Steady-state phases in long-range measurement-only quantum circuits

• URL: http://arxiv.org/abs/2605.25845v1
• Date: Mon, 25 May 2026 13:38:32 GMT
• Title: Steady-state phases in long-range measurement-only quantum circuits
• Abstract summary: We study a class of measurement-only quantum circuits with competing two-qubit and three-qubit measurements.<n>We show that circuits exhibit rich steady-state structure and uncover a strong influence of the measurement range on the resulting phases.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Measurements can drive quantum many-body systems into nontrivial steady states and induce interesting dynamical phase transitions, rendering measurement-only quantum circuits a useful platform for exploring quantum many-body phases beyond those of equilibrium Hamiltonian systems. Here we study a class of long-range measurement-only quantum circuits with competing two-qubit and three-qubit measurements. We demonstrate that these circuits exhibit rich steady-state structure and uncover a strong influence of the measurement range on the resulting phases. In particular, states with symmetry-protected topological (SPT) order can emerge with sufficiently short-range measurements beyond the nearest-neighbor limit. These states feature robust topological edge modes, which can also be detected from circuit dynamics. With longer-range measurements, an extended parameter regime emerges in which conventional order parameters are suppressed while spatial correlations remain nontrivial. Moreover, we show that in this circuit model sufficiently long-range measurements can produce significant entanglement with scaling beyond an area law despite the absence of any unitary evolution.

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