REVIEW 22 cited by
Measurement-induced entanglement transitions in quantum circuits of non-interacting fermions: Born-rule versus forced measurements
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Measurement-induced entanglement transitions in quantum circuits of non-interacting fermions: Born-rule versus forced measurements
read the original abstract
We address entanglement transitions in monitored random quantum circuits of non-interacting fermions, in particular, the question of whether Born-rule and forced measurements yield the same universality class. For a generic circuit with no symmetry other than fermion parity, acting on a one-dimensional Majorana chain, we numerically obtain several critical exponents, providing clear evidence that the two transitions with Born-rule and forced measurements are in different universality classes. We provide a theoretical understanding for our numerical results by identifying the underlying statistical mechanics model which follows from the general correspondence, established in Jian et al., Phys. Rev. B 106, 134206, between non-unitary circuits of non-interacting fermions and the ten-fold Altland-Zirnbauer (AZ) symmetry classes. The AZ class is the same for Born-rule and forced measurements of the circuits. For the circuit under consideration (in AZ class DIII), the statistical mechanics model describing the transition is the principal chiral non-linear sigma model whose field variable is an ${\rm SO}(n)$ matrix in the replica limits $n\to 0$ and $n\to 1$ for forced and Born-rule measurements, respectively. The former is in an Anderson localization universality class while we show that the latter is in a novel universality class beyond Anderson localization. Both entanglement transitions are driven by proliferation of $\mathbb{Z}_2$ topological defects. The different replica limits account for the difference in the universality classes. Furthermore, we provide numerical and symmetry-based arguments that the entanglement transition in the previously-studied monitored circuit of Majorana fermions based on the loop model with crossings, a highly fine-tuned circuit, belongs to a universality class different from both transitions in the generic circuits discussed in this paper.
Forward citations
Cited by 22 Pith papers
-
Decoding coherent errors in toric codes on honeycomb and square lattices: duality to Majorana monitored dynamics and symmetry classes
Toric code decodability under coherent X/Z errors is dual to Majorana monitored dynamics whose symmetry class (D or DIII) dictates whether the generic transition is a measurement-induced entanglement transition or a t...
-
Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes
The tricritical point at the learning transition of deformed toric codes is a higher Nishimori critical point where the Edwards-Anderson correlation exponent exactly matches the clean Ising spin exponent and c_eff is ...
-
Free-Fermion Dynamics with Measurements: Topological Classification and Adaptive Preparation of Topological States
Symmetry classification of measurement-inclusive fermionic dynamics with equivalence between many-body and single-particle schemes, plus post-selection-free adaptive circuits for topological states in four classes.
-
Universal purification dynamics of monitored Clifford circuits
Purification of weakly monitored Clifford circuits on prime-dimensional qudits reduces exactly to a pure-death Markov process on the density-matrix rank, producing compact universal scaling functions for all Rényi entropies.
-
Entanglement transitions and multifractality in monitored free-fermions with random long-range hopping
Random power-law hopping in monitored 1D free fermions yields volume-law EE for α≲1/2, area-law for α>3/2, and an α-dependent MIPT with multifractal correlations for 1<α≲3/2.
-
Universality of Measurement-Induced Criticality under Symmetry-Breaking Measurements
Symmetry-breaking local measurements are a relevant perturbation that drives U(1)-symmetric monitored circuits into the generic non-symmetric MIPT universality class, with finite charge correlation length at any measu...
-
Super-Logarithmic Entanglement Scaling in a Monitored Superconducting Chain
Rare measurements on a 1D spinful s-wave BCS chain dynamically project soft modes onto an SO(R) NLSM whose R→1 weak-anti-localization flow yields steady-state entanglement S(L) ~ ln² L without a WZW term.
-
Projected logical ensembles in surface codes via the random-matrix theory of quantum dots
For single-logical-qubit surface codes with uniform X rotations, the projected logical ensemble after syndrome extraction and maximum-likelihood decoding is isomorphic to scattering-matrix ensembles of chaotic quantum...
-
No measurement induced phase transition in the entanglement dynamics of monitored non-interacting one-dimensional fermions in a disordered or quasiperiodic potential
Large-scale numerics and nonlinear sigma model mapping demonstrate that monitored non-interacting 1D fermions in disordered or quasiperiodic potentials remain in the area-law phase for all monitoring and disorder stre...
-
Measurement-enhanced entanglement in a monitored superconducting chain
Measurements enhance steady-state entanglement in a paired fermionic chain by suppressing pairing correlations, but the enhancement scales as ln squared L and vanishes in the thermodynamic limit.
-
Non-linear Sigma Model for the Surface Code with Coherent Errors
A non-linear sigma model maps surface-code decoding under coherent errors to distinct replica limits, exposing a thermal-metal phase for suboptimal decoders that is absent in optimal decoding.
-
Replica Keldysh field theory of quantum-jump processes: General formalism and application to imbalanced and inefficient fermion counting
A replica Keldysh field theory for general quantum-jump processes is derived; for imbalanced and inefficient 1D fermion counting it predicts no measurement-induced transition and an inefficiency scale ξ∼(1−η)^{−1/2}, ...
-
Absence of measurement- and unraveling-induced entanglement transitions in continuously monitored one-dimensional free fermions
Replica Keldysh analysis shows monitored 1D free fermions exhibit area-law entanglement beyond an exponentially large scale ln(l_φ,*) ~ J/[γ cos(φ)], with no genuine measurement- or unraveling-induced entanglement tra...
-
Universality of Measurement-Induced Criticality under Symmetry-Breaking Measurements
In U(1)-symmetric monitored random circuits, symmetry-breaking measurements drive the entanglement transition to the non-symmetric universality class and keep the charge correlation length finite at any measurement rate.
-
No measurement induced phase transition in the entanglement dynamics of monitored non-interacting one-dimensional fermions in a disordered or quasiperiodic potential
Large-scale numerics up to 18000 sites and nonlinear sigma model analysis demonstrate that monitored non-interacting 1D fermions in disorder or quasiperiodicity exhibit only area-law entanglement with no MIPT at any m...
-
Generation of Volume-Law Entanglement by Local-Measurement-Only Quantum Dynamics
A measurement-only model with fermionic and ancilla chains generates volume-law entanglement and mutual information via local non-random non-commuting measurements, including using only one-body operators.
-
Entanglement dynamics of monitored noninteracting fermions on graphics processing units
GPU-enabled simulations at L=16384 (1D) and 160x160 (2D) confirm no MIPT in 1D but a finite-rate MIPT in 2D with ν≈1.3, partially disagreeing with NLSM predictions.
-
Phases of decodability in the surface code with unitary errors
Numerical simulations of the surface-code ML decoder under single- and two-qubit unitary rotations reveal a ferromagnetic volume-law phase in which classical information is retained yet hard to recover.
-
Range-controlled entanglement in Lindbladian skin states of monitored fermions
Short-range hopping yields complete skin accumulation with area-law entanglement while long-range hopping produces bulk tails and algebraic sub-volume-law entanglement in Lindbladian skin states of monitored fermions.
-
Measurement-induced phase transitions in disordered fermions
Disorder does not alter the presence or absence of measurement-induced phase transitions in noninteracting fermions; the long-time behavior is controlled by the same nonlinear sigma model with renormalized parameters.
-
Disappearance of measurement-induced phase transition in a quantum spin system for large sizes
In this global-measurement Ising protocol the apparent measurement-induced transition at finite τ_c for L≈26-28 recedes to τ_c=0 in the large-L limit with scaling τ_c∼1/√L.
-
Entanglement behavior and localization properties in monitored fermion systems
Numerical study of monitored fermions finds integrable cases fit by linear-to-power-law interpolation for entanglement scaling, SYK shows volume law, and t-V hints at transition, with unrelated anomalous delocalizatio...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.