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Variational Hybrid Quantum Algorithms

A Study of Entanglement and Ansatz Expressivity for the Transverse-Field Ising Model using Variational Quantum Eigensolver

arXiv
Authors: Ashutosh P. Tripathi, Nilmani Mathur, Vikram Tripathi

Year

2026

Paper ID

1170

Status

Preprint

Abstract Read

~2 min

Abstract Words

97

Citations

N/A

Abstract

The Variational Quantum Eigensolver (VQE) is a leading hybrid quantum-classical algorithm for simulating many-body systems in the NISQ era. Its effectiveness, however, depends on the faithful preparation of eigenstates, which becomes challenging in degenerate and strongly entangled regimes. We study this problem using the transverse-field Ising model (TFIM) with periodic boundary conditions in one, two, and three dimensions, considering systems of up to 27 qubits. We employ different ansatzes: the hardware-efficient EfficientSU2 from Qiskit, the physics-inspired Hamiltonian Variational Ansatz (HVA) and HVA with symmetry breaking, and benchmark their performance using energy variance, entanglement entropy, spin correlations, and magnetization.

Why This Paper Matters

  • This paper contributes to the Variational & Hybrid Quantum Algorithms research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • The Variational Quantum Eigensolver (VQE) is a leading hybrid quantum-classical algorithm for simulating many-body systems in the NISQ era.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2602.17662 [2] arXiv https://arxiv.org/abs/2602.17662 [3] Publisher https://arxiv.org/abs/2602.17662

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