TY - GEN
T1 - Uncertainty Principle for Quantum Channels
AU - Gao, Li
AU - Junge, Marius
AU - Laracuente, Nicholas
N1 - Funding Information:
ACKNOWLEDGMENT We thank Mark M. Wilde for comments on a preliminary version of this work. LG acknowledges support from Trjitzin-sky Fellowship. LG and NL acknowledge support from NSF grant DMS-1700168. NL is supported by Graduate Research Fellowship Program DMS-1144245. MJ is partially supported by NSF grant DMS-1501103. We are grateful to Institut Henri Poincaré’s hospitality during participation in the trimester “Analysis in Quantum Information Theory”.
Funding Information:
We thank Mark M. Wilde for comments on a preliminary version of this work. LG acknowledges support from Trjitzinsky Fellowship. LG and NL acknowledge support from NSF grant DMS-1700168. NL is supported by Graduate Research Fellowship Program DMS-1144245. MJ is partially supported by NSF grant DMS-1501103. We are grateful to Institut Henri Poincare?s hospitality during participation in the trimester "Analysis in Quantum Information Theory".
Publisher Copyright:
© 2018 IEEE.
PY - 2018/8/15
Y1 - 2018/8/15
N2 - We extend the quantum entropic uncertainty principle beyond measurements, to a pair of finite-dimensional quantum channels acting on the same input system. This also generalizes strong super-additivity inequality by giving a lower bound on generalizations of conditional mutual information. Moreover we show that the corresponding 'squashed' conditional mutual information is additive in this general setting.
AB - We extend the quantum entropic uncertainty principle beyond measurements, to a pair of finite-dimensional quantum channels acting on the same input system. This also generalizes strong super-additivity inequality by giving a lower bound on generalizations of conditional mutual information. Moreover we show that the corresponding 'squashed' conditional mutual information is additive in this general setting.
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U2 - 10.1109/ISIT.2018.8437730
DO - 10.1109/ISIT.2018.8437730
M3 - Conference contribution
AN - SCOPUS:85052463524
SN - 9781538647806
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 996
EP - 1000
BT - 2018 IEEE International Symposium on Information Theory, ISIT 2018
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2018 IEEE International Symposium on Information Theory, ISIT 2018
Y2 - 17 June 2018 through 22 June 2018
ER -