Quantum Games: New Regret Metric Addresses Local CPTP Deviations

Researchers have introduced a new metric called "coherent swap regret" to evaluate stability in quantum games, which accounts for local quantum operations beyond simple behavior replacement. An algorithm using entropic mirror ascent on the CPTP Choi slice achieves a regret of $O(\sqrt{dT\log d})$. This work establishes a three-level deviation-class landscape, showing that while unitary deviations have zero minimax regret, deterministic measurement-and-preparation channels necessitate significant regret, highlighting the challenge posed by non-unital recommendations. AI

RANK_REASON Academic paper published on arXiv detailing a new theoretical concept and algorithm. [lever_c_demoted from research: ic=1 ai=0.1]

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• arXiv
• Coherent Swap Regret
• entropic mirror ascent

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