What is a variational quantum eigensolver (VQE)?

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🔹 Variational Quantum Eigensolver (VQE)

The Variational Quantum Eigensolver (VQE) is a hybrid quantum-classical algorithm designed to find the ground state energy of a quantum system. It is one of the most promising algorithms for the current NISQ (Noisy Intermediate-Scale Quantum) era, where quantum computers have limited qubits and are prone to errors.

🔹 How It Works

  1. Parameterized Quantum Circuit – A quantum circuit is built with adjustable parameters (rotation angles, gates).

  2. Quantum Evaluation – The circuit prepares a quantum state, and the quantum computer measures its expectation value (energy).

  3. Classical Optimization – A classical optimizer updates the parameters to minimize the energy.

  4. Iterative Process – The loop continues until the algorithm converges to the lowest possible energy (ground state).

🔹 Why It’s Important

  • VQE is widely used in quantum chemistry to compute molecular energies, reaction pathways, and material properties.

  • It is more noise-tolerant than purely quantum algorithms (like Quantum Phase Estimation).

  • It leverages the strengths of both quantum (state preparation, measurement) and classical (optimization) systems.

Read More  :

What is quantum supremacy?

What is quantum key distribution (QKD)?

How is quantum computing used in machine learning?

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