Extremal asymmetric universal cloning machines

Abstract

The trade-offs among various output fidelities of asymmetric universal cloning machines are investigated. First we find out all the attainable optimal output fidelities for the 1 to 3 asymmetric universal cloning machine and it turns out that there are two kinds of extremal asymmetric cloning machines which have to cooperate in order to achieve some of the optimal output fidelities. Second we construct a family of extremal cloning machines that includes the universal symmetric cloning machine as well as an asymmetric 1 to $1+N$ cloning machine for qudits with two different output fidelities such that the optimal trade-off between the measurement disturbance and state estimation is attained in the limit of infinite $N$.

4 pages 2 figures

References in corpus (3)

• Teleportation scheme implementing contextually the Universal Optimal Quantum Cloning Machine and the Universal Not Gate. Complete experimental realization
• Multipartite Asymmetric Quantum Cloning
• Contextual, Optimal and Universal Realization of the Quantum Cloning Machine and of the NOT gate

Cited by in corpus (5)

• Quantum Cloning Machines and the Applications
• Compatible quantum correlations: on extension problems for Werner and isotropic states
• Group representation approach to 1 - N universal quantum cloning machines
• Universal Asymmetric Quantum Cloning Revisited
• A simple formulation of no-cloning and no-hiding that admits efficient and robust verification