Multifractality In Fidelity Sequences Of Optimized Toffoli Gates

dc.creatorMoqadam
dc.creatorJalil Khatibi; Welter
dc.creatorGuilherme S.; Esquef
dc.creatorPaulo A. A.
dc.date2016
dc.datenov
dc.date2017-11-13T13:23:00Z
dc.date2017-11-13T13:23:00Z
dc.date.accessioned2018-03-29T05:55:42Z
dc.date.available2018-03-29T05:55:42Z
dc.identifierQuantum Information Processing. Springer, v. 15, p. 4501 - 4520, 2016.
dc.identifier1570-0755
dc.identifier1573-1332
dc.identifierWOS:000386777400008
dc.identifier10.1007/s11128-016-1409-6
dc.identifierhttps://link.springer.com/article/10.1007/s11128-016-1409-6
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/328010
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1365035
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionWe analyze the multifractality in the fidelity sequences of several engineered Toffoli gates. Using quantum control methods, we consider several optimization problems whose global solutions realize the gate in a chain of three qubits with XY Heisenberg interaction. Applying a minimum number of control pulses assuring a fidelity above 99 % in the ideal case, we design stable gates that are less sensitive to variations in the interqubits couplings. The most stable gate has the fidelity above 91 % with variations about 0.1 %, for up to 10 % variation in the nominal couplings. We perturb the system by introducing a single source of 1/f noise that affects all the couplings. In order to quantify the performance of the proposed optimized gates, we calculate the fidelity of a large set of optimized gates under prescribed levels of coupling perturbation. Then, we run multifractal analysis on the sequence of attained fidelities. This way, gate performance can be assessed beyond mere average results, since the chosen multifractality measure (the width of the multifractal spectrum) encapsulates into a single performance indicator the spread of fidelity values around the mean and the presence of outliers. The higher the value of the performance indicator the more concentrated around the mean the fidelity values are and rarer is the occurrence of outliers. The results of the multifractal analysis on the fidelity sequences demonstrate the effectiveness of the proposed optimized gate implementations, in the sense they are rendered less sensitive to variations in the interqubits coupling strengths.
dc.description15
dc.description11
dc.description4501
dc.description4520
dc.descriptionBrazilian National Council for Scientific and Technological Development (CNPq) [PCI-DB 302866/2014-0, PDJ 165941/2014-6, 475566/2012-2]
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.languageEnglish
dc.publisherSpringer
dc.publisherNew York
dc.relationQuantum Information Processing
dc.rightsfechado
dc.sourceWOS
dc.subjectQuantum Computation
dc.subjectQuantum Control
dc.subjectTime Series Analysis
dc.titleMultifractality In Fidelity Sequences Of Optimized Toffoli Gates
dc.typeArtículos de revistas


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