Field
Quantum Cryptography
6 records: 5 unsolved, 1 solved. Filter the catalog by this field →
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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 -
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 -
Secret key from every Bell-nonlocal behavior
Does every finite-alphabet Bell-nonlocal behavior have a strictly positive asymptotic secret-key rate against arbitrary individual nonsignalling attacks?
Unsolved -
Polynomial shared-resource lower bounds for routing
Does an explicit total Boolean family require polynomial shared-state cost for bounded-error one-round \(f\)-routing?
Unsolved -
Secret key from every entangled state
Does every finite-dimensional entangled bipartite state have positive asymptotic distillable secret key?
Unsolved -
Honest-party lockability of distillable key
Can loss of one qubit held by an honest party reduce the two-way distillable secret key by an arbitrarily large amount?
Unsolved