Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Bal, Matthias"'
Autor:
Barratt, Fergus, Dborin, James, Bal, Matthias, Stojevic, Vid, Pollmann, Frank, Green, Andrew G.
Publikováno v:
npj Quantum Inf 7, 79 (2021)
Tensor networks permit computational and entanglement resources to be concentrated in interesting regions of Hilbert space. Implemented on NISQ machines they allow simulation of quantum systems that are much larger than the computational machine itse
Externí odkaz:
http://arxiv.org/abs/2003.12087
Autor:
Van Acoleyen, Karel, Hallam, Andrew, Bal, Matthias, Hauru, Markus, Haegeman, Jutho, Verstraete, Frank
Publikováno v:
Phys. Rev. B 102, 165131 (2020)
The multiscale entanglement renormalization ansatz (MERA) provides a constructive algorithm for realizing wavefunctions that are inherently scale invariant. Unlike conformally invariant partition functions however, the finite bond dimension $\chi$ of
Externí odkaz:
http://arxiv.org/abs/1912.10572
Autor:
Bal, Matthias, Triendl, Hagen, Assmann, Mariana, Craig, Michael, Phillips, Lawrence, Frost, Jarvist Moore, Bashir, Usman, Shaker, Noor, Stojevic, Vid
Architectures for sparse hierarchical representation learning have recently been proposed for graph-structured data, but so far assume the absence of edge features in the graph. We close this gap and propose a method to pool graphs with edge features
Externí odkaz:
http://arxiv.org/abs/1908.02065
Autor:
Bal, Matthias, Williamson, Dominic J., Vanhove, Robijn, Bultinck, Nick, Haegeman, Jutho, Verstraete, Frank
Publikováno v:
Phys. Rev. Lett. 121, 177203 (2018)
We extend the concept of strange correlators, defined for symmetry-protected phases in [You et al., Phys. Rev. Lett. 112, 247202 (2014)], to topological phases of matter by taking the inner product between string-net ground states and product states.
Externí odkaz:
http://arxiv.org/abs/1801.05959
Publikováno v:
Phys. Rev. Lett. 118, 250602 (2017)
A renormalization group flow of Hamiltonians for two-dimensional classical partition functions is constructed using tensor networks. Similar to tensor network renormalization ([G. Evenbly and G. Vidal, Phys. Rev. Lett. 115, 180405 (2015)], [S. Yang,
Externí odkaz:
http://arxiv.org/abs/1703.00365
Publikováno v:
Phys. Rev. B 94, 205122 (2016)
The truncation or compression of the spectrum of Schmidt values is inherent to the matrix product state (MPS) approximation of one-dimensional quantum ground states. We provide a renormalization group picture by interpreting this compression as an ap
Externí odkaz:
http://arxiv.org/abs/1509.01522
Publikováno v:
Phys. Rev. B 92, 235150 (2015)
We discuss how to analytically obtain an -- essentially infinite -- Matrix Product State (MPS) representation of the ground state of the XY model. On the one hand this allows to illustrate how the Ornstein-Zernike form of the correlation function eme
Externí odkaz:
http://arxiv.org/abs/1411.2607
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Bal, Matthias
This dissertation contributes to the ongoing effort of understanding the origins and applications of real-space renormalization group methods in tensor network representations of classical and quantum many-body systems. First, we construct a matrix p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______330::3b3d4cf763eaa1ed98fd20009061cdf0
https://hdl.handle.net/1854/LU-8550528
https://hdl.handle.net/1854/LU-8550528