Localized charges, reset noise, and boundary memory in matrix-product-conserving quantum chains

arXiv:2609.23195 · quant-ph, cond-mat.stat-mech, math-ph, math.MP · Submitted 2026-09-19 · Read on arXiv

quant-ph, cond-mat.stat-mech, math-ph, math.MP

Submitted: 2026-09-19

Updated: 2026-09-19

Terminology

• Trace — 19× in this paper · explained in 2 episodes
• Entanglement — 6× in this paper · explained in 4 episodes
• Hilbert Space — 6× in this paper · explained in 2 episodes
• Verifier — 6× in this paper · explained in 2 episodes
• Benchmark — 5× in this paper · explained in 2 episodes
• Fidelity — 5× in this paper · explained in 2 episodes
• Calibration — 2× in this paper · explained in 7 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Fisher Information — 2× in this paper · explained in 3 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Verification — 2× in this paper · explained in 2 episodes
• Algebraic Invariants — 1× in this paper · explained in 1 episode
• Conservation Laws — 1× in this paper · explained in 3 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Provenance — 1× in this paper · explained in 4 episodes

Sources

• Statistical localization: from strong fragmentation to strong edge modes
• Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
• Local constraints can globally shatter Hilbert space: a new route to quantum information protection
• Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
• Exponentially slow thermalization and the robustness of Hilbert space fragmentation
• Exponentially slow thermalization in 1D fragmented dynamics
• Enhancing correlation times for edge spins through dissipation
• Dynamics in the presence of local symmetry-breaking impurities
• Quantum union bounds for sequential projective measurements
• Union bound for quantum information processing
• The Quantum Union Bound made easy
• Revisiting the Mazur bound and the Suzuki equality
• Bottlenecks in quantum channels and finite temperature phases of matter
• Slow Mixing of Quantum Gibbs Samplers
• The $\chi^2$-divergence and Mixing times of quantum Markov processes
• Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions
• Heat kernels are not uniform expanders
• Two-sided bounds on minimum-error quantum measurement, on the reversibility of quantum dynamics, and on the maximum overlap problem using directional iterates
• Reversing quantum dynamics with near-optimal quantum and classical fidelity
• Quantum computing with Qiskit

Related papers

• Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Polynomial-time classical and quantum simulation of quantum impurity models
• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
• Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity