REVIEW 9 cited by
Decoding Measurement-Prepared Quantum Phases and Transitions: from Ising model to gauge theory, and beyond
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
Decoding Measurement-Prepared Quantum Phases and Transitions: from Ising model to gauge theory, and beyond
read the original abstract
Measurements allow efficient preparation of interesting quantum many-body states with long-range entanglement, conditioned on additional transformations based on measurement outcomes. Here, we demonstrate that the so-called conformal quantum critical points (CQCP) can be obtained by performing general single-site measurements in an appropriate basis on the cluster states in $d\geq2$. The equal-time correlators of the said states are described by correlation functions of certain $d$-dimensional classical models at finite temperatures and feature spatial conformal invariance. This establishes an exact correspondence between the measurement-prepared critical states and conformal field theories of a range of critical spin models, including familiar Ising models and gauge theories. Furthermore, by mapping the long-range entanglement structure of measured quantum states into the correlations of the corresponding thermal spin model, we rigorously establish the stability condition of the long-range entanglement in the measurement-prepared quantum states deviating from the ideal setting. Most importantly, we describe protocols to decode the resulting quantum phases and transitions without post-selection, thus transferring the exponential measurement complexity to a polynomial classical computation. Therefore, our findings suggest a novel mechanism in which a quantum critical wavefunction emerges, providing new practical ways to study quantum phases and conformal quantum critical points.
Forward citations
Cited by 9 Pith papers
-
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 ...
-
Learning transitions in classical Ising models and deformed toric codes
Learning transitions exist in the 2D Ising model when inferring local energies via Bayesian methods, intersecting the thermal transition at a new tricritical point and implying robustness of quantum memory in deformed...
-
Optimal Decoding for Measurement-Based GHZ State Preparation: The Maximum-Utility Decoder
Decoders that maximize the GHZ state's squared magnetization — especially the near-free syndrome-weighted MWPM — beat bare MWPM and close ~87% of the gap to the optimal threshold; endpoint-only decoders' thresholds re...
-
Post-measurement Quantum Monte Carlo
Post-measurement SSE QMC is introduced to study measurement effects on thermal states of the square-lattice Heisenberg antiferromagnet, showing efficient computation of Bell pairs and enhanced antiferromagnetic correl...
-
Nishimori Threshold Estimation for Bayesian Inference and $\mathbb{Z}_q$ Surface Code Decoding
A four-replica Fourier–Walsh projection maps clean-model critical couplings to Nishimori thresholds, yielding closed-form estimates for Ising, Potts, and Z_q clock surface-code decoding.
-
Fast mixing of all-to-all quantum systems at high temperatures
k-local quantum Hamiltonians admit system-size-independent spectral gap for Gibbs samplers at high temperature, enabling FPT quantum approximation algorithms for partition functions.
-
Quantum sensing with critical systems: impact of symmetry, imperfections, and decoherence
Symmetry generators give optimal readouts for critical-state quantum sensors, and such sensors stay at or above the standard quantum limit under spin-flip, dephasing, and qubit-loss noise, with non-unitary deformation...
-
Data-Driven Learnability Transition of Measurement-Induced Entanglement
A transformer trained only on measurement outcomes estimates measurement-induced entanglement with polynomial resources below a critical circuit depth; above it the estimate saturates at maximal uncertainty — a learna...
-
Strong-to-Weak Spontaneous Symmetry Breaking
SW-SSB extends symmetry breaking to mixed states and serves as a unifying perspective connecting topological orders, emergent hydrodynamics, and information-theoretic characterizations of phases in open systems.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.