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International Journal of Quantum Information

SCHEME FOR IMPLEMENTATION OF THE OPTIMAL 1 → 2 UNIVERSAL QUANTUM CLONING WITH SQUID QUBITS IN A CAVITY VIA A RAMAN TRANSITION

Zhen‐Biao Yang, Bao‐Long Fang, Wen‐Hai Zhang, Liu Ye

Published Apr 1, 2009• 0 citations
Publisher

Abstract

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.

DOI
10.1142/s0219749909005250

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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.
In the system with superconducting quantum interference devices (SQUIDs) in cavity, the quantum logic gates operation and entanglement can be achieved by using a quantized cavity field and classical microwave pluses, via Raman transition. In this scheme, no transfer of quantum information between the SQUIDs and cavity is required, the cavity field is only virtually excited and thus the cavity decay is suppressed during the gate operation and entanglement generations. The gate operation and entanglement generations are realized by using only the two lower flux states of the SQUID system and the excited state would not be excited. Therefore, the effect of docoherence based on the levels of the SQUID system is possible to minimize.
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.
In this paper, a theoretical scheme is proposed to generate the EPR state of two SQUID qubits and create the multipartite cluster states of many SQUID qubits in cavity via Raman transition. We also show how to transfer quantum information from one SQUID qubit to another directly. In this scheme, the cavity field is only virtually excited and thus the cavity decay is suppressed. The quantum information processing and cluster states generation are realized by using only two lower flux states of the SQUID system and the excited state would not be excited. Therefore, the effect of decoherence caused from the levels of the SQUID system is possibly minimized.
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.