Trade-off relations for operation entropy of complementary quantum channels

@article{Czartowski2019TradeoffRF,
  title={Trade-off relations for operation entropy of complementary quantum channels},
  author={Jakub Czartowski and Daniel Braun and Karol Życzkowski},
  journal={International Journal of Quantum Information},
  year={2019}
}
The entropy of a quantum operation, defined as the von Neumann entropy of the corresponding Choi–Jamiołkowski state, characterizes the coupling of the principal system with the environment. For any quantum channel acting on a state of a given size, one defines the complementary channel, which sends the input state into the state of the environment after the operation. Making use of subadditivity of entropy, we show that for any dimension the sum of both entropies is bounded from below. This… 

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