Packet 8: Tossup 8
An upper bound on a form of this quantity does not scale with the system size of the AKLT state by an “area law.” Discrete-time dynamical systems are characterized by a “metric” form of this property alternatively named for Kolmogorov (“kull-ma-GOR-uff”) and Sinai, which is positive for chaotic motion. Taking the Legendre transform of this quantity obtains Massieu–Planck potentials. Selection of probability distributions is guided by a principle that this quantity should be maximized. Because this quantity is maximized by the Gaussian distribution, deviation from normality is measured by so-called “neg-[this quantity].” A quantum analogue of this quantity equals the trace of the density matrix times the natural log of the density matrix and is named for von Neumann (“NOY-mahn”). For 10 points, an information-theoretic version of what quantity was developed by Shannon? ■END■
Buzzes
Summary
| Tournament | Edition | Match | Heard | Conv. % | Neg % | Avg. Buzz |
|---|---|---|---|---|---|---|
| Main Site | 2026-04-17 | ✓ | 20 | 100% | 30% | 112.70 |