Round 7: Tossup 11
This quantity characteristically scales logarithmically with evolution time in systems displaying many-body localization. This quantity evolves over time to form an inverted V shape on the Page curve. For a tripartite quantum system, this quantity obeys strong subadditivity. For pure states, the distillable and squashed entanglements reduce to this quantity. For a system with density matrix rho, this quantity equals the negative trace of rho times log rho. By the Bekenstein–Hawking formula, the area of a black hole is proportional to its value of this quantity. In classical information theory, this quantity expresses the absence of information about a system and is measured in shannons. For 10 points, name this quantity that increases in accordance with the second law of thermodynamics. ■END■
ANSWER: entropy [accept entanglement entropy or entropy of entanglement; accept von Neumann entropy or quantum entropy; accept information entropy; prompt on information until read by asking “what quantity that describes the amount of information?”]
<GC, Physics> | Packet G - McMaster A, Notre Dame C, Rutgers A, NYU A
= Average correct buzzpoint
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