Entangled inputs cannot make imperfect quantum channels perfect

Details Entangled inputs cannot make imperfect quantum channels perfect Entangled inputs cannot make imperfect quantum channels perfect

2010-10-25

arxiv.org/abs/1010.5074v3

Phys. Rev. Lett. 106, 230502 (2011)

Physics

Quantum Physics

5 pages, 2 figures, an error in the argument on the quantum capacity corrected, version to be published in the Physical Review

Scientific paper

Entangled inputs can enhance the capacity of quantum channels, this being one of the consequences of the celebrated result showing the non-additivity of several quantities relevant for quantum information science. In this work, we answer the converse question (whether entangled inputs can ever render noisy quantum channels have maximum capacity) to the negative: No sophisticated entangled input of any quantum channel can ever enhance the capacity to the maximum possible value; a result that holds true for all channels both for the classical as well as the quantum capacity. This result can hence be seen as a bound as to how "non-additive quantum information can be". As a main result, we find first practical and remarkably simple computable single-shot bounds to capacities, related to entanglement measures. As examples, we discuss the qubit amplitude damping and identify the first meaningful bound for its classical capacity.

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