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Compressed simulation of evolutions of the XY model

Autor(en)
W. L. Boyajian, V. Murg, B. Kraus
Abstrakt

We extend the notion of compressed quantum simulation to the XY model. We derive a quantum circuit processing log(n) qubits which simulates the one-dimensional XY model describing n qubits. In particular, we demonstrate how the adiabatic evolution can be realized on this exponentially smaller system and how the magnetization, which witnesses a quantum phase transition, can be observed. Furthermore, we analyze several dynamical processes, like quantum quenching and finite time evolution, and derive the corresponding compressed quantum circuit.

Organisation(en)
Quantenoptik, Quantennanophysik und Quanteninformation
Externe Organisation(en)
Leopold-Franzens-Universität Innsbruck
Journal
Physical Review A
Band
88
Anzahl der Seiten
18
ISSN
1050-2947
DOI
https://doi.org/10.1103/PhysRevA.88.052329
Publikationsdatum
11-2013
Peer-reviewed
Ja
ÖFOS 2012
103036 Theoretische Physik, 103026 Quantenoptik
Schlagwörter
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/b7ca2c0d-69da-4d6b-ad7d-cf70c9dde767