TY - JOUR
T1 - Universal random codes
T2 - capacity regions of the compound quantum multiple-access channel with one classical and one quantum sender
AU - Boche, Holger
AU - Janßen, Gisbert
AU - Saeedinaeeni, Sajad
N1 - Publisher Copyright:
© 2019, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2019/8/1
Y1 - 2019/8/1
N2 - 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.
AB - 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.
KW - Entanglement transmission
KW - Multiple-access channels
KW - Quantum capacities
KW - Quantum information theory
KW - Random coding
UR - http://www.scopus.com/inward/record.url?scp=85067649210&partnerID=8YFLogxK
U2 - 10.1007/s11128-019-2358-7
DO - 10.1007/s11128-019-2358-7
M3 - Article
AN - SCOPUS:85067649210
SN - 1570-0755
VL - 18
JO - Quantum Information Processing
JF - Quantum Information Processing
IS - 8
M1 - 246
ER -