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The sensitivity conjecture, induced subgraphs of cubes, and Clifford algebras

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abstract

We give another version of Huang's proof that an induced subgraph of the n-dimensional cube graph containing over half the vertices has maximal degree at least $\sqrt{n}$, which implies the Sensitivity Conjecture. This argument uses Clifford algebras of positive definite signature in a natural way. We also prove a weighted version of the result.

years

2019 1

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ACCEPT 1

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Majorana fermions and the Sensitivity Conjecture

cond-mat.stat-mech · 2019-08-17 · accept · novelty 2.0

Huang's pseudo-adjacency matrix in the Sensitivity Conjecture proof is the zero-momentum Majorana operator from the Jordan-Wigner transformation.

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  • Majorana fermions and the Sensitivity Conjecture cond-mat.stat-mech · 2019-08-17 · accept · none · ref 9 · internal anchor

    Huang's pseudo-adjacency matrix in the Sensitivity Conjecture proof is the zero-momentum Majorana operator from the Jordan-Wigner transformation.