External quantum fluctuations from the apparatus initial state select measurement contexts in generalized measurements, allowing different outcomes to represent different contexts.
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Fermion mappings combined with Z2 tapering and frozen-core approximations reduce qubit counts by up to 50%, gate counts by up to 27.5x, and Pauli strings by up to 2.75x for VQE on small molecules.
Kochen-Specker contextuality generalizes nonclassicality while Spekkens' noncontextuality generalizes classicality, reconciling the two as successive stages in a hierarchy of classicality.
A survey of variational quantum algorithms, quantum neural networks, and tensor networks for addressing scalability challenges in computational fluid dynamics.
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External quantum fluctuations select measurement contexts
External quantum fluctuations from the apparatus initial state select measurement contexts in generalized measurements, allowing different outcomes to represent different contexts.
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Resource Estimation for VQE on Small Molecules: Impact of Fermion Mappings and Hamiltonian Reductions
Fermion mappings combined with Z2 tapering and frozen-core approximations reduce qubit counts by up to 50%, gate counts by up to 27.5x, and Pauli strings by up to 2.75x for VQE on small molecules.
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Warring Contextualities -- Provably Classical vs Provably Nonclassical
Kochen-Specker contextuality generalizes nonclassicality while Spekkens' noncontextuality generalizes classicality, reconciling the two as successive stages in a hierarchy of classicality.
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A review of quantum machine learning and quantum-inspired applied methods to computational fluid dynamics
A survey of variational quantum algorithms, quantum neural networks, and tensor networks for addressing scalability challenges in computational fluid dynamics.