Topic
Bosonic channels
12 records: 11 unsolved, 1 solved. Filter the catalog by this topic →
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Candidate pure-loss second-order converse
Does the pure-loss bosonic channel admit the following candidate second-order classical converse under a maximum-photon-number occupation constraint?
Solved -
Finite-energy superactivation of Gaussian amplifiers and additive-noise channels
Is there a single-mode phase-insensitive Gaussian amplifier or additive-noise channel of zero finite-energy quantum capacity that acquires positive finite-energy quantum capacity when used in parallel with a two-mode positive-partial-transpose Gaussian channel…
Unsolved -
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?
Unsolved -
Quantum capacity of a bosonic thermal attenuator
What is the unassisted quantum capacity of a single-mode thermal attenuator at every strictly positive finite environment temperature?
Unsolved -
Low-energy Holevo additivity for a squeezed thermal attenuator
Is energy-constrained Holevo information additive for a squeezed thermal attenuator below its water-filling threshold?
Unsolved -
Two-way quantum capacity of a thermal amplifier
What is the two-way quantum capacity of a thermal amplifier for every gain and thermal noise level?
Unsolved -
Unassisted quantum capacity of a thermal amplifier
What is the unassisted quantum capacity of a thermal amplifier for every gain and thermal noise level?
Unsolved -
Entropy photon-number inequality
Does the entropy photon-number inequality hold for every pair of independent finite-energy bosonic inputs?
Unsolved -
Positivity threshold for thermal-attenuator quantum capacity
For \(0<\eta<1\) and \(0<\nu<\infty\), let the single-mode bosonic thermal attenuator be
Unsolved -
Energy-constrained quantum capacity of a thermal attenuator
For \(0<\eta<1\) and \(0<\nu<\infty\), let the single-mode bosonic thermal attenuator be
Unsolved -
Multimode constrained output entropy of a pure-loss channel
Is Guha’s multimode Strong Conjecture 2 true for every correlated input state?
Unsolved -
Quantum capacity of the Gaussian random-displacement channel
What is the unconstrained, unassisted quantum capacity of the single-mode Gaussian random-displacement channel?
Unsolved