4 papers · 1 filter
Ladder Operator Block-Encoding
William A. Simon, Carter M. Gustin, Kamil Serafin +3
We describe and analyze LOBE (Ladder Operator Block-Encoding), a framework for block-encoding ladder operators that act upon fermionic and bosonic modes. In this framework, we achi…
Quantum Advantage in Resource Estimation
William A. Simon, Peter J. Love
Quantum computing promises the ability to compute properties of quantum systems exponentially faster than classical computers. Quantum advantage is achieved when a practical proble…
Halving the Cost of Controlled Time-Evolution
William A. Simon, Peter J. Love
Quantum simulation is a promising application for quantum computing. Quantum simulation algorithms may require the ability to control the time evolution unitary. Naive techniques t…
Carleman-lattice-Boltzmann quantum circuit with matrix access oracles
Claudio Sanavio, William A. Simon, Alexis Ralli +2
We apply Carleman linearization of the Lattice Boltzmann (CLB) representation of fluid flows to quantum emulate the dynamics of a 2D Kolmogorov-like flow. We assess the accuracy of…