trotterization

Reproducible quantum simulation of lattice QED and the Schwinger model with Qiskit, VQE, exact diagonalization, Trotterized dynamics, vacuum structure, topological theta dependence, entanglement, particle production, physical observables and error mitigation.

Quantum simulation using matrix exponentials and Lie-theoretic Trotterization. Lecture 6 from the Lie Groups with Applications series by Quantum Formalism.

This is a Quantum simulation project using Qiskit to model the time evolution of a 4-qubit Ising spin chain and analyze convergence rates.

Implementation and benchmark of Trotter-based Hamiltonian simulation. The simulation highlights the accuracy gained by increasing the number of Trotter steps, and compares the results for first-order (Lie-Trotter) and second-order (Suzuki) product formulas.

Constructs a Trotterized circuit for the given Hamiltonian dynamics.

Suzuki-Trotter simulation of time evolution in a 1D XXZ spin chain, with hand-built Qiskit circuits (RXX/RYY/RZZ) for IBM Quantum hardware and an exact classical baseline for error analysis.

This work simulates the 1D Schrödinger equation via Qiskit circuits, modeling particle time evolution in zero and harmonic potentials. We benchmark 2 to 12 qubits against classical solutions, evaluating accuracy via expectation values and various error metrics.