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PRECISION-PRESERVING QUBIT REDUCTION BASED ON SPATIAL SYMMETRIES IN FERMIONIC SYSTEMS
PRECISION-PRESERVING QUBIT REDUCTION BASED ON SPATIAL SYMMETRIES IN FERMIONIC SYSTEMS
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机译:基于FEMIONIC系统的空间对称的精确保存量子平衡
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摘要
Systems and techniques that facilitate precision-preserving qubit reduction based on spatial symmetries in fermionic systems are provided. In one or more embodiments, a symmetry component can generate a diagonalized second quantization representation of a spatial point group symmetry operation. The spatial point group symmetry operation can be associated with a molecule (e.g., a geometrical rotation, reflection, and/or inversion of a physical molecule that results in a new molecular orientation that is substantially the same as the original molecular orientation). In one or more embodiments, a transformation component can convert the diagonalized second quantization representation into a single Pauli string. In one or more embodiments, a tapering component can taper off qubits in a computational quantum algorithm that models properties of the molecule, based on the single Pauli string. Various embodiments can thus leverage geometrical spatial symmetries of a molecule to reduce a number of qubits needed to simulate the molecule.
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