Author

Omar Al-Ghattas

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Jul 2026

Circuit complexity lower bounds for quantum spin glasses

It is shown that the entanglement needed to close the product-state gap cannot be generated at shallow depth, and a fixed-depth obstruction is proved: for every fixed $D$, a sufficiently large degree prefactor rules out depth-$D$ preparation of near-ground states.

Omar Al-Ghattas, David Gamarnik · arXiv.org · 0 citations