Dense coding capacity of a quantum channel

Year: 2020

Authors: Laurenza R., Lupo C., Lloyd S., Pirandola S.

Autors Affiliation: INO CNR, QSTAR, Largo Enrico Fermi 2, I-50125 Florence, Italy; LENS, Largo Enrico Fermi 2, I-50125 Florence, Italy; Univ Sheffield, Dept Phys & Astron, Hounsfield Rd, Sheffield S3 7RH, S Yorkshire, England; MIT, Dept Mech Engn, Cambridge, MA 02139 USA; MIT, Res Lab Elect, 77 Massachusetts Ave, Cambridge, MA 02139 USA; Univ York, Dept Comp Sci, York YO10 5GH, N Yorkshire, England.

Abstract: We consider the fundamental protocol of dense coding of classical information assuming that noise affects both the forward and backward communication lines between Alice and Bob. Assuming that this noise is described by the same quantum channel, we define its dense coding capacity by optimizing over all adaptive strategies that Alice can implement, while Bob encodes the information by means of Pauli operators. Exploiting techniques of channel simulation and protocol stretching, we are able to establish the dense coding capacity of Pauli channels in arbitrary finite dimension, with simple formulas for depolarizing and dephasing qubit channels.

Journal/Review: PHYSICAL REVIEW RESEARCH

Volume: 2 (2)      Pages from: 23023-1  to: 23023-5

More Information: This work was supported by the EPSRC via the UK Quantum Communications Hub (Grant No. EP/T001011/1) and the European Commission via Continuous Variable Quantum Communications (CiViQ, Grant No. 820466).
KeyWords: Communication; State
DOI: 10.1103/PhysRevResearch.2.023023

Citations: 17
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