标题： 低权重费米子编码用于格点模型 显示英文标题

标题： Low Weight Fermionic Encodings for Lattice Models

摘要： 我们提出了两种针对正方形和六边形晶格的费米子到量子位编码，这些编码保持了偶数费米算符的局部性。 这些编码每个费米子模式使用的量子位少于1.5个，偶数费米代数的生成元的最大保罗权重为3。 当应用于费米-哈伯德模型时，这种编码结果中的跳跃项和局域项的最大保罗权重为3。 据我们所知，没有其他局部费米编码具有如此小的量子位与模式比率，或在费米-哈伯德模型项的保罗权重方面具有如此低的上限。 显示英文摘要

摘要： We present two fermion to qubit encodings tailored to square and hexagonal lattices that preserve the locality of even fermionic operators. These encodings use fewer than 1.5 qubits per fermionic mode, and the generators of the even fermionic algebra have maximum Pauli weight 3. When applied to the Fermi-Hubbard model this encoding results in hopping and onsite terms with at most Pauli weight 3. As far as we are aware no other local fermionic encoding has as small a qubit to mode ratio, or as low an upper bound on the Pauli weights of the terms in the Fermi-Hubbard model.