We show that all zero energy eigenstates of an arbitrary $m$--state quantumspin chain Hamiltonian with nearest neighbor interaction in the bulk and singlesite boundary terms, which can also describe the dynamics of stochastic models,can be written as matrix product states. This means that the weights in thesestates can be expressed as expectation values in a Fock representation of analgebra generated by $2m$ operators fulfilling $m^2$ quadratic relations whichare defined by the Hamiltonian.
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机译：我们表明，在本体和单位边界项中具有任意邻域相互作用的任意$ m $-状态量子自旋链哈密顿量的所有零能本征状态都可以表示为矩阵乘积状态。这意味着在这些状态下的权重可以表示为在满足哈密顿量定义的满足$ m ^ 2 $二次关系的$ 2m $算子生成的代数的Fock表示中的期望值。
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