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Chinese Physics Letters

Universal Quantum Cloning Machine in Circuit Quantum Electrodynamics

Lv Dan-Dan, H. Lu, Yu Ya-Fei, Feng Xun-Li, Zhi‐Ming Zhang

Published Feb 1, 2010• 2 citations
Publisher

Abstract

We propose a scheme for realizing the 1 → 2 universal quantum cloning machine (UQCM) with superconducting quantum interference device (SQUID) qubits in circuit quantum electrodynamics (circuit QED). In this scheme, in order to implement UQCM, we only need phase shift gate operation on SQUID qubits and the Raman transitions. The cavity number we need is only one. Thus our scheme is simple and has advantages in the experimental realization. Furthermore, both the cavity and the SQUID qubits are virtually excited, so the decoherence can be neglected.

DOI
10.1088/0256-307x/27/2/020302

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We propose a scheme for realizing the 1 → 2 universal quantum cloning machine (UQCM) with superconducting quantum interference device (SQUID) qubits in circuit quantum electrodynamics (circuit QED). In this scheme, in order to implement UQCM, we only need phase shift gate operation on SQUID qubits and the Raman transitions. The cavity number we need is only one. Thus our scheme is simple and has advantages in the experimental realization. Furthermore, both the cavity and the SQUID qubits are virtually excited, so the decoherence can be neglected.
We propose a scheme to realize the optimal 1 → 2 universal quantum cloning (UQC) in 2-dimension with superconducting quantum-interference device (SQUID) qubits in a microwave cavity. In our scheme, three-SQUIDs are fixed in a microwave cavity via a Raman transition for their manipulation. Using this method, no transfer of quantum information between the SQUIDs and the cavity is required, the cavity field is only virtually excited and thus the cavity decay is suppressed during the cloning process. Furthermore, our scheme only requires using the two lower flux states of the SQUID system and the excited state is not excited. So the effect of decoherence based on the levels of the SQUID system is possible to minimize.
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-QQQ 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.
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.
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 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.