High-Precision Variational Quantum SVD via Classical Orthogonality Correction
We introduce a hybrid quantum-classical variational framework for partial singular value decomposition of bipartite quantum states based on matrix product state canonical forms.
By incorporating explicit classical orthogonality correction into a deflation-based variational quantum SVD scheme, the method suppresses errors caused by shallow circuit depth, hardware noise, and imperfect optimization.
Numerical benchmarks for one- and two-dimensional Heisenberg models demonstrate improved numerical stability and accuracy for entanglement spectrum estimation on near-term quantum devices.
Hiroshi Ueda is an Associate Professor at the Center for Quantum Information and Quantum Biology (QIQB), The University of Osaka.
His research focuses on tensor network methods, quantum many-body physics, quantum algorithms, and quantum-classical hybrid computation. He develops theoretical and numerical approaches for understanding quantum many-body systems and for designing quantum algorithms inspired by tensor network structures.