Optimal quantum repeaters for qubits and qudits

Abstract

A class of optimal quantum repeaters for qubits is suggested. The schemes are minimal, i.e. involve a single additional probe qubit, and optimal, i.e. provide the maximum information adding the minimum amount of noise. Information gain and state disturbance are quantified by fidelities which, for our schemes, saturate the ultimate bound imposed by quantum mechanics for randomly distributed signals. Special classes of signals are also investigated, in order to improve the information-disturbance trade-off. Extension to higher dimensional signals (qudits) is straightforward.

Revised version. To appear in PRA

References in corpus (3)

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• An effective iterative method to build the Naimark extension of rank-n POVMs
• Allowed region and optimal measurement for information versus disturbance in quantum measurements
• Derivative of the disturbance with respect to information from quantum measurements
• Local trade-off between information and disturbance in quantum measurements
• Relationship between quantum repeating devices and quantum seals