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arXiv · 2205.13483

Integrable nonunitary quantum circuits

Lei Su·Ivar Martin
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Abstract

We show that the integrable Lindblad superoperators found recently can be used to build integrable nonunitary quantum circuits with two-site gates by demonstrating that the $\check{R}$-matrices are completely positive and trace preserving. Using the bond-site transformation, we obtain the corresponding integrable nonunitary quantum circuits with three-site gates. When restricted to the diagonals of the density matrix, these quantum models reduce to integrable classical cellular automata. This approach may pave the way for a systematic construction of integrable nonunitary quantum circuits.

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Lei Su, Ivar Martin. 2022-11-04. Integrable nonunitary quantum circuits. https://doi.org/10.1103/physrevb.106.134312

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