Continuous monitoring with jump operators forming a deformed unitary 1-design rigorously produces the Scrooge ensemble as the unique late-time equilibrium distribution of quantum trajectories for any target density matrix.
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The k-commutant of free fermions is the Grassmannian manifold of fermionic Gaussian states on 2k sites, exposing a real-replica space duality.
QCNNs are classically simulable via Pauli shadows on low-bodyness subspaces of locally-easy datasets, with explicit simulation demonstrated up to 1024 qubits for phases of matter classification.
citing papers explorer
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Exact Hilbert-space ergodicity from continuous monitoring
Continuous monitoring with jump operators forming a deformed unitary 1-design rigorously produces the Scrooge ensemble as the unique late-time equilibrium distribution of quantum trajectories for any target density matrix.
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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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Quantum Convolutional Neural Networks are Effectively Classically Simulable
QCNNs are classically simulable via Pauli shadows on low-bodyness subspaces of locally-easy datasets, with explicit simulation demonstrated up to 1024 qubits for phases of matter classification.