Indexed improvements for real-time trotter evolution of a (1 + 1) field theory using NISQ quantum computers

Journal Article · Fri Sep 03 00:00:00 EDT 2021 · Quantum Science and Technology

DOI:https://doi.org/10.1088/2058-9565/ac1dff· OSTI ID:1979464

Gustafson, Erik ^[1]; Dreher, Patrick ^[2]; Hang, Zheyue ^[3]; Meurice, Yannick ^[3]

---

1. University of Iowa, Iowa City, IA (United States); OSTI
2. North Carolina State University, Raleigh, NC (United States)
3. University of Iowa, Iowa City, IA (United States)

Today's quantum computers offer the possibility of performing real-time calculations for quantum field theory scattering processes motivated by high energy physics. In order to follow the successful roadmap which has been established for the calculation of static properties at Euclidean time, it is crucial to develop new algorithmic methods to deal with the limitations of current noisy intermediate-scale quantum (NISQ) devices and to establish quantitative measures of the progress made with different devices. In this paper, we report recent progress in these directions. We show that nonlinear aspects of the trotter errors allow us to take much larger step then suggested by low-order analysis. This is crucial to reach physically relevant time scales with today's NISQ technology. We propose to use an index averaging absolute values of the difference between the accurately calculated trotter evolution of site occupations and their actual measurements on NISQ machines (G index) as a measure to compare results that have been obtained from different hardware platforms. Using the transverse Ising model in one spatial dimension with four sites we apply this metric across several hardware platforms. We study the results including readout mitigation and Richardson extrapolations and show that the mitigated measurements are very effective based on the analysis of the trotter step size modifications. Furthermore, we discuss how this advance in the trotter step size procedures can improve quantum computing physics scattering results and how this technical advance can be applied to other machines and noise mitigation methods.

• Research Organization: UT-Battelle LLC/ORNL, Oak Ridge, TN (United States); University of Iowa, Iowa City, IA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• Grant/Contract Number: AC05-00OR22725; SC0019139
• OSTI ID: 1979464
• Journal Information: Quantum Science and Technology, Journal Name: Quantum Science and Technology Journal Issue: 4 Vol. 6; ISSN 2058-9565
• Publisher: IOP Publishing
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Physics