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TT: Fachverband Tiefe Temperaturen

TT 8: Focus Session: Quantum Interactive Dynamics I (joint session DY/TT)

TT 8.7: Talk

Monday, March 18, 2024, 11:45–12:00, A 151

Temporal Entanglement in Dual-Unitary Clifford Circuits with Probabilistic Measurements — •Jiangtian Yao and Pieter Claeys — Max Planck Institute for the Physics of Complex Systems, Dresden, Germany

We study temporal entanglement in dual-unitary Clifford circuits with probabilistic measurements preserving spatial unitarity. We present exact results on characterizing the temporal entanglement barrier in the measurement-free regime. In the finite-measurement-rate regime, we numerically study the interplay between measurement rate and bath size. We connect the initial diffusive growth of temporal entanglement with bath size to a persistent random walk model and present an exact transfer-matrix approach for understanding how the system approaches the perfect-dephaser limit.

Keywords: Quantum Circuits; Dual-Unitary Circuits; Clifford Circuits; Temporal Entanglement; Measurement