Phase transition in magic with random quantum circuits

Index

Abstract

Magic, a crucial property for fault-tolerant quantum computing, exhibits a phase transition in random stabilizer codes subjected to coherent errors. This transition is characterized analytically, numerically, and experimentally. Below a critical error rate, syndrome measurements remove magic, offering protection; above it, they concentrate magic. This behavior sheds light on quantum speedup and efficient magic state generation.

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Authors

Pradeep Niroula, Christopher David White, Qingfeng Wang, Sonika Johri, Daiwei Zhu, Christopher Monroe, Crystal Noel, Michael J. Gullans

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