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 October 2, 2025)
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Phase transition in magic with random quantum circuits
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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
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Keywords
resource theory, fault-tolerance
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Created September 23, 2024, Updated November 20, 2024