A hierarchy of SDPs yields lower bounds on spectral gaps of frustration-free Hamiltonians that encompass and improve upon Knabe's bound on 1D spin chains.
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Gauged Gaussian PEPS ansatz demonstrated on Z2 gauge theory with dynamical fermions, agreeing with exact diagonalization on small lattices and feasible for larger ones.
QGANs with quantum generators and classical discriminators generate financial time series matching target distributions and desired temporal correlations, with quality varying by circuit depth, bond dimension, and simulation method.
citing papers explorer
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A Hierarchy of Spectral Gap Certificates for Frustration-Free Spin Systems
A hierarchy of SDPs yields lower bounds on spectral gaps of frustration-free Hamiltonians that encompass and improve upon Knabe's bound on 1D spin chains.
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Projected Entangled Pair States for Lattice Gauge Theories with Dynamical Fermions
Gauged Gaussian PEPS ansatz demonstrated on Z2 gauge theory with dynamical fermions, agreeing with exact diagonalization on small lattices and feasible for larger ones.
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Quantum generative modeling for financial time series with temporal correlations
QGANs with quantum generators and classical discriminators generate financial time series matching target distributions and desired temporal correlations, with quality varying by circuit depth, bond dimension, and simulation method.