What a small-scale, highly-accurate quantum processor can teach us about analog quantum simulation

Presenting Author: Nathan Lysne, University of Arizona
Contributing Author(s): Kevin Kuper, Poul Jessen, Pablo Poggi, Karthik Chinni, Ivan Deutsch

Quantum systems that offer reasonably accurate control over tens of qubits have now been realized in several contexts. It is thought such noisy intermediate-scale quantum (NISQ) devices may be capable of classically hard tasks such as analog quantum simulation (AQS). Yet, it remains unclear if a quantum processor without error correction and fault tolerance can compute meaningful results when subject to realistic imperfections. To probe this question we have developed a universal, highly accurate analog quantum processor operating in the 16D Hilbert space comprised of the total atomic spin of individual Cs atoms in the electronic ground state. Advances in optimal control enables us to drive arbitrary unitary transformations with very high fidelity (>99%) which we can use to perform simulations of any quantum system that fits in this Hilbert space. In particular, we have studied the feasibility of simulating several model Hamiltonians that exhibit features of interest to AQS, such as chaos and hypersensitivity (the quantum kicked top), and quantum phase transitions (the Lipkin-Meshkov-Glick and transverse Ising models). Experimentally, we demonstrate AQS of each of these models, with high fidelity at the quantum state level and accurate tracking of dynamical features. With this small-scale highly accurate quantum simulator, we can now reintroduce errors in a controlled fashion and study how they impact AQS of complex dynamics, in the laboratory as well as numerical modeling.

(Session 9a : Monday from 3:45pm - 4:15pm)


SQuInT Chief Organizer
Akimasa Miyake, Associate Professor

SQuInT Local Organizers
Rafael Alexander, Postdoctoral Fellow
Chris Jackson, Postdoctoral Fellow

SQuInT Administrator
Gloria Cordova
505 277-1850

SQuInT Assistant
Wendy Jay

SQuInT Founder
Ivan Deutsch, Regents' Professor, CQuIC Director

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