Two constructions yield strong unitary k-designs and pseudorandom unitaries on D-dimensional grids with provably optimal depth.
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COO co-optimizes orbitals with TrimCI to absorb many-body correlations into the basis, cutting determinant count by orders of magnitude for iron-sulfur clusters versus localized bases or DMRG.
An auxiliary-fermion encoding removes Jordan-Wigner strings for sparse non-local fermion models, achieving asymptotically optimal Trotter circuit depth on qubits after one-time state preparation.
Authors propose implementing the non-unitary Jastrow-Gutzwiller operator via cascaded VQE on quantum hardware and demonstrate it for the Hubbard model on IBM Q Lagos.
citing papers explorer
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Arts & crafts: Strong random unitaries and geometric locality
Two constructions yield strong unitary k-designs and pseudorandom unitaries on D-dimensional grids with provably optimal depth.
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Absorbing Many-Body Correlations into Core-Optimized Orbitals
COO co-optimizes orbitals with TrimCI to absorb many-body correlations into the basis, cutting determinant count by orders of magnitude for iron-sulfur clusters versus localized bases or DMRG.
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Efficient Simulation of Sparse, Non-Local Fermion Models
An auxiliary-fermion encoding removes Jordan-Wigner strings for sparse non-local fermion models, achieving asymptotically optimal Trotter circuit depth on qubits after one-time state preparation.
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Implementing Jastrow--Gutzwiller operators on a quantum computer using the cascaded variational quantum eigensolver algorithm
Authors propose implementing the non-unitary Jastrow-Gutzwiller operator via cascaded VQE on quantum hardware and demonstrate it for the Hubbard model on IBM Q Lagos.