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Optics Communications

Optical realization of optimal symmetric real state quantum cloning machine

Gui-Yu Hu, Wen‐Hai Zhang, Liu Ye

Published Oct 13, 2009• 3 citations
Publisher
DOI
10.1016/j.optcom.2009.09.062

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Journal of the Optical Society of America B•Apr 5, 2012•2 citations
An efficient scheme is proposed to implement a quantum cloning machine in separate cavities based on a hybrid interaction between electron-spin systems placed in the cavities and an optical coherent pulse. The coefficient of the output state for the present cloning machine is just the direct product of two trigonometric functions, which ensures that different types of quantum cloning machine can be achieved readily in the same framework by appropriately adjusting the rotated angles. The present scheme can implement optimal one-to-two symmetric (asymmetric) universal quantum cloning, optimal symmetric (asymmetric) phase-covariant cloning, optimal symmetric (asymmetric) real-state cloning, optimal one-to-three symmetric economical real-state cloning, and optimal symmetric cloning of qubits given by an arbitrary axisymmetric distribution. In addition, photon loss of the qubus beams during the transmission and decoherence effects caused by such a photon loss are investigated.
A theoretical scheme based on the nonadiabatic geometric quantum computation (NGQC) is proposed to realize quantum cloning in the Rydberg atom system. In contrast to previous schemes, the present one utilizes the NGQC to construct the clone machine and thus is more robust against control errors. Meanwhile, to implement the desired cloning framework in the quantum clone machine, the scheme reported by Zhu and Ye [M.-Z. Zhu and L. Ye, Phys. Rev. A 91, 042319 (2015)] based on cavity QED requires a series of single(two)-qubit operations. For the present NGQC-based scheme, through modulating the rotation angle of geometric operations, we can greatly simplify the process of realizing the cloning framework. In addition, through adjusting the relevant parameters, the scheme can perform symmetrical (asymmetrical) universal cloning, optimal symmetrical (asymmetrical) phase-covariant quantum cloning, and optimal symmetrical (asymmetrical) real-state quantum cloning. The present attempt to optimize quantum cloning using geometric quantum control in Rydberg atoms provides a path to robust and simplified quantum cloning, which is meaningful for experiments and has implications for quantum cloning in other quantum systems as well.
We propose a scheme to realize tunable optimal quantum cloning machines with trapped atoms. Through selecting a pairing of Raman transitions and choosing suitable parameters of the external fields, we can not only realize an optimal symmetric (asymmetric) universal quantum cloning machine and phase-covariant cloning machine, but also an optimal symmetric economical phase-covariant cloning machine. Additionally, the atomic excited states and photonic states can be adiabatically eliminated. In our scheme, the quantum cloning machine can copy the information from one trapped atom to arbitrary two distant trapped atoms, which is significant to quantum communication and quantum computation.