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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeFeb 3rd 2019

    The term “tensor network”, while essentially just a synonym for “string diagram”, has in recent years become widely used and now fully established in quantum physics, especially in its use for discussion of holographic entanglement entropy. It needs a page of its own, if only to point to string diagram while also listing the relevant physics references

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeFeb 3rd 2019

    made page name singular

    v1, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeDec 24th 2019

    added pointer to today’s

    diff, v8, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeFeb 7th 2020

    added pointer to this recent review:

    diff, v14, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeFeb 7th 2020

    started to add some actual content to the Idea section (here)

    diff, v15, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeFeb 7th 2020

    added pointer to:

    • Roman Orus, A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States, Annals of Physics 349 (2014) 117-158 (arXiv:1306.2164)

    diff, v16, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeFeb 7th 2020

    added also pointer to this review:

    • F. Verstraete, J. I. Cirac, V. Murg, Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems, Adv. Phys. 57,143 (2008) (arXiv:0907.2796)

    diff, v16, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeFeb 7th 2020

    and this one:

    • J. Eisert, Entanglement and tensor network states, Modeling and Simulation 3, 520 (2013) (arXiv:1308.3318)

    diff, v16, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeFeb 8th 2020

    Question:

    Does any (other) author discuss tensor network states specifically for trivalent networks with a Lie bracket tensor (Lie structure constants) on each vertex?

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeFeb 8th 2020

    added further graphics to the Idea-section

    diff, v22, current

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeApr 10th 2020

    added pointer to today’s

    diff, v33, current

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