8 papers
A unified quantum computing quantum Monte Carlo framework through structured state preparation
Giuseppe Buonaiuto, Antonio Marquez Romero, Brian Coyle +4
We extend Quantum Computing Quantum Monte Carlo (QCQMC) beyond ground-state energy estimation by systematically constructing the quantum circuits used for state preparation. Replac…
Quantum Randomized Subspace Iteration
Stefano Scali, Brian Coyle, Giuseppe Buonaiuto +1
Resolving degenerate quantum eigenspaces - including topologically ordered ground states and frustrated magnets - requires preparing high-fidelity states that span every direction…
Progressive Binarization - Pauli Correlation Encoding: a Continuation Method for Constrained Optimization
Jacobo PadÃn-MartÃnez, Vicente P. Soloviev, Alejandro Borrallo-Rentero +3
Pauli Correlation Encoding (PCE) reduces the qubit requirements of quantum optimization by embedding the problem variables into the expectation values of Pauli observables, so that…
Study of nuclear magnetic resonance spectra with the multi-modal multi-level quantum complex exponential least squares algorithm
Antonio Marquez Romero, Josh J. M. Kirsopp, Giuseppe Buonaiuto +1
We present a novel application of the multi-modal, multi-level quantum complex exponential least squares (MM-QCELS) algorithm, a state-of-the-art, early fault-tolerant quantum phas…
Purified phase estimation samples spectra efficiently
Stefano Scali, Josh Kirsopp, Antonio Márquez Romero +1
Quantum phase estimation (QPE) is a cornerstone algorithm for extracting Hamiltonian eigenvalues, but its standard, eigenstate-centric form relies on carefully prepared coherent in…
A simple method for seniority-zero quantum state preparation
Michal Krompiec, Josh J. M. Kirsopp, Antonio Márquez Romero +1
Quantum Phase Estimation (QPE), the quantum algorithm for estimating eigenvalues of a given Hermitian matrix and preparing its eigenvectors, is considered the most promising approa…