Tossup
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 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. 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. 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■
Buzzes
Summary
| Tournament | Edition | TUH | Conv. % | Neg % | Average Buzz |
|---|---|---|---|---|---|
| California | 2025-02-01 | 3 | 100% | 33% | 88.33 |
| Florida | 2025-02-01 | 2 | 100% | 0% | 80.00 |
| Great Lakes | 2025-02-01 | 6 | 67% | 67% | 108.00 |
| Lower Mid-Atlantic | 2025-02-01 | 6 | 67% | 50% | 99.00 |
| Midwest | 2025-02-01 | 6 | 100% | 33% | 92.83 |
| North | 2025-02-01 | 3 | 100% | 0% | 74.67 |
| Northeast | 2025-02-01 | 5 | 80% | 0% | 78.50 |
| Overflow | 2025-02-01 | 5 | 60% | 40% | 94.67 |
| South Central | 2025-02-01 | 2 | 100% | 0% | 78.50 |
| Southeast | 2025-02-01 | 3 | 100% | 0% | 64.67 |
| UK | 2025-02-01 | 10 | 90% | 40% | 109.22 |
| Upper Mid-Atlantic | 2025-02-01 | 7 | 86% | 14% | 89.33 |
| Upstate NY | 2025-02-01 | 3 | 67% | 0% | 84.00 |