Develops an optimization-free disentangling algorithm and algebraic criterion for efficient CAMPS representations of Clifford circuits doped with αI+βP gates, enabling polynomial classical simulation for more circuits including typical N-T-gate random instances.
Or´ us, A practical introduction to tensor networks: Matrix product states and projected entangled pair states, Annals of Physics 349, 117 (2014)
3 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 3representative citing papers
Gauged Gaussian PEPS ansatz demonstrated on Z2 gauge theory with dynamical fermions, agreeing with exact diagonalization on small lattices and feasible for larger ones.
The paper proves sample complexity bounds showing that any efficiently representable unitary can be learned incoherently with arbitrary measurements, but only low-entangling unitaries with shallow-depth measurements, and demonstrates this on a 16-qubit hardware device.
citing papers explorer
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Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states
Develops an optimization-free disentangling algorithm and algebraic criterion for efficient CAMPS representations of Clifford circuits doped with αI+βP gates, enabling polynomial classical simulation for more circuits including typical N-T-gate random instances.
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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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The power and limitations of learning quantum dynamics incoherently
The paper proves sample complexity bounds showing that any efficiently representable unitary can be learned incoherently with arbitrary measurements, but only low-entangling unitaries with shallow-depth measurements, and demonstrates this on a 16-qubit hardware device.