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Physica Scripta

Physical realization of a multi-purpose quantum cloning machine with electron spins in quantum dots

Bao-Quan Sun, Xiao‐Qiang Shao, Ai‐Dong Zhu, Kyu-Hwang Yeon, Seong‐Cho Yu

Published Sep 10, 2010• 1 citation
Publisher

Abstract

We propose a scheme to realize a quantum cloning machine via coupled electron spins in quantum dots. By properly designing the position of the quantum dots and controlling the coupling between them, a multi-purpose quantum cloning machine (MPCM) including an optimal symmetric (asymmetric) 1→2 universal quantum cloning machine (UQCM) and optimal symmetric (asymmetric) 1→2 phase-covariant quantum cloning machine (PCCM) can be achieved.

DOI
10.1088/0031-8949/82/04/045006

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We propose a scheme to realize a quantum cloning machine via coupled electron spins in quantum dots. By properly designing the position of the quantum dots and controlling the coupling between them, a multi-purpose quantum cloning machine (MPCM) including an optimal symmetric (asymmetric) 1→2 universal quantum cloning machine (UQCM) and optimal symmetric (asymmetric) 1→2 phase-covariant quantum cloning machine (PCCM) can be achieved.
Schemes for implementing a 1 ? 2 optimal universal quantum cloning machine (UQCM) and a 1 ? 3 ancilla-free optimal phase-covariant quantum cloning machine (PCCM) are proposed by manipulating the transverse spin?spin interactions of quantum dots mediated by a vacuum single-mode cavity. The interactions among different quantum dots are selectively controlled by the classical laser fields. These quantum cloning machines are more robust due to the very long spin decoherence time of quantum dots. Furthermore, the experimental implementation is simplified in comparison with those using atoms as qubits. The quantum dots are embedded in the cavity simultaneously; hence the troubles caused by the qubits passing through multiple cavities are effectively avoided.
We present a scheme to implement a special quantum cloning machine with quantum dot spins in cavity QED. The quantum cloning machine copies the information from a photon to other two distant quantum dots trapped in cavities with the help of a single-photon pulse. Choosing the different parameters, the scheme can implement optimal symmetric 1 → 2 universal, optimal symmetric 1 → 2 phase-covariant and optimal symmetric economical 1 → 3 phase-covariant quantum cloning machines. The present scheme is more economical in saving resource compared with previous schemes.
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.