Enhancing Detection of Topological Order by Local Error Correction

• URL: http://arxiv.org/abs/2209.12428v2
• Date: Mon, 31 Jul 2023 03:29:48 GMT
• Title: Enhancing Detection of Topological Order by Local Error Correction
• Authors: Iris Cong, Nishad Maskara, Minh C. Tran, Hannes Pichler, Giulia Semeghini, Susanne F. Yelin, Soonwon Choi, Mikhail D. Lukin
• Abstract summary: We introduce a new paradigm for quantifying topological states by combining methods of error correction with ideas of renormalization-group flow. We demonstrate the power of LED using numerical simulations of the toric code under a variety of perturbations. We then apply it to an experimental realization, providing new insights into a quantum spin liquid created on a Rydberg-atom simulator.
• Score: 0.5025737475817937
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The exploration of topologically-ordered states of matter is a long-standing goal at the interface of several subfields of the physical sciences. Such states feature intriguing physical properties such as long-range entanglement, emergent gauge fields and non-local correlations, and can aid in realization of scalable fault-tolerant quantum computation. However, these same features also make creation, detection, and characterization of topologically-ordered states particularly challenging. Motivated by recent experimental demonstrations, we introduce a new paradigm for quantifying topological states -- locally error-corrected decoration (LED) -- by combining methods of error correction with ideas of renormalization-group flow. Our approach allows for efficient and robust identification of topological order, and is applicable in the presence of incoherent noise sources, making it particularly suitable for realistic experiments. We demonstrate the power of LED using numerical simulations of the toric code under a variety of perturbations. We subsequently apply it to an experimental realization, providing new insights into a quantum spin liquid created on a Rydberg-atom simulator. Finally, we extend LED to generic topological phases, including those with non-abelian order.

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