate. Compared with previous works, our scheme has advantages in the experimental realization and further utilization.

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.

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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.

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We present a scheme to implement a quantum cloning machine which copies a state near a given one with superconducting quantum-interference device(SQUID) embedded in a high-Q cavity.The controlled-NOT operations derived in our scheme are indispensable for the preparation of this cloning machine,which can be implemented by adjusting the interaction between the SQUID and the microwave cavity.Due to the technology of SQUID can be easily implemented in current experiment,our scheme also can be realized in experiment.