Topic
Gaussian quantum information
14 records: 7 unsolved, 7 solved. Filter the catalog by this topic →
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Wigner entropy conjecture
Does every finite-energy single-mode state with a nonnegative Wigner function have Wigner entropy at least \(1+\ln\pi\)?
Solved -
Gaussian entanglement of formation beyond bisymmetry
Does Gaussian entanglement of formation equal unrestricted entanglement of formation for every non-bisymmetric multimode Gaussian state?
Unsolved -
Gaussian-measurement equality with the Holevo bound
When does the optimal single-copy Gaussian-measurement cost equal the Holevo bound?
Unsolved -
Optimal single-copy tomography of fermionic Gaussian states
Can arbitrary mixed fermionic Gaussian states be learned to trace distance \(\varepsilon\) from \(\Theta(m^2/\varepsilon^2)\) copies without measurements across copies?
Unsolved -
LOCC entanglement cost of PPT-entangled Gaussian states
What is the exact LOCC entanglement cost of a finite-energy PPT-entangled Gaussian state?
Unsolved -
Additivity of entanglement of formation for two-mode Gaussian states
Is unrestricted entanglement of formation additive on tensor powers of every finite-energy two-mode Gaussian state?
Unsolved -
Gaussian optimality of two-mode entanglement of formation
Does Gaussian entanglement of formation equal unrestricted entanglement of formation for every finite-energy two-mode Gaussian state?
Solved -
Two-way distillable entanglement of mixed two-mode Gaussian states
What is the exact two-way distillable entanglement of a finite-energy mixed two-mode Gaussian state?
Unsolved -
Optimal success probability for Gaussian processing of non-Gaussian entanglement
What is the maximal success probability for preparing an approximate two-mode squeezed vacuum from finitely many copies of a non-Gaussian state?
Unsolved -
Gaussian-input preservation under a Gaussian reference extension
Does preservation of Gaussian inputs by a trace-decreasing operation imply preservation when a Gaussian reference is attached?
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Strict stationary squeezing limit for one-mode thermal diffusion
Does every stable one-mode thermal Gaussian diffusion obey the sharp stationary squeezing bound \(\lambda_{\min}(V_\infty)>\nu/2\)?
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Single-seed post-processing of Gaussian POVM densities
Is every POVM with Gaussian density a classical post-processing of one displaced Gaussian seed?
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Optimal output monitoring for parametric-oscillator squeezing
Can any causal output measurement improve the mean conditional position squeezing achieved by ideal homodyne detection?
Solved -
Exact covariance criterion for bipartite Gaussian separability
What necessary and sufficient condition on a covariance matrix characterizes bipartite Gaussian separability?
Solved