Round 5: 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 (10[1])of rho (10[3])times log rho. By the Bekenstein–Hawking formula, the area of a black hole is proportional to its value of this quantity. In classical (-5[1])information theory, (-5[1])this quantity expresses the absence of information about a system (-5[1])and is measured in shannons. For (10[1])10 points, (10[2])name this quantity that increases in accordance with the second law of thermodynamics. (10[1]) (10[3])■END■

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