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math.CO2026
New Records for the Hadamard Maximal Determinant Problem
Giorgi Butbaia, Pragatheeswaran Vipulanandan, Justin Tan +6
The Hadamard maximal determinant problem seeks an matrix with entries in , which maximizes the determinant for a given order $n \in…
cs.DM2026
New Snake-in-the-Box Records via Snakepit Surgery and Learned Construction
Paul Orland, Lucas Fagan, Michele Tarquini +7
The snake-in-the-box problem asks for a longest induced path in the hypercube graph . We find a length-191 snake in dimension , the lowest dimension where the maximum is…
quant-ph2026
Open Quantum Systems Driven by Chirped Pulses: Quantized versus Semiclassical Fields and the Validity of the Rotating-Wave Approximation
Justin Zhengjie Tan, Frank Großmann, Yiying Yan +2
Population transfer via chirped rapid adiabatic passage is studied using open quantum and semiclassical models, with and without the rotating-wave approximation. A time-dependent v…