Aufsatz
Artikel (Publikationen im Open Access gefördert durch die UB)
Optimal control theory for a unitary operation under dissipative evolution
Zusammenfassung
We show that optimizing a quantum gate for an open quantum system requires the time evolution of only three states irrespective of the dimension of Hilbert space. This represents a significant reduction in computational resources compared to the complete basis of Liouville space that is commonly believed necessary for this task. The reduction is based on two observations: the target is not a general dynamical map but a unitary operation; and the time evolution of two properly chosen states is sufficient to distinguish any two unitaries. We illustrate gate optimization employing a reduced set of states for a controlled phasegate with trapped atoms as qubit carriers and a iSWAP gate with superconducting qubits.
Zitierform
In: New journal of physics. - London : IOP, 2014, 16, 055012 , 1-28Förderhinweis
Gefördert durch den Publikationsfonds der Universität KasselSammlung(en)
Publikationen (Theoretische Physik III - Quantendynamik und -kontrolle)Artikel (Publikationen im Open Access gefördert durch die UB)
Zitieren
@article{urn:nbn:de:hebis:34-2014103046201,
author={Goerz, Michael H. and Reich, Daniel M. and Koch, Christiane P.},
title={Optimal control theory for a unitary operation under dissipative evolution},
year={2014}
}
0500 Oax 0501 Text $btxt$2rdacontent 0502 Computermedien $bc$2rdacarrier 1100 2014$n2014 1500 1/ 2050 ##0##urn:nbn:de:hebis:34-2014103046201 3000 Goerz, Michael H. 3010 Reich, Daniel M. 3010 Koch, Christiane P. 4000 Optimal control theory for a unitary operation under dissipative evolution / Goerz, Michael H. 4030 4060 Online-Ressource 4085 ##0##=u http://nbn-resolving.de/urn:nbn:de:hebis:34-2014103046201=x R 4204 \$dAufsatz 4170 7136 ##0##urn:nbn:de:hebis:34-2014103046201
2014-10-30T10:48:43Z 2014-10-30T10:48:43Z 2014 1367-2630 urn:nbn:de:hebis:34-2014103046201 http://hdl.handle.net/123456789/2014103046201 Gefördert durch den Publikationsfonds der Universität Kassel Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ quantum dissipative systems entanglement creation optimal control theory 530 Optimal control theory for a unitary operation under dissipative evolution Aufsatz We show that optimizing a quantum gate for an open quantum system requires the time evolution of only three states irrespective of the dimension of Hilbert space. This represents a significant reduction in computational resources compared to the complete basis of Liouville space that is commonly believed necessary for this task. The reduction is based on two observations: the target is not a general dynamical map but a unitary operation; and the time evolution of two properly chosen states is sufficient to distinguish any two unitaries. We illustrate gate optimization employing a reduced set of states for a controlled phasegate with trapped atoms as qubit carriers and a iSWAP gate with superconducting qubits. open access In: New journal of physics. - London : IOP, 2014, 16, 055012 , 1-28 Goerz, Michael H. Reich, Daniel M. Koch, Christiane P. doi:10.1088/1367-2630/16/5/055012
Die folgenden Lizenzbestimmungen sind mit dieser Ressource verbunden:
:Urheberrechtlich geschützt