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Dynamical quantum error correction and non-invertible symmetries

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BID - Quantum field theory with boundaries, impurities, and defects

Quantum error correction is essential for reliably storing and manipulating information in quantum devices. In this talk, I will review dynamical quantum error-correcting codes, which involve sequences of non-commuting measurements. The dynamical nature of these codes offers several advantages over static codes, but also introduces new challenges, since errors must now be tracked across both space and time. I will show that the measurement sequences underlying dynamical stabilizer codes can be understood as non-invertible symmetries of certain topological quantum field theories. In this framework, a sequence of measurements corresponds to the fusion of these topological symmetry operators. Using this approach, I will present a characterization of both error detectors and detectable errors in dynamical codes, entirely in terms of the braiding of specific topological operators.

This talk is part of the Isaac Newton Institute Seminar Series series.

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