# Research

I am broadly interested in developing hybrid quantum-classical theories and methods, which includes the following three parts.

**Quantum Many-Body Physics****Areas:**

Quantum embedding theory (QET)

Dynamical mean-field theory (DMFT)

Many-body perturbation theory (MBPT)

Density functional theory (DFT)

Matrix product states (MPS) and density-matrix renormalization group (DMRG)

Post-Hartree-Fock (post-HF)**Focus:**

Quantum defect embedding theory (QDET) for strongly-correlated electronic states in defective systems

Discrete Lehnmann representation (DLR) for DMFT and MBPT

First-principles studies and predictions of spin qubits using QDET

**Quantum Computation and Simulation****Areas:**

Variational quantum eigensolver (VQE)

Quantum phase estimation (QPE)**Focus:**

Error mitigation scheme for quantum algorithms

Quantum algorithms as solvers for downfolded Hamiltonians

**Scientific Computing**