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dc.contributor.author
Vallejos, Raúl O.
dc.contributor.author
De Melo, Fernando
dc.contributor.author
Carlo, Gabriel Gustavo
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dc.date.available
2022-03-17T04:02:40Z
dc.date.issued
2021-07
dc.identifier.citation
Vallejos, Raúl O.; De Melo, Fernando; Carlo, Gabriel Gustavo; Principle of majorization: Application to random quantum circuits; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 104; 1; 7-2021; 1-8
dc.identifier.issn
2469-9926
dc.identifier.uri
http://hdl.handle.net/11336/153485
dc.description.abstract
We test the principle of majorization [J. I. Latorre and M. A. Martín-Delgado, Phys. Rev. A 66, 022305 (2002)] in random circuits. Three classes of circuits were considered: (i) universal, (ii) classically simulatable, and (iii) neither universal nor classically simulatable. The studied families are: {CNOT, H, T}, {CNOT, H, NOT}, {CNOT, H, S} (Clifford), matchgates, and IQP (instantaneous quantum polynomial-time). We verified that all the families of circuits satisfy on average the principle of decreasing majorization. In most cases the asymptotic state (number of gates → ∞) behaves like a random vector. However, clear differences appear in the fluctuations of the Lorenz curves associated to asymptotic states. The fluctuations of the Lorenz curves discriminate between universal and non-universal classes of random quantum circuits, and they also detect the complexity of some non-universal but not classically efficiently simulatable quantum random circuits. We conclude that majorization can be used as a indicator of complexity of quantum dynamics, as an alternative to, e.g., entanglement spectrum and out-of-time-order correlators (OTOCs).
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Majorization
dc.subject
Quantum computation
dc.subject
Quantum complexity
dc.subject.classification
Otras Ciencias Físicas
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Principle of majorization: Application to random quantum circuits
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2022-03-14T21:05:11Z
dc.identifier.eissn
2469-9934
dc.journal.volume
104
dc.journal.number
1
dc.journal.pagination
1-8
dc.journal.pais
Estados Unidos
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dc.description.fil
Fil: Vallejos, Raúl O.. Centro Brasileiro de Pesquisas Físicas; Brasil
dc.description.fil
Fil: De Melo, Fernando. Centro Brasileiro de Pesquisas Físicas; Brasil
dc.description.fil
Fil: Carlo, Gabriel Gustavo. Comisión Nacional de Energía Atómica. Gerencia de Área Investigaciones y Aplicaciones No Nucleares. Gerencia Física (CAC). Departamento de Física de la Materia Condensada; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
Physical Review A: Atomic, Molecular and Optical Physics
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.104.012602
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1103/PhysRevA.104.012602
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2102.09999
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