Probabilistic cloning with supplementary information

Abstract

We consider probabilistic cloning of a state chosen from a mutually nonorthogonal set of pure states, with the help of a party holding supplementary information in the form of pure states. When the number of states is 2, we show that the best efficiency of producing m copies is always achieved by a two-step protocol in which the helping party first attempts to produce m-1 copies from the supplementary state, and if it fails, then the original state is used to produce m copies. On the other hand, when the number of states exceeds two, the best efficiency is not always achieved by such a protocol. We give examples in which the best efficiency is not achieved even if we allow any amount of one-way classical communication from the helping party.

6 pages, no figures

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Cited by in corpus (6)

• Quantum Cloning Machines and the Applications
• NMR Experimental Demonstration of Probabilistic Quantum Cloning
• Novel cloning machine with supplementary information
• Broadcasting of Quantum Correlations: Possibilities & Impossibilities
• Probabilistic cloning with supplementary information contained in the quantum states of two auxiliary systems
• Signaling versus distinguishing different superpositions of same pure quantum state