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Journal of the Korean Physical Society

Scheme for implementing the optimal quantum cloning via long-range off-resonant Raman coupling

Jing-Ji Wen, Kyu-Hwang Yeon, Hong‐Fu Wang, Shou Zhang

Published Nov 1, 2013• 2 citations

Abstract

We propose a physical scheme to implement the optimal 1 → 2 quantum cloning via long-range off-resonant Raman coupling for distant atoms trapped in separate cavities connected by optical fibers. We show that, if the single-qubit rotation angles are choosen appropriately, the optimal symmetric (asymmetric) universal quantum cloning and optimal symmetric (asymmetric) phase-covariant cloning can be effectively realized. The scheme is insensitive to cavity decay, fiber loss, and atomic spontaneous emission because the effective long-distance interaction induced by long-range off-resonant Raman coupling is mediated by the vacuum fields of the fiber and cavity and because the total system evolves in the decoherence-free subspace in which neither of the subsystems is excited.

DOI: 10.3938/jkps.63.1696

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We present a scheme to realize a special quantum cloning machine via input-output cavities. The cloning machine can copy information from one atom to another distant atom. Choosing different parameters, the method can perform optimal symmetric (asymmetric) universal quantum cloning and optimal symmetric (asymmetric) phase-covariant cloning. Compared to previous schemes, our scheme is more insensitive to actual environmental noise and can get higher fidelity in a current cavity quantum electrodynamics system with an entangled state acting as a quantum channel than a single-photon pulse.

We propose a scheme to implement ancilla-free 1 to 2 optimal phase covariant quantum cloning with atoms trapped in cavities.In the scheme the W-class state of three atoms,which are individually trapped in three spatially separated cavities,is deterministically generated.Then by the use of this W-class state and detection of the atomic state,an optimal ancilla-free 1 to 2 phase-covariant quantum cloning between two spatially separated trapped atoms can be realized.The scheme is robust for atomic spontaneous decay,cavity decay and photon leakage out of the fiber.In principle,an M+1-atom W-class state can be generated by using such an approach.Thus this scheme also can be generalized to implement 1 to M ancilla-free phase-covariant quantum cloning.

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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.