Efficiently Computable Strategies and Limits for Bosonic Channel Discrimination

arXiv:2603.19911 · quant-ph · Submitted 2026-03-20 · Read on arXiv

quant-ph

Submitted: 2026-03-20

Updated: 2026-09-21

Comments: 7 pages, 5 figures and 20 pages of appendices

Journal ref: Physical Review A, vol. 114, no. 3, page 032441, September 2026

DOI: 10.1103/fypm-kjt6

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Error Exponents — 14× in this paper · explained in 2 episodes
• Hilbert Space — 11× in this paper · explained in 2 episodes
• Entanglement — 4× in this paper · explained in 3 episodes
• Generalization — 4× in this paper · explained in 13 episodes
• Trace — 4× in this paper · explained in 2 episodes
• Transformer — 4× in this paper · explained in 2 episodes
• Benchmark — 3× in this paper · explained in 2 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Additivity — 2× in this paper · explained in 1 episode
• Query Complexity — 2× in this paper · explained in 2 episodes
• Semidefinite Program (SDP) — 2× in this paper · explained in 2 episodes
• Adaptive Strategy — 1× in this paper · explained in 1 episode
• Objective Function — 1× in this paper · explained in 2 episodes
• Regularization — 1× in this paper · explained in 3 episodes

Sources

• Infinite Dimensional Asymmetric Quantum Channel Discrimination
• Barycentric bounds on the error exponents of quantum hypothesis exclusion
• Composite Classical and Quantum Channel Discrimination
• Optimal estimation and discrimination of excess noise in thermal and amplifier channels
• Quantum sensing of phase-covariant optical channels
• A new quantum version of f-divergence
• Geometric R'{e}nyi Divergence and its Applications in Quantum Channel Capacities
• Principles of Quantum Communication Theory: A Modern Approach
• Semidefinite optimization of the quantum relative entropy of channels
• Optimising the relative entropy under semidefinite constraints
• Semi-definite optimization of the measured relative entropies of quantum states and channels
• Query Complexity of Classical and Quantum Channel Discrimination
• Approaches for approximate additivity of the Holevo information of quantum channels
• Energy-constrained diamond norm with applications to the uniform continuity of continuous variable channel capacities

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