Measurement-induced phase transitions in the toric code


Negari, A. (2023). Measurement-induced phase transitions in the toric code. Perimeter Institute. https://pirsa.org/23050143


Negari, Amirreza. Measurement-induced phase transitions in the toric code. Perimeter Institute, May. 15, 2023, https://pirsa.org/23050143


          @misc{ pirsa_23050143,
            doi = {10.48660/23050143},
            url = {https://pirsa.org/23050143},
            author = {Negari, Amirreza},
            keywords = {Other},
            language = {en},
            title = {Measurement-induced phase transitions in the toric code},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {may},
            note = {PIRSA:23050143 see, \url{https://pirsa.org}}

Amirreza Negari Perimeter Institute for Theoretical Physics

Talk Type Scientific Series


We explore how measurements and unitary feedback can generate distinct phases of matter from a given resource state, with a specific focus on the toric code in two dimensions. First, we map random Pauli measurements on the toric code to a classical loop model with crossings, and we show how measurement-induced entanglement exactly maps to watermelon correlators of the loop model.  Then, we consider measuring all but a 1d boundary of qubits, and we map this setup to hybrid circuits in 1+1 dimensions.  In particular, we find that varying the probabilities of different Pauli measurements can drive phase transitions in the unmeasured boundary between phases with different orders and entanglement scaling, corresponding to short and long loop phases in the classical model.  Finally, by utilizing single-site boundary unitaries conditioned on the bulk measurement outcomes, we generate mixed state ordered phases and transitions that can be experimentally diagnosed with linear observables. Our findings showcase the potential of measurement-based quantum computing setups in producing and manipulating phases of matter.

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