A Practical Introduction to VQE: Methods, Challenges, and Applications in Physics and Chemistry
quant-ph, cond-mat.str-el
Submitted: 2026-10-05
Updated: 2026-10-07
Sources
- Quantum measurements and the Abelian Stabilizer Problem
- Operator Sampling for Shot-frugal Optimization in Variational Algorithms
- Minimizing State Preparations in Variational Quantum Eigensolver by Partitioning into Commuting Families
- Dynamical mean field theory algorithm and experiment on quantum computers
- Recent Developments and Perspectives in Variational Quantum Eigensolvers for Molecular Electronic Structure: Methods, Tradeoffs, and Benchmarking
- Tapering off qubits to simulate fermionic Hamiltonians
- A Compact Fermion to Qubit Mapping Part 2: Alternative Lattice Geometries
- Optimal fermion-qubit mappings via quadratic assignment
- Postponing the orthogonality catastrophe: efficient state preparation for electronic structure simulations on quantum devices
- Decomposition of Matrix Product States into Shallow Quantum Circuits
- Preentangling Quantum Algorithms -- the Density Matrix Renormalization Group-assisted Quantum Canonical Transformation
- Variational preparation of normal matrix product states on quantum computers
- An initialization strategy for addressing barren plateaus in parametrized quantum circuits
- On the order problem in construction of unitary operators for the Variational Quantum Eigensolver
- Iterative Qubit Coupled Cluster approach with efficient screening of generators
- Unitary transformation of the electronic Hamiltonian with an exact quadratic truncation of the Baker-Campbell-Hausdorff expansion
- Extension of the Trotterized Unitary Coupled Cluster to Triple Excitations
- Preparing symmetry broken ground states with variational quantum algorithms
- Spin-Adapted Fermionic Unitaries: From Lie Algebras to Compact Quantum Circuits
- Avoiding symmetry roadblocks and minimizing the measurement overhead of adaptive variational quantum eigensolvers
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