Gullans, M.
(2024),
Phase transition in magic with random quantum circuits, Nature Physics, [online], https://doi.org/10.1038/s41567-024-02637-3, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=936710
(Accessed December 4, 2024)
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.
Phase transition in magic with random quantum circuits
Published
Author(s)
Abstract
Maic is a resource that enables quantum computation and quantifies the efficacy of a quantum state for universal fault-tolerant quantum computing. Understanding the mechanisms by which magic is created or destroyed is, therefore, a crucial step towards efficient and practical fault-tolerant computation. We observe that a random stabilizer code subject to coherent errors exhibits a phase transition in magic, which we characterize through analytic, numeric and experimental probes. Below a critical error rate, stabilizer syndrome measurements remove the accumulated magic in the circuit, effectively protecting against coherent errors; above the critical error rate syndrome measurements concentrate magic. A better understanding of such rich behavior in the resource theory of magic could shed more light on origins of quantum speedup and pave pathways for more efficient magic state generation.Citation
Nature Physics
Volume
20
Issue
11
Pub Type
Journals
Download Paper
Keywords
resource theory, fault-tolerance
Citation
Issues
If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.
Created September 23, 2024, Updated November 20, 2024