Topic
Private capacity
5 records: 2 unsolved, 3 solved. Filter the catalog by this topic →
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Squashed entanglement of the qubit depolarizing channel
What is the squashed entanglement \(E_{\mathrm{sq}}(\Lambda_p)\) of the qubit depolarizing channel, defined for a mixing parameter \(p\in[0,1]\) by
Unsolved -
Private capacity of the qubit depolarizing channel
What is the private classical capacity \(P(\Lambda_p)\) of the qubit depolarizing channel, defined for a mixing parameter \(p\in[0,1]\) by
Unsolved -
Strict inclusion of degradable channels in the less-noisy class
Do there exist finite-dimensional quantum channels that are less noisy in Watanabe’s regularized sense but are not degradable?
Equivalent question: Regularized less-noisy channels beyond degradability. Counted once in question totals.
Solved -
Regularized less-noisy channels beyond degradability
Does there exist a finite-dimensional regularized less-noisy quantum channel that is not degradable?
Equivalent question: Strict inclusion of degradable channels in the less-noisy class. Counted once in question totals.
Solved -
Universal finite truncation of quantum and private capacities
Do there exist channel-independent finite integers \(m_Q\) and \(m_P\) that determine, respectively, the quantum capacity and the private classical capacity of every finite-dimensional quantum channel?
Solved