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Preparing Projected Entangled Pair States on a Quantum Computer

Preparing Projected Entangled Pair States on a Quantum Computer

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 …