Entanglement and absorbing state transitions in $(d+1)$-dimensional stabilizer circuits

Abstract

We study the influence of feedback operations on the dynamics of $(d+1)$-dimensional monitored random quantum circuit. Competition between unitary dynamics and measurements leads to an entanglement phase transition, while the feedback steers the dynamics towards an absorbing state, yielding an absorbing state phase transition. Building on previous results in one spatial dimension [Phys. Rev. Lett. 130, 120402 (2023)], we discuss the interplay between the two types of transitions for $d\ge 2$ in the presence of (i) short-range feedback operations or (ii) additional global control operations. In both cases, the absorbing state transition belongs to the $d$-dimensional directed percolation universality class. In contrast, the entanglement transition depends on the feedback operation type and reveals the dynamics' inequivalent features. The entanglement and absorbing state phase transition remain separated for short-range feedback operations. When global control operations are applied, we find the two critical points coinciding; nevertheless, the universality class may still differ, depending on the choice of the control operation.

10 pages, Comments are welcome! "11th Workshop on Quantum Chaos and Localisation Phenomena" Warsaw, May 2023

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• Bipartite entanglement and entropic boundary law in lattice spin systems
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• Uncovering measurement-induced entanglement via directional adaptive dynamics and incomplete information
• Emergent deterministic entanglement dynamics in monitored infinite-range bosonic systems
• Noise resilience in adaptive and symmetric monitored quantum circuits
• Error detection without post-selection in adaptive quantum circuits