Topic
Strong converses
5 records: 2 unsolved, 3 solved. Filter the catalog by this topic →
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Fixed-error parallel Stein lemma for quantum channels
Let \(\mathcal N,\mathcal M:\mathcal L(A)\to\mathcal L(B)\) be quantum channels on finite-dimensional systems.
Unsolved -
Strong converse for the quantum capacity of a general channel
Does every finite-dimensional memoryless quantum channel obey the strong converse at its unassisted quantum capacity?
Solved -
All-code exponential strong converse for degradable channels
Does every finite-dimensional degradable quantum channel satisfy an all-code exponential strong converse for quantum communication at its quantum capacity?
Solved -
Exponential strong converse for transpose-degradable channels
Does every finite-dimensional transpose-degradable channel satisfy an exponential strong converse for quantum communication at its single-letter quantum capacity?
Solved -
Strong converse for general mixed-state quantum compression
Does general finite-dimensional i.i.d.
Unsolved