Question

Specific representations of these mathematical objects called “spiders” are generators of a string diagram in ZX-calculus. Quantum circuits are represented using these objects in networks that can be described using (10[1])Penrose notation. A multi-particle Hilbert space is constructed by applying an operation named for these objects that, when applied to spaces of dimensions m and n, produces one of dimension m times n. (10[1])These objects can be divided into covariant and contravariant components. A generalization of trace on these objects called “contraction” applies when an index appears as both a subscript and superscript in Einstein notation. (10[1])A product named for these objects is denoted by a times symbol inside a circle. For 10 points, name these objects that correspond to multilinear maps and whose rank-2 representations are matrices. ■END■ (10[1]0[1])

ANSWER: tensors [accept tensor products or tensor networks; prompt on multilinear maps until read]
<UNC A, Physics>
= Average correct buzz position

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Buzzes

PlayerTeamOpponentBuzz PositionValue
Nathan SheffieldMIT ABU2910
Jerry ZhangHarvard BTufts A6210
Philip YaoBrown AHarvard A9510
Jake MarkusDartmouth ABrandeis B12810
Jonathan SchnipperBrandeis AUMass Boston1280

Summary

California2025-02-01Y3100%0%33%88.33
Florida2025-02-01Y2100%0%0%80.00
Great Lakes2025-02-01Y667%0%67%108.00
Lower Mid-Atlantic2025-02-01Y667%0%50%99.00
Midwest2025-02-01Y6100%0%33%92.83
North2025-02-01Y3100%0%0%74.67
Northeast2025-02-01Y580%0%0%78.50
Overflow2025-02-01Y560%0%40%94.67
South Central2025-02-01Y2100%0%0%78.50
Southeast2025-02-01Y3100%0%0%64.67
UK2025-02-01Y1090%0%40%109.22
Upper Mid-Atlantic2025-02-01Y786%0%14%89.33
Upstate NY2025-02-01Y367%0%0%84.00