Noisy intermediate-scale quantum algorithms

K Bharti, A Cervera-Lierta, TH Kyaw, T Haug… - Reviews of Modern …, 2022 - APS
A universal fault-tolerant quantum computer that can efficiently solve problems such as
integer factorization and unstructured database search requires millions of qubits with low …

Hybrid quantum-classical algorithms and quantum error mitigation

S Endo, Z Cai, SC Benjamin, X Yuan - Journal of the Physical …, 2021 - journals.jps.jp
Quantum computers can exploit a Hilbert space whose dimension increases exponentially
with the number of qubits. In experiment, quantum supremacy has recently been achieved …

A feasible approach for automatically differentiable unitary coupled-cluster on quantum computers

JS Kottmann, A Anand, A Aspuru-Guzik - Chemical science, 2021 - pubs.rsc.org
We develop computationally affordable and encoding independent gradient evaluation
procedures for unitary coupled-cluster type operators, applicable on quantum computers …

Quantum Equation of Motion with Orbital Optimization for Computing Molecular Properties in Near-Term Quantum Computing

PWK Jensen, ER Kjellgren, P Reinholdt… - Journal of Chemical …, 2024 - ACS Publications
Determining the properties of molecules and materials is one of the premier applications of
quantum computing. A major question in the field is how to use imperfect near-term quantum …

Optimized low-depth quantum circuits for molecular electronic structure using a separable-pair approximation

JS Kottmann, A Aspuru-Guzik - Physical Review A, 2022 - APS
We present a classically tractable model that leads to optimized low-depth quantum circuits
leveraging separable-pair approximations. The obtained circuits are well suited as a …

State preparation boosters for early fault-tolerant quantum computation

G Wang, S Sim, PD Johnson - Quantum, 2022 - quantum-journal.org
Quantum computing is believed to be particularly useful for the simulation of chemistry and
materials, among the various applications. In recent years, there have been significant …

Efficient quantum algorithm for filtering product states

R Irmejs, MC Banuls, JI Cirac - Quantum, 2024 - quantum-journal.org
We introduce a quantum algorithm to efficiently prepare states with a small energy variance
at the target energy. We achieve it by filtering a product state at the given energy with a …

Faster coherent quantum algorithms for phase, energy, and amplitude estimation

P Rall - Quantum, 2021 - quantum-journal.org
We consider performing phase estimation under the following conditions: we are given only
one copy of the input state, the input state does not have to be an eigenstate of the unitary …

Near-term quantum algorithm for computing molecular and materials properties based on recursive variational series methods

PWK Jensen, PD Johnson, AA Kunitsa - Physical Review A, 2023 - APS
Determining the properties of molecules and materials is one of the premier applications of
quantum computing. A major question in the field is: how might we use imperfect near-term …

Quantum computation for predicting electron and phonon properties of solids

K Choudhary - Journal of Physics: Condensed Matter, 2021 - iopscience.iop.org
Quantum chemistry is one of the most promising near-term applications of quantum
computers. Quantum algorithms such as variational quantum eigen solver (VQE) and …