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Improving the Variational Quantum Eigensolver Using Variational Adiabatic Quantum Computing
- Stuart M. Harwood,
- Dimitar Trenev,
- Spencer T. Stober,
- Panagiotis Barkoutsos,
- Tanvi P. Gujarati,
- Sarah Mostame,
- Donny Greenberg
The variational quantum eigensolver (VQE) is a hybrid quantum-classical algorithm for finding the minimum eigenvalue of a Hamiltonian that involves the optimization of a parameterized quantum circuit. Since the resulting optimization problem is in general ...
Enhancing the Quantum Linear Systems Algorithm Using Richardson Extrapolation
We present a quantum algorithm to solve systems of linear equations of the form Ax=b, where A is a tridiagonal Toeplitz matrix and b results from discretizing an analytic function, with a circuit complexity of O(1/√ε, poly (log κ, log N)), where N denotes ...
Energy Cost of Quantum Circuit Optimisation: Predicting That Optimising Shor’s Algorithm Circuit Uses 1 GWh
Quantum circuits are difficult to simulate, and their automated optimisation is complex as well. Significant optimisations have been achieved manually (pen and paper) and not by software. This is the first in-depth study on the cost of compiling and ...