most citedThe Complexity of Local Stoquastic Hamiltonians on 2D Lattices

1 citations · 1 across the 6 of their papers we have counts for

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6 papers

quant-ph2026

On the Computational Complexity of Guided Berry Phase Estimation

Gabriel Waite

We prove that deciding the Berry phase for parameterised 2-local qubit Hamiltonians is BQP-complete when presented with a classical description of a guiding state, promised to over…

quant-ph2025

Efficient Fidelity Estimation with Few Local Pauli Measurements

Mingyu Sun, Gabriel Waite, Michael Bremner +1

As quantum devices scale, quantifying how close an experimental state aligns with a target becomes both vital and challenging. Fidelity is the standard metric, but existing estimat…

quant-ph2025

The Guided Local Hamiltonian Problem for Stoquastic Hamiltonians

Gabriel Waite

We show that the Guided Local Hamiltonian problem for stoquastic Hamiltonians is (promise) BPP-hard. The Guided Local Hamiltonian problem extends the Local Hamiltonian problem by i…

quant-ph2025

On the Complexity of the Succinct State Local Hamiltonian Problem

Gabriel Waite, Karl Lin

We study the computational complexity of the Local Hamiltonian problem under the promise that its ground state is succinctly represented. We show that the Succinct State 2-Local Ha…

quant-ph2025

Physically-Motivated Guiding States for Local Hamiltonians

Gabriel Waite, Karl Lin, Samuel J Elman +1

We study the computational complexity of the Guided Local Hamiltonian problem: given a local Hamiltonian together with a classical description of a guiding state that has non-n…

quant-ph2025★ 1 cited

The Complexity of Local Stoquastic Hamiltonians on 2D Lattices

Gabriel Waite, Michael J. Bremner

We show the 2-Local Stoquastic Hamiltonian problem on a 2D square qubit lattice is StoqMA-complete. We achieve this by extending the spatially sparse circuit construction of Olivei…