Previous bonus - Next bonus

Packet 7: Bonus 10

The problem of determining whether states have this property is NP-hard, though in low-dimensions, one can use the positive partial transpose criterion. For 10 points each:
[10m] Name this property of quantum states that can be written as a convex combination of product states. States without this property are entangled.
ANSWER: separability [or word forms such as separable]
[10e] Separable states are bounded by inequalities arising from this theorem, which states that local hidden-variable theories do not exist.
ANSWER: Bell’s theorem
[10h] In quantum information theory, entangled states are “detected” by these operators, which are positive on all separable states. These operators necessarily exist because the set of separable states is always convex.
ANSWER: entanglement witnesses [or witness operators]
<Georgia Tech A, Physics> | G. Prelims 7 - Georgia Tech A + Berkeley A + Bruin + Georgetown

HeardPPBE %M %H %
2110.0091%10%0%

Back to bonuses

Conversion

TeamOpponentPart 1Part 2Part 3TotalParts
CambridgeColumbia A010010E
Chicago BMichigan010010E
Columbia BMaryland A1010020ME
Georgia Tech BUCLA010010E
Georgia Tech CNorthwestern A010010E
Illinois ABrown010010E
MITCornell010010E
MinnesotaVirginia Tech0000
NYU ANorthwestern B010010E
NYU BIndiana010010E
Ohio StateSwarthmore010010E
PurdueMaryland B010010E
Stanford BJohns Hopkins010010E
TexasChicago A010010E
Toronto APenn State010010E
Toronto BStanford A1010020ME
UC Berkeley BVanderbilt010010E
UCFBritish Columbia0000
VirginiaNorth Carolina010010E
WashUHarvard010010E
WaterlooPittsburgh010010E

Summary

TournamentEditionMatchHeardPPBE %M %H %
Main Site2026-04-17✓2110.0091%10%0%