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arXiv · 2609.23221

A remark on the Brown-Susskind conjecture

Jean-Luc Brylinski·Ranee Brylinski
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Abstract

In the spirit of the Brown-Susskind conjecture, proven in \cite{haf} and \cite{li}, we study the growth of the dimension of the set of $n$-qubit unitaries which can be obtained as a product of a fixed number of $2$-qubit gates from a fixed set of pairs of qubits. We show that this dimension increases strictly when one more pair is added, for at least some choice of the $2$-qubit pairs at each step.

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Jean-Luc Brylinski, Ranee Brylinski. 2026-09-19. A remark on the Brown-Susskind conjecture. https://arxiv.org/abs/2609.23221

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