Sequential Quantum Cloning

Abstract

Not all unitary operations upon a set of qubits can be implemented by sequential interactions between each qubit and an ancillary system. We analyze the specific case of sequential quantum cloning 1->M and prove that the minimal dimension D of the ancilla grows linearly with the number of clones M. In particular, we obtain D = 2M for symmetric universal quantum cloning and D = M+1 for symmetric phase-covariant cloning. Furthermore, we provide a recipe for the required ancilla-qubit interactions in each step of the sequential procedure for both cases.

4 pages, no figures. New version with changes. Accepted in Physical Review Letters

References in corpus (2)

• DMRG and periodic boundary conditions: a quantum information perspective
• Economical Phase-Covariant Cloning of Qudits

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• Optimal 1->M universal quantum cloning via spin networks
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• Multipartite maximally entangled states in symmetric scenarios
• Efficient classical simulation of the Gisin-Massar quantum cloning machine
• A Unified Quantum NOT Gate
• Study on Entanglement and its Utility in Information Processing