Quantum trade-off coding for bosonic communication

Mark M. Wilde, Patrick Hayden, Saikat Guha

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


The trade-off capacity region of a quantum channel characterizes the optimal net rates at which a sender can communicate classical, quantum, and entangled bits to a receiver by exploiting many independent uses of the channel, along with the help of the same resources. Similarly, one can consider a trade-off capacity region when the noiseless resources are public, private, and secret-key bits. We identified [see Wilde, Hayden, and Guha, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.108.140501 108, 140501 (2012)] these trade-off rate regions for the pure-loss bosonic channel and proved that they are optimal provided that a long-standing minimum-output entropy conjecture is true. Additionally, we showed that the performance gains of a trade-off coding strategy when compared to a time-sharing strategy can be quite significant. In this paper, we provide detailed derivations of the results announced there, and we extend the application of these ideas to thermal-noise and amplifying bosonic channels. We also derive a "rule of thumb" for trade-off coding, which determines how to allocate photons in a coding strategy if a large mean photon number is available at the channel input. Our results on the amplifying bosonic channel also apply to the "Unruh channel" considered in the context of relativistic quantum information theory.

Original languageEnglish (US)
Article number062306
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number6
StatePublished - Dec 6 2012
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


Dive into the research topics of 'Quantum trade-off coding for bosonic communication'. Together they form a unique fingerprint.

Cite this