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Matrix Product State Representations
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This work gives a detailed investigation of matrix product state (MPS) representations for pure multipartite quantum states. We determine the freedom in representations with and without translation symmetry, derive respective canonical forms and provide efficient methods for obtaining them. Results on frustration free Hamiltonians and the generation of MPS are extended, and the use of the MPS-representation for classical simulations of quantum systems is discussed.
Forward citations
Cited by 41 Pith papers
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Scalable Neural Quantum State based Kernel Polynomial Method for Optical Properties from the First Principle
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Quantum computation of hadron scattering in a lattice gauge theory
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Tensor-network decoders for process tensor descriptions of non-Markovian noise
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Entanglement scaling in matrix product state representation of smooth functions and their shallow quantum circuit approximations
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