Teleportation is necessary for faithful quantum state transfer through noisy 
channels of maximal rank

Romano, Raffaele; van Loock, Peter

doi:10.1103/PhysRevA.82.012334

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Teleportation is necessary for faithful quantum state transfer through noisy channels of maximal rank

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van Loock, Peter
van Loock Research Group, Research Groups, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

Romano, R., & van Loock, P. (2010). Teleportation is necessary for faithful quantum state transfer through noisy channels of maximal rank. PHYSICAL REVIEW A, 82(1): 012334. doi:10.1103/PhysRevA.82.012334.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-6AD5-6

Abstract

Quantum teleportation enables deterministic and faithful transmission of quantum states, provided a maximally entangled state is preshared between sender and receiver, and a one-way classical channel is available. Here, we prove that these resources are not only sufficient, but also necessary, for deterministically and faithfully sending quantum states through any fixed noisy channel of maximal rank, when a single use of the cannel is admitted. In other words, for this family of channels, there are no other protocols, based on different (and possibly cheaper) sets of resources, capable of replacing quantum teleportation.