A Practical Introduction to Quantum Computing (CERN)
Prof. Elias Fernandez-Combarro Alvarez, University of Oviedo
7 courses · 16 tutorials
Prof. Elias Fernandez-Combarro Alvarez, University of Oviedo
Max Rossmannek, Julian Schuhmacher, Alexander Miessen, and Laurin Fischer, IBM Quantum
Julien Gacon, Dr. Daniel J. Egger, Dr. Stefan Woerner, Lucia Cuervo Valor (IBM Quantum)
IonQ Researchers
Xanadu / Community
Quantinuum
Prof. Dan Boneh and Will Zeng, Stanford
A comprehensive guide to the Variational Quantum Eigensolver: ansatz design, optimizer selection, barren plateaus, and a complete H2 ground state calculation using Qiskit's Estimator primitive.
Set up molecular Hamiltonians in OpenFermion, apply Jordan-Wigner mapping to convert fermionic operators to Pauli strings, and build a VQE circuit in Cirq.
Run variational quantum algorithms using Amazon Braket Hybrid Jobs: managed classical compute + quantum access in one job, with checkpointing and cost tracking.
Build a complete quantum chemistry pipeline: encode the H2 Hamiltonian with OpenFermion, transform it to qubits via Jordan-Wigner, then find the ground state energy using VQE on Qiskit's statevector simulator.
How quantum computers simulate molecular systems: from second quantization and fermion-to-qubit mappings to VQE and the active space approximation.
Implement the Variational Quantum Eigensolver (VQE) in PyQuil to find the ground state energy of molecular hydrogen. Build the Hamiltonian, parameterized ansatz, and classical optimization loop.
A complete walkthrough of VQE for the hydrogen molecule in Qiskit Nature, from PySCF driver and Jordan-Wigner mapping through UCCSD ansatz and classical optimization.
Build a complete VQE implementation for H2 using Cirq's parametric gates, OpenFermion for the qubit Hamiltonian, scipy for classical optimization, and the parameter shift rule for exact gradients.
Implement the Variational Quantum Eigensolver to find the ground state energy of a hydrogen molecule using PennyLane and gradient-based optimization.
Use Q# and the Microsoft.Quantum.Chemistry library to simulate molecular ground state energies, covering Jordan-Wigner encoding, Broombridge data, and phase estimation.
Full VQE for LiH using PennyLane's qchem module: molecular Hamiltonian, Hartree-Fock initial state, UCCSD ansatz, optimization, and potential energy surface scan.
Walk through a real VQE simulation in PennyLane: build the H2 Hamiltonian, construct a UCCSD ansatz, and converge to the ground state energy in under 50 iterations.
A complete end-to-end VQE simulation of the water molecule using Qiskit Nature: PySCFDriver setup, active space reduction from 10 electrons in 7 orbitals to 4 electrons in 4 orbitals, Jordan-Wigner mapping, UCCSD ansatz, and comparison with Hartree-Fock and CCSD references.
How VQE works: the variational principle, ansatz design, classical optimizer loop, and a complete Qiskit implementation for finding the ground state of a simple Hamiltonian.
Set up and run a molecular ground state energy calculation in Qiskit Nature: driver setup, active space selection, Jordan-Wigner mapping, and VQE optimization.
How to implement the Variational Quantum Eigensolver (VQE) using tket's parameterized circuits and scipy optimization.