Preparing topological projected entangled pair states on a quantum computer

Autor(en)

Martin Schwarz, Kristan Temme, Frank Verstraete, David Perez-Garcia, Toby S. Cubitt

Abstrakt

Simulating exotic phases of matter that are not amenable to classical techniques is one of the most important potential applications of quantum information processing. We present an efficient algorithm for preparing a large class of topological quantum states, the G-injective projected entangled pair states (PEPS), on a quantum computer. Important examples include the resonant valence bond states, conjectured to be topological spin liquids. The runtime of the algorithm scales polynomially with the condition number of the PEPS projectors and inverse polynomially in the spectral gap of the PEPS parent Hamiltonian.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Universidad Complutense De Madrid, University of Cambridge, Massachusetts Institute of Technology

Journal

Physical Review A

Band

88

Anzahl der Seiten

6

ISSN

1050-2947

DOI

https://doi.org/10.1103/PhysRevA.88.032321

Publikationsdatum

09-2013

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik, 103019 Mathematische Physik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/25c34165-9123-432c-a379-b44e4c6a1ce5