entropy - 2026 ACF Regionals

Packet G: 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 (10[1])system, this quantity obeys strong subadditivity. (10[1])For pure states, (10[1])the distillable (10[1])and squashed (10[1])entanglements reduce to this quantity. (10[1])For a system with density matrix rho, this quantity equals (10[2])the negative trace (10[1])of rho (10[4])times (10[3])log rho. (10[3])By (10[1])the (10[1])Bekenstein–Hawking (10[3])formula, (10[2])the area of a black hole is proportional (10[4])to its value of this quantity. (10[4]-5[1])In classical (10[1]-5[1])information theory, (10[1]-5[1])this (10[1])quantity expresses the (10[1])absence (10[3])of information about (10[1])a system (10[4]-5[1])and is (10[1])measured in shannons. (10[3])For (10[2])10 (10[1])points, (10[5])name (10[1])this (10[1])quantity that increases in accordance (10[2])with the second (10[1])law (10[1])of thermodynamics. (10[3]) (10[11]0[1])■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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Buzzes

Player	Team	Opponent	Buzzpoint	Value
Imran Abdul Rahman	UCL	Imperial B	31	10
Alex Akridge	Indiana A	Chicago A	37	10
Connor Blake	Chicago B	Illinois C	40	10
Matthew Sumanen	Georgia Tech C	Alabama A	42	10
Danny Han	Stanford B	Berkeley D	44	10
Max Neal	Harvard B	Harvard A	49	10
Karthik Jayaram	UCLA A	UC Santa Barbara	59	10
Matthew He	Texas A	Texas A&M A	59	10
Asha Basu	McGill A	Ottawa	62	10
Kevin Ye	Simon Fraser	Carleton University	64	10
Matthew Wang	UBC A	Western C	64	10
Caleb Ott	Waterloo A	UBC B	64	10
Cade Reinberger	RIT	Rochester	64	10
Shiva Tegulla	Central Florida A	Central Florida C	65	10
Calvin Bostleman	Ohio State A	Pittsburgh	65	10
Delia Cropper	Oxford A	Cambridge A	65	10
Swapnil Garg	Berkeley A	Berkeley C	67	10
Omer Keskin	Edinburgh A	Cambridge B	67	10
Rachel Bentham	Manchester	Imperial A	67	10
Jonathan Huang	MIT	Dartmouth B	68	10
Coby Tran	Chicago C	Northwestern C	69	10
Jaiden Li	UCSD B	UCLA B	70	10
Pace Klein	CWRU A	Ohio State C	70	10
Beckett Pursey	Purdue A	Illinois A	70	10
Aditya Patnaik	Ohio State B	Michigan State	71	10
Artem Borisov	Bristol	Warwick A	71	10
Tanay Bodducherla	Berkeley B	Stanford A	79	10
Rohan Dalal	Georgia Tech A	Iowa State	79	10
Florrie the Mononymous	Southampton A	Durham	79	10
Alec Riso	Cornell A	Cornell B	79	10
Abbott Sherwin	NC State A	VCU	85	10
Dustin Sanders	Chicago D	Illinois B	85	10
Zoe Wang	Carleton College	Minnesota A	85	10
Ollie Glin-Conway	Imperial C	Oxford C	85	10
Joel Dicker	Southampton B	City St. George's	85	-5
Sicheng Jiang	Toronto F	Guelph	87	-5
S. A. Shenoy	Georgia Tech D	WashU A	87	10
Platon Gorokhov	Toronto E	Toronto G	89	-5
Mason Yu	Brown	Brandeis A	89	10
Oliver West	Cambridge C	Warwick B	90	10
Emmanuel Alayande	Florida B	Central Florida B	93	10
Skand Parvatikar	Arizona State	UC Irvine	94	10
Fish Tsai	UCSD A	UCSD C	94	10
Beckett Gillmore	Louisville B	Georgia Tech B	94	10
Sawyer Smith	Mississipi State	Vanderbilt B	97	10
Ethen Sun	Toronto D	McMaster B	99	-5
Charlie Weaver	Virginia Tech B	Liberty C	99	10
Jacob Finley	Notre Dame A	Chicago E	99	10
Caleb West	Kentucky	Tennessee B	99	10
Zoë McGuire	Oxford B	Cardiff	99	10
Krishna Girish	Montpellier	LSE	101	10
Stephen Walsh	Northwestern B	Purdue B	104	10
Nathaniel Martin	Brandeis B	Dartmouth A	104	10
Parker McCoig	Tennessee A	Bruin	104	10
Jason Zhang	Toronto B	Toronto Metropolitan	105	10
Liam Rojas	Virginia	Liberty A	105	10
George Matsumura	Washington A	Washington B	106	10
Franklin Wu	Toronto C	Brock	107	10
Brendan Bridle	Queen's	Western B	107	10
Thomas Glotfelty	Virginia Tech A	Duke	107	10
Wyatt Curry	Missouri A	Missouri B	107	10
Ted Harrison	Edinburgh B	Birmingham	107	10
Peter Smith	Binghamton A	Penn State	108	10
Chris Yoo	William and Mary	North Carolina C	109	10
Dennis Yang	Michigan B	CWRU B	114	10
Alexander Clarke	Yale	Southern Connecticut State	114	10
Khanh Nguyen	Florida C	Florida A	117	10
Kevin Zheng	Michigan A	Michigan C	118	10
Luke Sloan	McGill B	Western A	120	10
Davin Sivertson	Alabama B	Louisville A	120	10
Alan Li	Cornell C	Binghamton B	120	10
Eva Mandelbaum	Guelph	Toronto F	121	10
Yusuf Baig	McMaster B	Toronto D	121	10
Athan Juritsch	Toronto G	Toronto E	121	10
Emily Snider	Liberty B	South Carolina B	121	10
Joseph Cole	North Carolina A	James Madison B	121	10
Suyesh Paraju	NC State B	South Carolina A	121	10
Noah Fine	North Carolina B	Wake Forest	121	10
Emily Justak	Indiana C	Northwestern D	121	10
Nate Kodama	Bowdoin B	Bowdoin A	121	10
William Day	Murray State A	Texas B	121	10
Camden Walker	WashU B	Sewanee	121	10
Zach Foster	City St. George's	Southampton B	121	0

Summary

Tournament	Edition	Match	Heard	Conv. %	Neg %	Avg. Buzz
California (North)	Main Site	✓	3	100%	0%	63.33
California (South)	Main Site	✓	4	100%	0%	79.25
Canada	Main Site	✓	11	100%	27%	96.00
Florida	Main Site	✓	3	100%	0%	91.67
Great Lakes	Main Site	✓	5	100%	0%	87.60
Lower Mid-Atlantic	Main Site	✓	9	100%	0%	109.89
Midwest	Main Site	✓	8	100%	0%	78.13
Northeast	Main Site	✓	6	100%	0%	90.83
Overflow	Main Site	✓	4	100%	0%	94.25
South Central	Main Site	✓	2	100%	0%	90.00
Southeast	Main Site	✓	8	100%	0%	95.50
UK	Main Site	✓	12	92%	8%	78.36
Upstate NY	Main Site	✓	4	100%	0%	92.75