Localizable Entanglement as an Order Parameter for Measurement-Induced Phase Transitions
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| Format: | Preprint |
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2026
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| _version_ | 1866911436506136576 |
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| author | Manna, Sourav Lakshminarayan, Arul Madhok, Vaibhav |
| author_facet | Manna, Sourav Lakshminarayan, Arul Madhok, Vaibhav |
| contents | We identify localizable entanglement (LE) as an order parameter for measurement-induced phase transitions (MIPT). LE exhibits universal finite-size scaling with critical exponents that match previous MIPT results and gives a nice operational interpretation connecting MIPTs to classical percolation. Remarkably, we find that LE decays exponentially with distance in the area-law phase as opposed to being essentially constant for the volume-law phase thereby, discover an intrinsic length scale $ξ_E$ that diverges at the critical measurement probability $p_c$. While classical percolation transition captures successful transport across a network, MIPT as characterized by LE can be interpreted as quantifying the amount of quantum teleportation between two given nodes in a quantum circuit. Building on this insight, we propose a two-ancilla protocol that provides an experimentally accessible readout of entanglement redistribution across the transition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14185 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Localizable Entanglement as an Order Parameter for Measurement-Induced Phase Transitions Manna, Sourav Lakshminarayan, Arul Madhok, Vaibhav Quantum Physics Statistical Mechanics We identify localizable entanglement (LE) as an order parameter for measurement-induced phase transitions (MIPT). LE exhibits universal finite-size scaling with critical exponents that match previous MIPT results and gives a nice operational interpretation connecting MIPTs to classical percolation. Remarkably, we find that LE decays exponentially with distance in the area-law phase as opposed to being essentially constant for the volume-law phase thereby, discover an intrinsic length scale $ξ_E$ that diverges at the critical measurement probability $p_c$. While classical percolation transition captures successful transport across a network, MIPT as characterized by LE can be interpreted as quantifying the amount of quantum teleportation between two given nodes in a quantum circuit. Building on this insight, we propose a two-ancilla protocol that provides an experimentally accessible readout of entanglement redistribution across the transition. |
| title | Localizable Entanglement as an Order Parameter for Measurement-Induced Phase Transitions |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2601.14185 |