A compression protocol for controlled time evolution of local translationally invariant Hamiltonians achieves O(t polylog(t N/ε)) circuit depth with additive control overhead, demonstrated via 414 CNOT gates for iterative phase estimation on a 6×6 triangular lattice and sub-1% energy errors on a 4×4
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Numerical simulations of the dynamical dimer structure factor on the triangular Heisenberg model provide support for a gapless U(1) Dirac quantum spin liquid with gapless singlet monopole excitations at X = K/2 momenta.
Long-range interactions in the spin-one Heisenberg chain with anisotropy stabilize continuous symmetry breaking phases with logarithmic corrections to entanglement entropy and continuously varying critical exponents.
Hybrid Lanczos and MPS methods with classical Ehrenfest phonons provide numerical evidence that electron-phonon coupling delocalizes strongly disordered systems and destabilizes finite-size many-body localization.
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Phase Estimation with Compressed Controlled Time Evolution
A compression protocol for controlled time evolution of local translationally invariant Hamiltonians achieves O(t polylog(t N/ε)) circuit depth with additive control overhead, demonstrated via 414 CNOT gates for iterative phase estimation on a 6×6 triangular lattice and sub-1% energy errors on a 4×4
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Dynamical dimer structure factor of the triangular $S=1/2$ Heisenberg antiferromagnet
Numerical simulations of the dynamical dimer structure factor on the triangular Heisenberg model provide support for a gapless U(1) Dirac quantum spin liquid with gapless singlet monopole excitations at X = K/2 momenta.
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Unconventional entanglement scaling and quantum criticality in the long-range spin-one Heisenberg chain with single-ion anisotropy
Long-range interactions in the spin-one Heisenberg chain with anisotropy stabilize continuous symmetry breaking phases with logarithmic corrections to entanglement entropy and continuously varying critical exponents.
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Hybrid quantum-classical matrix-product state and Lanczos methods for electron-phonon systems with strong electronic correlations: Application to disordered systems coupled to Einstein phonons
Hybrid Lanczos and MPS methods with classical Ehrenfest phonons provide numerical evidence that electron-phonon coupling delocalizes strongly disordered systems and destabilizes finite-size many-body localization.