Unitary quantum perceptron as efficient universal approximator (a)

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dc.contributor.author Torrontegui Muñoz, Erik
dc.contributor.author García-Ripoll, Juan José
dc.date.accessioned 2021-04-09T09:17:47Z
dc.date.available 2021-04-09T09:17:47Z
dc.date.issued 2019-03-04
dc.identifier.bibliographicCitation Torrontegui, E. & García-Ripoll, J. J. (2019). Unitary quantum perceptron as efficient universal approximator. EPL (Europhysics Letters), 125(3), 30004.
dc.identifier.issn 0295-5075
dc.identifier.uri http://hdl.handle.net/10016/32320
dc.description.abstract We demonstrate that it is possible to implement a quantum perceptron with a sigmoid activation function as an efficient, reversible many-body unitary operation. When inserted in a neural network, the perceptron's response is parameterized by the potential exerted by other neurons. We prove that such a quantum neural network is a universal approximator of continuous functions, with at least the same power as classical neural networks. While engineering general perceptrons is a challenging control problem —also defined in this work— the ubiquitous sigmoid-response neuron can be implemented as a quasi-adiabatic passage with an Ising model. In this construct, the scaling of resources is favorable with respect to the total network size and is dominated by the number of layers. We expect that our sigmoid perceptron will have applications also in quantum sensing or variational estimation of many-body Hamiltonians.
dc.format.extent 5
dc.language.iso eng
dc.publisher IOP Science
dc.rights © by the authors, 2019
dc.title Unitary quantum perceptron as efficient universal approximator (a)
dc.type article
dc.subject.eciencia Física
dc.identifier.doi https://doi.org/10.1209/0295-5075/125/30004
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. FIS2015-70856-P
dc.relation.projectID Comunidad de Madrid. S2013-ICE2801
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 30004-p1
dc.identifier.publicationlastpage 30004-p5
dc.identifier.publicationtitle EPL (Europhysics Letters)
dc.identifier.publicationvolume 125
dc.identifier.uxxi AR/0000026550
dc.contributor.funder Ministerio de Economía y Competitividad (España)
dc.contributor.funder Comunidad de Madrid
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