2023
Boosting quantum amplitude exponentially in variational quantum algorithms
Kyaw T, Soley M, Allen B, Bergold P, Sun C, Batista V, Aspuru-Guzik A. Boosting quantum amplitude exponentially in variational quantum algorithms. Quantum Science And Technology 2023, 9: 01lt01. DOI: 10.1088/2058-9565/acf4ba.Peer-Reviewed Original ResearchVariational quantum algorithmsQuantum algorithmsNoisy intermediate-scale quantum computersIntermediate-scale quantum computersImaginary time evolutionQuantum statesClassical optimization algorithmsGlobal optimization methodGround-state optimizationInitial quantum stateNon-vanishing probabilityQuantum amplitudesQuantum computerTransmon qubitsNumerical experimentsUnique maximumOptimization algorithmInitial wavefunctionChemical physicsPolynomial numberState optimizationAmplitude amplificationTime evolutionGeneral frameworkRange of algorithms
2021
Iterative Power Algorithm for Global Optimization with Quantics Tensor Trains
Soley M, Bergold P, Batista V. Iterative Power Algorithm for Global Optimization with Quantics Tensor Trains. Journal Of Chemical Theory And Computation 2021, 17: 3280-3291. PMID: 33956426, DOI: 10.1021/acs.jctc.1c00292.Peer-Reviewed Original ResearchGlobal optimizationGlobal minimumTensor-train representationImaginary time propagation methodElectronic structure calculationsGlobal search optimizationPower iteration methodTime propagation methodGlobal search problemPosition expectation valuesCurse of dimensionalityMolecular geometry optimizationStructure calculationsPower algorithmDistribution ρTensor trainOptimization problemIteration methodProbability distributionPotential energy surfaceOptimization algorithmSearch optimizationExpectation valuesDelta functionPrime number