An m-fold superposition of typical sub-maximally entangled states gains a universal ln(m) entanglement enhancement, while maximally entangled states relax to the Haar limit via N-independent scaling laws.
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Exact solution of Pauli-noisy matchgate circuits on critical Ising states reveals a noise-induced emergent length scale that produces thermal quasiparticle distributions despite infinite-temperature dissipation, accessible via single-qubit probes.
Holographic isoTNS represent volume-law entangled states including arbitrary fermionic Gaussian states, Clifford states, and certain short-time evolved states using an extra network dimension with isometric constraints.
Eigenstates in interacting integrable models match random superpositions of polynomially many Gaussian states for entanglement and non-Gaussianity, while nonintegrable models match exponentially many.
The k-commutant of free fermions is the Grassmannian manifold of fermionic Gaussian states on 2k sites, exposing a real-replica space duality.
In a free-fermion circuit model doped with a tunable density of integrability-breaking gates, OTOCs reveal that local hotspots accumulate to produce chaos, with explicit time and length scales and parameter dependence for butterfly velocity and front broadening.
citing papers explorer
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Typical Entanglement of Superpositions
An m-fold superposition of typical sub-maximally entangled states gains a universal ln(m) entanglement enhancement, while maximally entangled states relax to the Haar limit via N-independent scaling laws.
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Insights into decohered critical states using an exact solution to matchgate circuits with Pauli noise
Exact solution of Pauli-noisy matchgate circuits on critical Ising states reveals a noise-induced emergent length scale that produces thermal quasiparticle distributions despite infinite-temperature dissipation, accessible via single-qubit probes.
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Holographic Representation of One-Dimensional Many-Body Quantum States via Isometric Tensor Networks
Holographic isoTNS represent volume-law entangled states including arbitrary fermionic Gaussian states, Clifford states, and certain short-time evolved states using an extra network dimension with isometric constraints.
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One-Body Purity, Non-Gaussianity, and Entanglement in Interacting Integrable Models
Eigenstates in interacting integrable models match random superpositions of polynomially many Gaussian states for entanglement and non-Gaussianity, while nonintegrable models match exponentially many.
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Geometry of Free Fermion Commutants
The k-commutant of free fermions is the Grassmannian manifold of fermionic Gaussian states on 2k sites, exposing a real-replica space duality.
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On the emergence of quantum many-body chaos for tunably-broken integrability
In a free-fermion circuit model doped with a tunable density of integrability-breaking gates, OTOCs reveal that local hotspots accumulate to produce chaos, with explicit time and length scales and parameter dependence for butterfly velocity and front broadening.
- Quantum Computational Resources and Conformal Field Theory: Unifying Spins, Bosons, and Fermions