【摘 要】
：
Classical simulation of quantum many-body systems is a funda-mental problem in computational physics.One difficulty is that a generic many-body state cannot even be represented in polyno-mial space because the dimension of the Hilbert space grows expo-nen
【机 构】
：
Center for Theoretical Physics,Massachusetts Institute of Technology,Cambridge,Massachusetts 02139,U
论文部分内容阅读
Classical simulation of quantum many-body systems is a funda-mental problem in computational physics.One difficulty is that a generic many-body state cannot even be represented in polyno-mial space because the dimension of the Hilbert space grows expo-nentially with the system size.Fortunately,many physically interesting states are non-generic and structured.It may be possi-ble to avoid the “curse of dimensionality” by exploiting their structure.rnIn one-dimensional quantum systems such as spin chains,matrix product state (MPS) methods,including the celebrated den-sity matrix renormalization group,are popular and numerically powerful[1].As the name suggests,an MPS is a data structure rep-resenting a many-body state by products of matrices.The dimen-sion of the matrices is called the bond dimension,which determines the space complexity or the number of parameters in the MPS.
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