Preparing projected entangled pair states on a quantum computer

Details Preparing projected entangled pair states on a quantum computer Preparing projected entangled pair states on a quantum computer

2011-04-07

arxiv.org/abs/1104.1410v2

Phys. Rev. Lett. 108, 110502 (2012)

Physics

Quantum Physics

5 pages, 1 figure. To be published in Physical Review Letters. Removed heuristics, refined run-time bound

Scientific paper

10.1103/PhysRevLett.108.110502

We present a quantum algorithm to prepare injective 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' parent Hamiltonian.

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