Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Kasper Duivenvoorden"'
Publikováno v:
Delft University of Technology
We analyze the performance of decoders for the 2D and 4D toric code which are local by construction. The 2D decoder is a cellular automaton decoder formulated by Harrington which explicitly has a finite speed of communication and computation. For a m
Publikováno v:
IEEE Transactions on Information Theory, 65(4)
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
We describe a computationally-efficient heuristic algorithm based on a renormalization-group procedure which aims at solving the problem of finding minimal surface given its boundary (curve) in any hypercubic lattice of dimension $D>2$. We use this a
Publikováno v:
Physical Review B. 97
We use projected entangled pair states (PEPS) to study topological quantum phase transitions. The local description of topological order in the PEPS formalism allows us to set up order parameters which measure condensation and deconfinement of anyons
Publikováno v:
Physical Review B
ResearcherID
PHYSICAL REVIEW B
ResearcherID
PHYSICAL REVIEW B
Anyon condensation forms a mechanism which allows to relate different topological phases. We study anyon condensation in the framework of Projected Entangled Pair States (PEPS) where topological order is characterized through local symmetries of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c395350f0c033fb1788392d402e90555
http://arxiv.org/abs/1702.08469
http://arxiv.org/abs/1702.08469
Publikováno v:
Physical Review A
We show that one can determine both parameters of a displacement acting on an oscillator with an accuracy which scales inversely with the square root of the number of photons in the oscillator. Our results are obtained by using a grid state as a sens
Publikováno v:
Journal of Physics A: Mathematical and Theoretical
We consider Projected Entangled Pair State (PEPS) models with a global $\mathbb Z_N$ symmetry, which are constructed from $\mathbb Z_N$-symmetric tensors and are thus $\mathbb Z_N$-invariant wavefunctions, and study the occurence of long-range order
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4168dfc8c4f7008394eca3f8c0adb265
Publikováno v:
Physical Review B
Projected Entangled Pair States (PEPS) provide a framework for the construction of models where a single tensor gives rise to both Hamiltonian and ground state wavefunction on the same footing. A key problem is to characterize the behavior which emer
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::495b4ed24e1cbba7e1d48f26e1ee4537
http://arxiv.org/abs/1505.04217
http://arxiv.org/abs/1505.04217
Autor:
Kasper Duivenvoorden, Thomas Quella
Publikováno v:
Physical Review B. 88
Focusing on the particular case of the discrete symmetry group Z_N x Z_N, we establish a mapping between symmetry protected topological phases and symmetry broken phases for one-dimensional spin systems. It is realized in terms of a non-local unitary
Autor:
Thomas Quella, Kasper Duivenvoorden
Publikováno v:
Physical Review B. 87
Symmetry protected topological phases of one-dimensional spin systems have been classified using group cohomology. In this paper, we revisit this problem for general spin chains which are invariant under a continuous on-site symmetry group G. We eval
Autor:
Kasper Duivenvoorden, Thomas Quella
Publikováno v:
Physical Review B. 86
One-dimensional gapped spin chains with symmetry $PSU(N)=SU(N)/{\mathbb{Z}}_{N}$ are known to possess $N$ different topological phases. In this paper, we introduce a nonlocal string order parameter which characterizes each of these $N$ phases unambig