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[TTN] Explore automatic structural optimisation #120

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PabloAndresCQ opened this issue May 28, 2024 · 0 comments
Open

[TTN] Explore automatic structural optimisation #120

PabloAndresCQ opened this issue May 28, 2024 · 0 comments
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enhancement New feature or request

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@PabloAndresCQ
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Inspired from the ideas from this paper, I'd like to provide an automated structural optimisation algorithm to the TTN simulator.

  • I believe this should be done regularly when applying a two-qubit gate if the bond dimension is deemed to be large enough that it's worth to try it.
  • I believe this should restrict to keeping the tree balanced and just swapping qubits between leaves.
  • I believe this swapping should be informed by the entropy (or Schmidt rank) between each pair of (qubit, leaf-node). This metric can be efficiently calculated from the TTN via qubit discarding.
@PabloAndresCQ PabloAndresCQ added the enhancement New feature or request label May 28, 2024
@PabloAndresCQ PabloAndresCQ self-assigned this May 28, 2024
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