Hardware-efficient gates are universal for state preparation in particle-number and symmetry-constrained subspaces because commutators generate Pauli Z projectors that span the full so(w) and su(w) algebras.
State preparation and symmetries
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A Slater-determinant-to-qubit mapping enables low-depth VQE circuits for nuclear shell model calculations on NISQ hardware, achieving less than 4% deviation from classical predictions after zero-noise extrapolation for nuclei including lithium isotopes and 210Pb.
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Universality of Quantum Gates in Particle and Symmetry Constrained Subspaces
Hardware-efficient gates are universal for state preparation in particle-number and symmetry-constrained subspaces because commutators generate Pauli Z projectors that span the full so(w) and su(w) algebras.
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A low-circuit-depth quantum computing approach to the nuclear shell model
A Slater-determinant-to-qubit mapping enables low-depth VQE circuits for nuclear shell model calculations on NISQ hardware, achieving less than 4% deviation from classical predictions after zero-noise extrapolation for nuclei including lithium isotopes and 210Pb.