A General Theory of Multi-Resource Theories Involving Finite-Group Asymmetry

arXiv:2609.40255 · quant-ph · Submitted 2026-09-30 · Read on arXiv

quant-ph

Submitted: 2026-09-30

Updated: 2026-09-30

Terminology

• Entanglement — 25× in this paper · explained in 4 episodes
• Hilbert Space — 12× in this paper · explained in 2 episodes
• Trace — 11× in this paper · explained in 2 episodes
• Gibbs State — 10× in this paper · explained in 2 episodes
• Trace Distance — 8× in this paper · explained in 3 episodes
• Admissibility — 6× in this paper · explained in 2 episodes
• Stabilizer States — 5× in this paper · explained in 2 episodes
• Distillation — 4× in this paper · explained in 2 episodes
• Generalization — 3× in this paper · explained in 13 episodes
• Conservation Laws — 2× in this paper · explained in 3 episodes
• Entanglement Entropy — 2× in this paper · explained in 2 episodes
• Multipartite Entanglement — 1× in this paper · explained in 2 episodes
• Physical Constraints — 1× in this paper · explained in 7 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• Symmetry Breaking — 1× in this paper · explained in 3 episodes

Sources

• Universal trade-off structure between symmetry, irreversibility, and quantum coherence in quantum processes
• The i.i.d. State Convertibility in the Resource Theory of Asymmetry for Finite Groups
• Quantifying Symmetry Breaking with Metric Adjusted Quantum Geometric Tensors

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