Ms Natalie Klco (University of Washington)
With rapid developments in quantum hardware, it is increasingly important to analyze qubit, operator and gate requirements to optimally utilize available quantum resources for computation. In this talk, I present such an analysis for the digitization of interacting scalar field theories onto NISQ-era quantum devices, building upon the foundational work by Jordan, Lee and Preskill. Leveraging the Nyquist-Shannon sampling theorem (introduced in this context by Macridin, Spentzouris, Amundson and Harnik building on the work of Somma) as well as the Quantum Fourier Transform for digitization-improvement, a feasible number of qubits (< 10) can represent localized and delocalized low-energy wavefunctions with digitization errors below expected NISQ-era noise levels---naturally leading to the development of small-scale benchmarks for hardware implementations of scalar lattice field theory.
Prof. Martin Savage (INT) Ms Natalie Klco (University of Washington)