Measurement-Induced Phase Transitions: Universal Entanglement Scaling at Quantum Criticality — E8…

Abstract

FINDING: Measurement-induced phase transitions (MIPT) in quantum systems reveal a sharp entanglement phase boundary driven by the competition between unitary evolution and projective measurements, with critical points often characterized by universal exponents and effective central charges. | MATH: The MIPT is typically studied via the entanglement entropy S = −Tr(ρ_A ln ρ_A) scaling as S ∼ c/6 ln L at criticality (for 1+1D conformal field theory), where c is the effective central charge. The critical measurement rate p_c separates volume-law (S ∝ L) from area-law (S ∝ const) phases. For Clifford circuits, the transition is in the percolation universality class with c = 0 (or c = ln 2 for Haar random circuits). The "1/(2π)" appears in the context of the quantum Zeno effect: for a system measured at rate γ, the effective Hamiltonian is \(H_{\text{eff}} = H - i \frac{\gamma}{2} \sum_m |m\rangle\langle

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Quantum criticality and mixed-state entanglement in holographic superconductor–insulator transitions
Zhe Yang, Fang-Jing Cheng, Guoyang Fu +3
The European Physical Journal C29 Oct 2026Peer-reviewedCC BY 4.0Full textHigh-energy & particle physicsSpringerCrossref
Topological Phase Transitions Beyond Landau: Deconfined Quantum Criticality in 3+1D — E8 Intelligence Research
Andrew Stewart Caldin
Zenodo25 Oct 2026PreprintCC BY 4.0Zenodo
Classical Cellular Automaton for Measurement-Only Entanglement Transitions
Will Holdhusen, Bailey M. McAmis, Armin Rahmani
arXiv14 Oct 2026PreprintCC BY 4.0Full textQuantum physics & quantum information Statistical & nonlinear physicsarXiv
Universal statistics of measurement-induced entanglement in Tomonaga-Luttinger liquids
Kabir Khanna, Romain Vasseur
SciPost Physics21 Oct 2026Peer-reviewedCC BY 4.0Full textAtomic, molecular & optical physicsCrossref
E8 Phi‑Comb Governs Universal Scale‑Invariant Entanglement Spectra in Multi‑Qubit Stabilizer Codes — E8 Intelligence Research
Andrew Stewart Caldin
Zenodo24 Oct 2026PreprintCC BY 4.0Zenodo

Cite

BibTeX RIS

BibTeX

@misc{caldin2026measurementinduced,
  title = {{Measurement-Induced Phase Transitions: Universal Entanglement Scaling at Quantum Criticality — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23409748},
  url = {https://zenodo.org/records/23409748},
  note = {CC BY 4.0},
}

RIS

TY  - UNPB
TI  - Measurement-Induced Phase Transitions: Universal Entanglement Scaling at Quantum Criticality — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/16
PB  - Zenodo
DO  - 10.5281/zenodo.23409748
UR  - https://zenodo.org/records/23409748
AB  - FINDING: Measurement-induced phase transitions (MIPT) in quantum systems reveal a sharp entanglement phase boundary driven by the competition between unitary evolution and projective measurements, with critical points often characterized by universal exponents and effective central charges. | MATH: The MIPT is typically studied via the entanglement entropy S = −Tr(ρ_A ln ρ_A) scaling as S ∼ c/6 ln L at criticality (for 1+1D conformal field theory), where c is the effective central charge. The critical measurement rate p_c separates volume-law (S ∝ L) from area-law (S ∝ const) phases. For Clifford circuits, the transition is in the percolation universality class with c = 0 (or c = ln 2 for Haar random circuits). The "1/(2π)" appears in the context of the quantum Zeno effect: for a system measured at rate γ, the effective Hamiltonian is \(H_{\text{eff}} = H - i \frac{\gamma}{2} \sum_m |m\rangle\langle  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -

Abstract

Related

Cite