Machine learning for quantum information and computing
Doktorsavhandling, 2023

This compilation thesis explores the merger of machine learning, quantum information, and computing. Inspired by the successes of neural networks and gradient-based learning, the thesis explores how such ideas can be adapted to tackle complex problems that arise during the modeling and control of quantum systems, such as quantum tomography with noisy data or optimizing quantum operations, by incorporating physics-based constraints. We also discuss the Bayesian estimation of a quantum state with uncertainty estimates using physically meaningful priors.

Classical machine learning could inspire new quantum-computing algorithms. One such idea is presented to extend the capabilities of variational quantum algorithms using implicit differentiation, enabling straightforward computation of physically interesting quantities on a quantum computer as a gradient. Implicit differentiation also leads to a novel method to generate multipartite entangled quantum states and allows hyperparameter tuning of quantum machine learning algorithms.

Several new experiments were possible due to the theoretical and numerical techniques developed in the thesis — robust generation of a Gottesman- Kitaev-Preskill and cubic phase state in a 3D cavity, fast process tomography of a new family of superconducting gates with known noise, efficient process tomography of a physical operation implementing a logical gate on a bosonic error-correction code, and the reconstruction of a photoelectron’s quantum state.

quantum state tomography

quantum information

generative neural networks

Bayesian estimation

quantum machine learning

quantum process tomography

quantum computing

Machine learning

variational quantum algorithms

optimization

Författare

Shahnawaz Ahmed

Chalmers, Mikroteknologi och nanovetenskap, Tillämpad kvantfysik

Quantum physics has revolutionized our understanding of the natural world, stretching the boundaries of classical physics to encompass the mysterious behaviors of particles at the smallest scales. Quantum computers promise a leap in information processing capabilities by harnessing quantum-mechanical effects that can overcome the limitations of classical digital computing as they scale to a size where quantum effects start to dominate. However, to build such quantum computers, we must overcome many challenges that demand precise characterization and enhanced control over quantum devices. Meeting these challenges calls for creating sophisticated models for quantum systems that are fitted with large amounts of noisy experimental data.

Machine learning is a way to push the boundaries of computer programming with data-driven learning, obviating the need for explicit programming. Modern machine learning algorithms have achieved remarkable feats, from identifying objects in images to generating entirely new images from text descriptions and emulating intelligence through conversations, all accomplished by processing large amounts of data.

The convergence of machine learning, quantum information, and computing presents an exciting frontier. We can construct a bridge between these domains by framing the challenges of modeling and characterization in quantum systems as machine-learning problems. At the same time, machine-learning-inspired concepts can lead to new ideas for quantum algorithms. We explore the two aspects of this merger between machine learning, quantum information, and computing.

Wallenberg Centre for Quantum Technology (WACQT)

Knut och Alice Wallenbergs Stiftelse (KAW 2017.0449, KAW2021.0009, KAW2022.0006), 2018-01-01 -- 2030-03-31.

Fundament

Grundläggande vetenskaper

Ämneskategorier

Atom- och molekylfysik och optik

Annan fysik

Datavetenskap (datalogi)

ISBN

978-91-7905-915-6

Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie: 5381

Utgivare

Chalmers

Mer information

Senast uppdaterat

2024-12-19