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quant-ph2026
An efficient Hamiltonian-based quantum algorithm for characters of the symmetric group
Dikshant Rathore, Leo Zhou
Consider a quantum state vector proportional to any given column of the character table of the symmetric group (), corresponding to a superposition over the irreps weighted by…
quant-ph2026
Gibbs Sampling in the Shattered Phase by Decoded Quantum Interferometry
Leo Zhou, Noah Shutty, Mark Sellke +1
We apply Decoded Quantum Interferometry (DQI) to sample from the Gibbs measures of classical Ising spin Hamiltonians. We show that this Gibbs sampling problem reduces to a quantum…