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TT: Fachverband Tiefe Temperaturen

TT 75: Many-body Quantum Dynamics I (joint session DY/TT)

TT 75.2: Vortrag

Donnerstag, 12. März 2026, 09:45–10:00, HÜL/S186

Frustration-Free Control and Absorbing-State Transport in Entangled State Preparation — •Tobias Dörstel1,2, Thomas Iadecola3,4,5, Justin H. Wilson6,7, and Michael Buchhold1,21Department of Theoretical Physics, University of Innsbruck, Austria — 2Institute for Theoretical Physics, University of Cologne, Germany — 3Department of Physics, The Pennsylvania State University, USA — 4Institute for Computational and Data Sciences, The Pennsylvania State University, USA — 5Materials Research Institute, The Pennsylvania State University, USA — 6Department of Physics and Astronomy, Louisiana State University, USA — 7Center for Computation and Technology, Louisiana State University, USA

We study frustration-free control, a measurement-feedback protocol for quantum state preparation that extends the concept of frustration-free Hamiltonians to stochastic dynamics. The protocol drives many-body systems into highly entangled target states, common dark states of all measurement projectors, through minimal local unitary corrections that realize an absorbing-state dynamics without post-selection. We show that relaxation to the target state is governed by emergent transport of nonlocal charges, such as singlet excitations in SU(2)-symmetric dynamics. While measurement-feedback annihilates compatible charge configurations, both measurement and scrambling unitaries induce charge transport and thus determine the convergence time. Mapping a baseline model of SU(N) SWAP measurements with local corrections to a solvable absorbing random walk yields a runtime scaling tLz with transport exponent z=2.

Keywords: quantum circuit; measurement circuit; state preparation; feedback; frustration-free

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