# Preparing topological PEPS on a quantum computer

@inproceedings{Schwarz2012PreparingTP, title={Preparing topological PEPS on a quantum computer}, author={Martin Schwarz and Toby S. Cubitt and Kristan Temme and F. Verstraete and David P{\'e}rez-Garc{\'i}a}, year={2012} }

Martin Schwarz, Toby S. Cubitt, Kristan Temme, Frank Verstraete, and David Perez-Garcia Vienna Center for Quantum Science and Technology, Faculty of Physics, University of Vienna, Vienna, Austria Departamento de Análisis Matemático, Universidad Complutense de Madrid, Plaza de Ciencias 3, Ciudad Universitaria, 28040 Madrid, Spain Center for Theoretical Physics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge MA 02139-4307, USA

## 4 Citations

Probabilistic nonunitary gate in imaginary time evolution

- Computer ScienceQuantum Inf. Process.
- 2021

By application of Grover's algorithm, the probabilistic method of implementing nonunitary operation is extended and it is shown that it can promote success probability without fidelity decreasing and can be applied to problems of imaginary time evolution and contraction of tensor networks on a quantum computer.

An Information-Theoretic Proof of the Constructive Commutative Quantum Lovász Local Lemma

- MathematicsArXiv
- 2013

An efficient quantum algorithm is proposed to prepare this ground state for the special case of commuting projector terms and follows the breakthrough ideas of Moser's classical algorithm and lifts his information theoretic argument to the quantum setting.

Twisted injectivity in projected entangled pair states and the classification of quantum phases

- Physics
- 2014

Spectral Gaps for the Two-Species Product Vacua and Boundary States Models on the d-Dimensional Lattice

- MathematicsJournal of Statistical Physics
- 2019

We study the two-species Product Vacua and Boundary States (PVBS) models on the integer lattice $${\mathbb {Z}}^d$$Zd and prove the existence and non-existence of a spectral gap for all choices of…

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