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Quantum circuits for strongly correlated quantum systems

Autor(en)
Frank Verstraete, J. Ignacio Cirac, José Ignacio Latorre
Abstrakt

We present an approach to gain detailed control on the quantum simulation of strongly correlated quantum many-body systems by constructing the explicit finite quantum circuits that diagonalize their dynamics. As a particularly simple instance, the full dynamics of a one-dimensional Quantum Ising model in a transverse field with four spins is shown to be reproduced using a quantum circuit of only six local gates. This opens up the possibility of experimentally producing strongly correlated states, their time evolution at zero time, and even thermal superpositions at zero temperature. Our method also allows one to uncover the exact circuits corresponding to models that exhibit topological order and to stabilizer states.

Organisation(en)
Quantenoptik, Quantennanophysik und Quanteninformation
Externe Organisation(en)
Max-Planck-Institut für Quantenoptik, Universitat Autònoma de Barcelona
Journal
Physical Review A
Band
79
Anzahl der Seiten
5
ISSN
1050-2947
DOI
https://doi.org/10.1103/PhysRevA.79.032316
Publikationsdatum
03-2009
Peer-reviewed
Ja
ÖFOS 2012
103025 Quantenmechanik
Schlagwörter
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/7a9b7c53-8f98-485a-bab3-fec7d615e25c