Phase transition in magic with random quantum circuits

• URL: http://arxiv.org/abs/2304.10481v2
• Date: Thu, 11 Apr 2024 02:22:26 GMT
• Title: Phase transition in magic with random quantum circuits
• Authors: Pradeep Niroula, Christopher David White, Qingfeng Wang, Sonika Johri, Daiwei Zhu, Christopher Monroe, Crystal Noel, Michael J. Gullans,
• Abstract summary: We observe that a random stabilizer code subject to coherent errors exhibits a phase transition in magic. A better understanding of such rich behavior in the resource theory of magic could shed more light on origins of quantum speedup.
• Score: 1.3551232282678036
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Magic is a property of quantum states that enables universal fault-tolerant quantum computing using simple sets of gate operations. 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.

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