One-shot and finite-blocklength bounds

What is the high-dimensional crossover fidelity of optimized deterministic port-based teleportation?

• Quantum Communication
• Channel simulation
• One-shot and finite-blocklength bounds

Can list-dependent shadow tomography always achieve dimension-free copy complexity \(O(\log M/\varepsilon^2)\)?

• Quantum Metrology
• Quantum estimation
• One-shot and finite-blocklength bounds

Can arbitrary mixed fermionic Gaussian states be learned to trace distance \(\varepsilon\) from \(\Theta(m^2/\varepsilon^2)\) copies without measurements across copies?

• Quantum Metrology
• Quantum estimation
• Gaussian quantum information
• One-shot and finite-blocklength bounds

What is the minimax copy complexity of identity testing two unknown \(k\)-local Gibbs states using only measurements on individual copies?

• Quantum Metrology
• Quantum Algorithm
• Quantum hypothesis testing
• One-shot and finite-blocklength bounds
• Quantum thermodynamics

What is the optimal success probability for a fixed catalyst-free stabilizer protocol that converts eight copies of an arbitrary unknown pure qubit into an exact \(|CCZ\rangle\) state?

• Quantum Resource Theory
• Quantum magic
• Resource conversion
• One-shot and finite-blocklength bounds

Does tomography of an arbitrary \(d\)-dimensional quantum channel in diamond norm require and suffice with \(\Theta(d^4/\varepsilon^2)\) channel uses?

• Quantum Metrology
• Quantum estimation
• One-shot and finite-blocklength bounds

Does the max-relative entropy of finite-dimensional quantum channels satisfy an asymptotic equipartition property under uniform diamond-norm smoothing?

• Quantum Communication
• Quantum relative entropy
• One-shot and finite-blocklength bounds

What computable expression, if any, equals the regularized exact PPT distillable entanglement of a bipartite state?

• Quantum Resource Theory
• Entanglement distillation
• PPT-preserving operations
• Additivity and regularization
• One-shot and finite-blocklength bounds

What is the maximal success probability for preparing an approximate two-mode squeezed vacuum from finitely many copies of a non-Gaussian state?

• Quantum Resource Theory
• Gaussian quantum information
• Entanglement distillation
• One-shot and finite-blocklength bounds

What is the asymptotic classical-communication cost of simulating a bipartite quantum channel with bidirectional classical communication and non-signalling assistance?

• Quantum Communication
• Quantum Resource Theory
• Channel simulation
• Quantum communication complexity
• Quantum relative entropy
• One-shot and finite-blocklength bounds

What are the exact one-shot coherence and work costs of implementing an arbitrary Gibbs-preserving channel by thermal operations?

• Quantum Resource Theory
• Quantum thermodynamics
• Channel simulation
• One-shot and finite-blocklength bounds
• Resource conversion

Let \(H\) be a \(d\)-dimensional Hilbert space.

• Quantum Resource Theory
• Quantum Communication
• Quantum hypothesis testing
• Quantum relative entropy
• One-shot and finite-blocklength bounds