Multipartite Asymmetric Quantum Cloning

Abstract

We investigate the optimal distribution of quantum information over multipartite systems in asymmetric settings. We introduce cloning transformations that take $N$ identical replicas of a pure state in any dimension as input, and yield a collection of clones with non-identical fidelities. As an example, if the clones are partitioned into a set of $M_A$ clones with fidelity $F^A$ and another set of $M_B$ clones with fidelity $F^B$, the trade-off between these fidelities is analyzed, and particular cases of optimal $N\to M_A+M_B$ cloning machines are exhibited. We also present an optimal $1\to 1+1+1$ cloning machine, which is the first known example of a tripartite fully asymmetric cloner. Finally, it is shown how these cloning machines can be optically realized.

5 pages, 2 figures

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Cited by in corpus (28)

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• Experimental Realization of $1\to 2$ Asymmetric Phase-Covariant Quantum Cloning
• Optimal Cloning and Singlet Monogamy
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• Geometry versus Entanglement in Resonating Valence Bond Liquids
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• Region of fidelities for a 1 -> N universal qubit quantum cloner
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• Optimal Broadcasting of Mixed States
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• Conditions for degradability of tripartite quantum states
• Photonic quantum simulator for unbiased phase covariant cloning
• Broadcasting of NPT Entanglement in Two Qutrit Systems
• Single Qubit Multi-Party Transmission Using Universal Symmetric Quantum Cloning