4.8 Article

Preparing Projected Entangled Pair States on a Quantum Computer

Journal

PHYSICAL REVIEW LETTERS
Volume 108, Issue 11, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.108.110502

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Funding

  1. Austrian SFB [FoQuS F4014]
  2. Austrian Science Fund (FWF) [W1210] Funding Source: Austrian Science Fund (FWF)

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We present a quantum algorithm to prepare injective projected entangled pair states ( PEPS) on a quantum computer, a class of open tensor networks representing quantum states. The run time of our algorithm scales polynomially with the inverse of the minimum condition number of the PEPS projectors and, essentially, with the inverse of the spectral gap of the PEPS's parent Hamiltonian.

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