Coherent Swap Regret and Channel-Proof Learning
Summary
arXiv:2606.02655v1 Announce Type: new Abstract: External regret certifies stability only against replacing one's behavior by a fixed alternative. In a quantum game, this misses a natural physical move: a player can apply a local completely positive trace-preserving (CPTP) map to the state it actually received or prepared. We introduce coherent swap regret as the regret benchmark against all such local CPTP deviations, and give an algorithm achieving $O(\sqrt{dT\log d})$ coherent swap regret via entropic mirror ascent on the CPTP Choi slice with a fixed-point play rule.
Why It Matters
This Quantum development moves quantum capability closer to commercial and national-security relevance. For Asia, it is a signal worth tracking: it shapes who supplies, who scales, and who sets the standard over the next five years.
Key Facts
- SectorQuantum
- Market—
- ImpactLow (42/100)
- SignalResearch