TY - JOUR
T1 - Superadditivity of the Classical Capacity with Limited Entanglement Assistance
AU - Zhu, Elton Yechao
AU - Zhuang, Quntao
AU - Shor, Peter W.
N1 - Publisher Copyright:
© 2017 American Physical Society.
PY - 2017/7/27
Y1 - 2017/7/27
N2 - Finding the optimal encoding strategies can be challenging for communication using quantum channels, as classical and quantum capacities may be superadditive. Entanglement assistance can often simplify this task, as the entanglement-assisted classical capacity for any channel is additive, making entanglement across channel uses unnecessary. If the entanglement assistance is limited, the picture is much more unclear. Suppose the classical capacity is superadditive, then the classical capacity with limited entanglement assistance could retain superadditivity by continuity arguments. If the classical capacity is additive, it is unknown if superadditivity can still be developed with limited entanglement assistance. We show this is possible, by providing an example. We construct a channel for which the classical capacity is additive, but that with limited entanglement assistance can be superadditive. This shows entanglement plays a weird role in communication, and we still understand very little about it.
AB - Finding the optimal encoding strategies can be challenging for communication using quantum channels, as classical and quantum capacities may be superadditive. Entanglement assistance can often simplify this task, as the entanglement-assisted classical capacity for any channel is additive, making entanglement across channel uses unnecessary. If the entanglement assistance is limited, the picture is much more unclear. Suppose the classical capacity is superadditive, then the classical capacity with limited entanglement assistance could retain superadditivity by continuity arguments. If the classical capacity is additive, it is unknown if superadditivity can still be developed with limited entanglement assistance. We show this is possible, by providing an example. We construct a channel for which the classical capacity is additive, but that with limited entanglement assistance can be superadditive. This shows entanglement plays a weird role in communication, and we still understand very little about it.
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U2 - 10.1103/PhysRevLett.119.040503
DO - 10.1103/PhysRevLett.119.040503
M3 - Article
C2 - 29341761
AN - SCOPUS:85026473396
SN - 0031-9007
VL - 119
JO - Physical review letters
JF - Physical review letters
IS - 4
M1 - 040503
ER -