MPS TE-PAI achieves unbiased classical time evolution by averaging tensor-network representations of randomized shallow Trotter circuits, yielding lower gate counts per sample and better tolerance to bond-dimension truncation than standard methods.
Orús, A practical introduction to tensor networks: Matrix product states and projected entangled pair states, Annals of Physics349, 117 (2014)
4 Pith papers cite this work. Polarity classification is still indexing.
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Matrix product state simulations of 2D Rayleigh-Bénard convection recover Nusselt number statistics with 1.8% error and a 9-fold reduction in degrees of freedom at Ra=10^10 using bond dimensions comparable to lower Ra cases.
uMPS simulations of φ⁴ theory in 1+1 dimensions extract elastic scattering probabilities and time delays that diverge near the critical point, serving as a dynamical signature of the quantum phase transition.
SMT-AD applies superposition of bond-dimension-1 matrix product operators with multiresolution Fourier embedding to achieve competitive anomaly detection on standard datasets with linear parameter growth.
citing papers explorer
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Quantum-inspired classical simulation through randomized time evolution
MPS TE-PAI achieves unbiased classical time evolution by averaging tensor-network representations of randomized shallow Trotter circuits, yielding lower gate counts per sample and better tolerance to bond-dimension truncation than standard methods.
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Quantum-Inspired Simulation of 2D Turbulent Rayleigh-B\'enard Convection
Matrix product state simulations of 2D Rayleigh-Bénard convection recover Nusselt number statistics with 1.8% error and a 9-fold reduction in degrees of freedom at Ra=10^10 using bond dimensions comparable to lower Ra cases.
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Real-time Scattering in \phi^4 Theory using Matrix Product States
uMPS simulations of φ⁴ theory in 1+1 dimensions extract elastic scattering probabilities and time delays that diverge near the critical point, serving as a dynamical signature of the quantum phase transition.
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SMT-AD: a scalable quantum-inspired anomaly detection approach
SMT-AD applies superposition of bond-dimension-1 matrix product operators with multiresolution Fourier embedding to achieve competitive anomaly detection on standard datasets with linear parameter growth.