# Comprehensive characterization of three-qubit Grover search algorithm on IBM's 127-qubit superconducting quantum computers

arXiv: https://arxiv.org/abs/2406.16018 · HTML: https://mlsanity.com/paper/2406.16018/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- Builds on 8 of its 58 references that are in the map.
- First posted on arXiv 23 Jun 2024.

## Builds on (most cited first, 8 of 8)

- [Variational Quantum Algorithms](https://mlsanity.com/paper/2012.09265/) (2020)
- [Quantum advantage in learning from experiments](https://mlsanity.com/paper/2112.00778/) (2021)
- [Hybrid quantum-classical machine learning for generative chemistry and drug design](https://mlsanity.com/paper/2108.11644/) (2021)
- [Quantum Speedups for Exponential-Time Dynamic Programming Algorithms](https://mlsanity.com/paper/1807.05209/) (2018)
- [Quantum Artificial Life in an IBM Quantum Computer](https://mlsanity.com/paper/1711.09442/) (2017)
- [NISQ Computers: A Path to Quantum Supremacy](https://mlsanity.com/paper/2310.01431/) (2023)
- [Quantum algorithms for computational geometry problems](https://mlsanity.com/paper/2004.08949/) (2020)
- [Fast Quantum Process Tomography via Riemannian Gradient Descent](https://mlsanity.com/paper/2404.18840/) (2024)

## Built on by (most cited first, 3 of 3)

- [IBM Quantum Computers: Evolution, Performance, and Future Directions](https://mlsanity.com/paper/2410.00916/) (2024)
- [Photonic Quantum Computers](https://mlsanity.com/paper/2409.08229/) (2024)
- [Stochastic Neural Networks for Quantum Devices](https://mlsanity.com/paper/2602.22241/) (2026)

## Abstract (arXiv)

The Grover search algorithm is a pivotal advancement in quantum computing, promising a remarkable speedup over classical algorithms in searching unstructured large databases. Here, we report results for the implementation and characterization of a three-qubit Grover search algorithm using the state-of-the-art scalable quantum computing technology of superconducting quantum architectures. To delve into the algorithm's scalability and performance metrics, our investigation spans the execution of the algorithm across all eight conceivable single-result oracles, alongside nine two-result oracles, employing IBM Quantum's 127-qubit quantum computers. Moreover, we conduct five quantum state tomography experiments to precisely gauge the behavior and efficiency of our implemented algorithm under diverse conditions; ranging from noisy, noise-free environments to the complexities of real-world quantum hardware. By connecting theoretical concepts with real-world experiments, this study not only shed light on the potential of NISQ (Noisy Intermediate-Scale Quantum) computers in facilitating large-scale database searches but also offer valuable insights into the practical application of the Grover search algorithm in real-world quantum computing applications.