Details

Autor(en) / Beteiligte

• Holevo, Alexander S.
• Filippov, Sergey N.

Titel

Quantum Gaussian maximizers and log-Sobolev inequalities

Ist Teil von

• Letters in mathematical physics, 2023-02, Vol.113 (1), Article 10

Ort / Verlag

Dordrecht: Springer Netherlands

Erscheinungsjahr

2023

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In the present paper, we give a proof of optimality of Gaussian encodings for the ultimate communication rate of generalized noisy homodyne and heterodyne receivers under the oscillator energy constraint, without any additional “threshold condition” onto the signal power. Rather remarkably, the proof is based on various generalizations of the celebrated log-Sobolev inequality motivated by a solution of the problem of Gaussian maximizers for the capacity of quantum measurement channels.