Universal random codes: capacity regions of the compound quantum multiple-access channel with one classical and one quantum sender

Holger Boche, Gisbert Janßen, Sajad Saeedinaeeni

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We consider the compound memoryless quantum multiple-access channel (QMAC) with two sending terminals. In this model, the transmission is governed by the memoryless extensions of a completely positive and trace preserving map which can be any element of a prescribed set of possible maps. We study a communication scenario, where one of the senders aims for transmission of classical messages, while the other sender sends quantum information. Combining powerful universal random coding results for classical and quantum information transmission over point-to-point channels, we establish universal codes for the mentioned two-sender task. Conversely, we prove that the two-dimensional rate region achievable with these codes is optimal. In consequence, we obtain a multi-letter characterization of the capacity region of each compound QMAC for the considered transmission task.

Original languageEnglish
Article number246
JournalQuantum Information Processing
Volume18
Issue number8
DOIs
StatePublished - 1 Aug 2019

Keywords

  • Entanglement transmission
  • Multiple-access channels
  • Quantum capacities
  • Quantum information theory
  • Random coding

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