26th Australian Institute of Physics Congress and the Australian and New Zealand Conference on Optics and Photonics

Programable quantum simulation of continuous-variable anharmonic and nonlinear dynamics

Not scheduled

20m

Belinda Hutchinson Building (The University of Sydney )

Contributed Oral AIP | Quantum Science and Technology (QST)

Description

Hybrid continuous-variable–discrete-variable (CV-DV) quantum computers are promising platforms for quantum simulation, particularly when the continuous-variable degrees of freedom are harmonic. Extending hybrid CV-DV quantum simulation beyond harmonic dynamics requires efficient methods for implementing non-Gaussian operations. However, existing schemes are primarily restricted to a single continuous-variable degree of freedom, corresponding to the implementation of a one-dimensional anharmonic potential, and are not directly applicable to systems involving multiple continuous-variable degrees of freedom or nonlinear multi-mode couplings.

Here, we introduce trigonometric-gate-implemented Fourier synthesis (TGIFS), a method for implementing non-Gaussian operations in both single- and multi-mode systems. TGIFS enables the quantum simulation of anharmonic dynamics and nonlinear multi-mode couplings by decomposing a target Hamiltonian into a Fourier series, whose terms are implemented using bosonic quantum signal processing. In this approach, a discrete-variable system is used to induce programmable nonlinear dynamics in the continuous-variable system.

TGIFS enables the direct simulation of a broad range of continuous-variable phenomena. We have already implemented TGIFS to experimentally simulate quantum tunnelling dynamics in a highly anharmonic programmable potential. These results establish TGIFS as a practical route toward simulating non-trivial continuous-variable quantum dynamics on hybrid CV-DV quantum processors.