Qarameterized circuits: Quantum parameters for QML
Evan Peters, University of Waterloo, Institute for Quantum Computing
Prasanth Shyamsundar, Fermi National Accelerator Laboratory, Fermilab Quantum Institute
This project is a submission to the QHack Open Hackathon 2021.
Team Name: PhaseliciousDeinonyqus
For a presentation of this project please go to our Presentation Page.
Project Description:
Typically, variational quantum circuits are parameterized by classical parameters and the circuit is evaluated by minimizing an observable-based cost function using classical optimization techniques.
What if we parameterize quantum circuits using quantum parameters? Can we train such circuits in a manifestly quantum manner?
Enter Qarameterized Circuits (Quantum-parameterized Circuits). In this project we
- Construct variational circuits parameterized by control quantum registers, whose computational basis states correspond to different values for the circuit parameters.
- Construct a quantum oracle to coherently evaluate the state of the control registers, based on a chosen cost function.
- Train the circuit using a modified version of Grover's algorithm, which preferentially amplifies the good states of the control registers.
This project builds on the findings of Prasanth Shaymsundar, "Non-Boolean Quantum Amplitude Amplification and Quantum Mean Estimation" (2018), arXiv:2102.04975 [quant-ph].