Taming multiparty entanglement at measurement-induced phase transitions

• URL: http://arxiv.org/abs/2602.04969v1
• Date: Wed, 04 Feb 2026 19:01:04 GMT
• Title: Taming multiparty entanglement at measurement-induced phase transitions
• Authors: Liuke Lyu, James Allen, Yi Hong Teoh, Roger G Melko, William Witczak-Krempa,
• Abstract summary: We present large-scale numerical simulations of a trapped-ion native MIPT.<n>We uncover robust decay of genuine multiparty entanglement (GME) versus separation for 2, 3, and 4 parties.
• Score: 0.29656637520758655
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Measurement-induced phase transitions (MIPT) give rise to novel dynamical states of quantum matter realized by balancing unitary evolution and measurements. We present large-scale numerical simulations of a trapped-ion native MIPT, argued to belong to the universality class described by the Haar non-unitary conformal field theory. First, through a finite-size analysis we obtained the critical measurement rate, and correlation length exponent, which falls close to the percolation value. Second, by leveraging a monotone computable via semi-definite programming, we uncover robust algebraic decay of genuine multiparty entanglement (GME) versus separation for 2, 3, and 4 parties. The corresponding critical exponents are lower-bounded by those of the multiparty mutual information, which we determine up to 4 parties, and conjecture to be (k+2) for k parties. Additionally, we derive lower bounds for both GME and multiparty mutual information.

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