Simultaneous superadditivity of the direct and complementary channel
capacities
- URL: http://arxiv.org/abs/2301.05142v1
- Date: Thu, 12 Jan 2023 16:58:12 GMT
- Title: Simultaneous superadditivity of the direct and complementary channel
capacities
- Authors: Satvik Singh and Sergii Strelchuk
- Abstract summary: We show that coherent and private information of a channel and its complement can be simultaneously superadditive for arbitrarily many channel uses.
For a varying number of channel uses, we show that these quantities can obey different interleaving sequences of inequalities.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum communication channels differ from their classical counterparts
because their capacities can be superadditive. The principle of monogamy of
entanglement suggests that superadditive improvements in the transmission
capacity of a channel should reduce the amount of information loss to the
environment. We challenge this intuition by demonstrating that the coherent and
private information of a channel and its complement can be simultaneously
superadditive for arbitrarily many channel uses. To quantify the limits of this
effect, we consider the notion of max (resp. total) private information of a
channel, which represents the maximum (resp. sum) of the private information of
the channel itself and its complement, and study its relationship with the
coherent information of the individual direct and complementary channels. For a
varying number of channel uses, we show that these quantities can obey
different interleaving sequences of inequalities.
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