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Conical Designs and Categorical Jordan Algebraic Post-Quantum Theories

by Matthew A. Graydon

1 cards · Thesis

Masters thesis — University of Waterloo, 2017. Full text: https://archive.org/details/arxiv-1703.06800

Card #c1400SynthesisThesis

Conical Designs and Categorical Jordan Algebraic Post-Quantum Theories

The geometric structures behind quantum measurement — symmetric informationally complete measurements and mutually unbiased measurements — are special cases of a broader structure, 'conical t-designs,' that charts the landscape of possible physical theories beyond quantum mechanics.

— In our words · Source: Conical Designs and Categorical Jordan Algebraic Post-Quantum Theories (Matthew A. Graydon)

[Use when]

When the same special cases keep recurring, look for the structure they share — generalization is the move.

[Why it matters]

It generalizes the math of quantum measurement — the same geometry underpins quantum measurement design and error-correction schemes, and the second half of the thesis uses it to map candidate post-quantum theories.

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