Field
Quantum Cryptography
16 records: 15 unsolved, 1 solved. Filter the catalog by this field →
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Pseudorandom unitaries from ordinary random two-qubit circuits
Does a polynomial-length random walk generated by ordinary two-qubit gates form a pseudorandom-unitary ensemble?
Unsolved -
One-way state generation from private Hamiltonian phase states
Do private-architecture Hamiltonian phase states yield a one-way state generator for explicit polynomial parameters?
Unsolved -
Scalable pseudorandom unitaries with an independent security parameter
Can pseudorandom-unitary security scale independently of Hilbert-space dimension while construction uses only polynomially many oracle queries?
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Superactivation of bipartite classical secret-key rates
Can two classical sources, each with zero secret-key rate between two honest parties, yield a positive secret-key rate when used jointly?
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Superactivation of distillable secret key
Can two bipartite quantum states with zero distillable secret key yield positive distillable secret key when used jointly?
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Superactivation of two-way secret-key capacity
Can two quantum channels with zero two-way-assisted secret-key capacity have positive secret-key capacity when used jointly?
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Channels superactivated by antidegradable helpers
What necessary and sufficient structural conditions characterize the finite-dimensional channels of zero quantum capacity, and separately those of zero private capacity, that acquire a positive capacity of the same kind when used in parallel with some antidegradable…
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Secret-key capacity of thermal attenuators and amplifiers
What is the secret-key capacity of a thermal attenuator for every transmissivity and thermal noise level?
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Exact privacy-amplification exponent under relative-entropy security
What is the optimal exponential rate of decay of relative-entropy insecurity achievable by two-universal hashing against quantum side information at every positive extraction rate below the conditional entropy?
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Two-way secret-key capacity of the qubit amplitude-damping channel
What is the exact secret-key capacity \(K(\mathcal A_p)\) of the qubit amplitude-damping channel for every damping probability \(p\in[0,1]\)?
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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
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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?
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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?
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Secret key from every entangled state
Does every finite-dimensional entangled bipartite state have positive asymptotic distillable secret key?
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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