Zobrazeno 1 - 10
of 115
pro vyhledávání: '"David Pérez-García"'
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 8, Pp 1-40 (2024)
Abstract We investigate the link between quantum position-verification (QPV) and holography established in [1] using holographic quantum error correcting codes as toy models. By inserting the “temporal” scaling of the AdS metric by hand via the b
Externí odkaz:
https://doaj.org/article/b06388a9278c4e17a45fad7cced6cf4a
Autor:
Alejandro Pozas-Kerstjens, Senaida Hernández-Santana, José Ramón Pareja Monturiol, Marco Castrillón López, Giannicola Scarpa, Carlos E. González-Guillén, David Pérez-García
Publikováno v:
Quantum, Vol 8, p 1425 (2024)
Tensor networks, widely used for providing efficient representations of low-energy states of local quantum many-body systems, have been recently proposed as machine learning architectures which could present advantages with respect to traditional one
Externí odkaz:
https://doaj.org/article/76ed914cf6b04cd08007d3528dd28bb2
Publikováno v:
Quantum, Vol 8, p 1364 (2024)
Tensor networks are factorizations of high-dimensional tensors into networks of smaller tensors. They have applications in physics and mathematics, and recently have been proposed as promising machine learning architectures. To ease the integration o
Externí odkaz:
https://doaj.org/article/0b306832d04741a3a3a0d6e226f4d987
Publikováno v:
Quantum, Vol 8, p 1271 (2024)
We uncover a novel dynamical quantum phase transition, using random matrix theory and its associated notion of planar limit. We study it for the isotropic XY Heisenberg spin chain. For this, we probe its real-time dynamics through the Loschmidt echo.
Externí odkaz:
https://doaj.org/article/5b7f9af382784164b5c84865c9d12589
Publikováno v:
Forum of Mathematics, Sigma, Vol 11 (2023)
We show that every ergodic Davies generator associated to any 2D Kitaev’s quantum double model has a nonvanishing spectral gap in the thermodynamic limit. This validates rigorously the extended belief that those models are useless as self-correctin
Externí odkaz:
https://doaj.org/article/8575d91eb72c4ff8bee946edff9de581
Autor:
David Elkouss, David Pérez-García
Publikováno v:
Nature Communications, Vol 9, Iss 1, Pp 1-5 (2018)
In information theory one is interested in how much information can be reliably sent over noisy communication channels. Here the authors show that for channels with memory the optimal rate of information transmission is uncomputable.
Externí odkaz:
https://doaj.org/article/7a9b07e0596846feaa14db5c548b1ea6
Autor:
Andrea Coser, David Pérez-García
Publikováno v:
Quantum, Vol 3, p 174 (2019)
We propose the following definition of topological quantum phases valid for mixed states: two states are in the same phase if there exists a time independent, fast and local Lindbladian evolution driving one state into the other. The underlying idea,
Externí odkaz:
https://doaj.org/article/b1a0be412a9640f1ad6940ff2642f405
Publikováno v:
New Journal of Physics, Vol 20, Iss 11, p 113017 (2018)
Tensor networks (TNs) are generated by a set of small rank tensors and define many-body quantum states in a succinct form. The corresponding map is not one-to-one: different sets of tensors may generate the very same state. A fundamental question in
Externí odkaz:
https://doaj.org/article/c3cd5e8063784faf93fe5e51ebfc0b00
Autor:
David Pérez-García, Miguel Tierz
Publikováno v:
Physical Review X, Vol 4, Iss 2, p 021050 (2014)
By using random matrix models, we uncover a connection between the low-energy sector of four-dimensional QCD at finite volume and the Heisenberg XX model in a 1D spin chain. This connection allows us to relate crucial properties of QCD with physicall
Externí odkaz:
https://doaj.org/article/d5382bfc7d984fccb532269b6db7ec58
Publikováno v:
New Journal of Physics, Vol 15, Iss 12, p 123021 (2013)
We analyze the description of quantum many-body mixed states using matrix product states and operators. We consider two such descriptions: (i) as a matrix product density operator of bond dimension D ; and (ii) as a purification that is written as a
Externí odkaz:
https://doaj.org/article/4c608e13abea4135a8a7814759138f6b