From Wavefunction Regularity to Eigenvector Conditioning: Accuracy--Cost Trade-offs of Quantum Algorithms for Non-Hermitian Transcorrelated Hamiltonians

arXiv:2609.39452 · quant-ph, physics.chem-ph · Submitted 2026-09-30 · Read on arXiv

quant-ph, physics.chem-ph

Submitted: 2026-09-30

Updated: 2026-09-30

Terminology

• Accuracy — 33× in this paper · explained in 1 episode
• Query Complexity — 3× in this paper · explained in 2 episodes
• Degeneracy — 2× in this paper · explained in 3 episodes
• Admissibility — 1× in this paper · explained in 2 episodes
• Benchmark — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Pruning — 1× in this paper · explained in 4 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Interpolative Separable Density-Fitting for Transcorrelated Hamiltonians
• Improving the accuracy of quantum computational chemistry using the transcorrelated method
• Real-Space Chemistry on Quantum Computers: A Fault-Tolerant Algorithm with Adaptive Grids and Transcorrelated Extension
• Heisenberg-Limited Quantum Eigenvalue Estimation for Non-normal Matrices
• A Denser Planar Surface Code

Related papers

• Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Polynomial-time classical and quantum simulation of quantum impurity models
• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
• Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity