TY - JOUR
T1 - Capacity Estimates via Comparison with TRO Channels
AU - Gao, Li
AU - Junge, Marius
AU - LaRacuente, Nicholas
N1 - Publisher Copyright:
© 2018, Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2018/11/1
Y1 - 2018/11/1
N2 - A ternary ring of operators (TRO) in finite dimensions is an operator space as an orthogonal sum of rectangular matrices. TROs correspond to quantum channels that are diagonal sums of partial traces, we call TRO channels. TRO channels have simple, single-letter entropy expressions for quantum, private, and classical capacity. Using operator space and interpolation techniques,we perturbatively estimate capacities, capacity regions, and strong converse rates for a wider class of quantum channels by comparison to TRO channels.
AB - A ternary ring of operators (TRO) in finite dimensions is an operator space as an orthogonal sum of rectangular matrices. TROs correspond to quantum channels that are diagonal sums of partial traces, we call TRO channels. TRO channels have simple, single-letter entropy expressions for quantum, private, and classical capacity. Using operator space and interpolation techniques,we perturbatively estimate capacities, capacity regions, and strong converse rates for a wider class of quantum channels by comparison to TRO channels.
UR - http://www.scopus.com/inward/record.url?scp=85053449748&partnerID=8YFLogxK
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U2 - 10.1007/s00220-018-3249-y
DO - 10.1007/s00220-018-3249-y
M3 - Article
AN - SCOPUS:85053449748
SN - 0010-3616
VL - 364
SP - 83
EP - 121
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 1
ER -