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 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

Does the pure-loss bosonic channel admit the following candidate second-order classical converse under a maximum-photon-number occupation constraint?

• Quantum Communication
• Bosonic channels
• Classical capacity
• 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 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