Emergence symmetry protected topological phase in spatially tuned measurement-only circuit

Yoshihito Kuno; Ikuo Ichinose

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arXiv · 2212.13142

Emergence symmetry protected topological phase in spatially tuned measurement-only circuit

Yoshihito Kuno·Ikuo Ichinose

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Abstract

Topological phase transition induced by spatially-tuned single-site measurement is investigated in a measurement-only circuit, in which three different types of projective measurement operator. Specific spatial setting and combination of commutation relations among three measurement operators generate such a transition. In practice, symmetry protected topological (SPT) phase is recovered on even sublattice by eliminating a projective measurement disturbing the SPT via applying another spatially-tuned projective measurement on odd sublattice. We further investigate the critical properties of the phase transition and find that it has the same critical exponents with the two-dimensional percolation transition.

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cond-mat.stat-mech cond-mat.dis-nn quant-ph

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Yoshihito Kuno, Ikuo Ichinose. 2022-12-26. Emergence symmetry protected topological phase in spatially tuned measurement-only circuit. https://arxiv.org/abs/2212.13142

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