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Quantum error correction meets continuous symmetries: fundamental trade-offs and case studies

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Friday, January 27, 2023
2:00 pm - 3:00 pm
Sisi Zhou
Triangle Quantum Computing Seminar Series

Quantum error correction and symmetries are two key notions in quantum information and physics. The competition between them has fundamental implications in fault-tolerant quantum computing, many-body physics and quantum gravity. We systematically study the competition between quantum error correction and continuous symmetries associated with a quantum code in a quantitative manner. We derive various forms of trade-off relations between the quantum error correction inaccuracy and three types of symmetry violation measures. We introduce two frameworks for understanding and establishing the trade-offs based on the notions of charge fluctuation and gate implementation error. From the perspective of fault-tolerant quantum computing, we demonstrate fundamental limitations on transversal logical gates. We also analyze the behaviors of two near-optimal codes: a parametrized extension of the thermodynamic code, and quantum Reed-Muller codes.--- Sisi Zhou is a postdoc at Caltech, and will be joining Perimeter Institute as a junior faculty in Fall 2023. She graduated from Department of Physics at Yale University in 2021. Her work focuses on quantum error correction, quantum metrology, and the interplay between them.

Contact: Dina Weberg