Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Wilbur Shirley"'
Autor:
Tyler D. Ellison, Yu-An Chen, Arpit Dua, Wilbur Shirley, Nathanan Tantivasadakarn, Dominic J. Williamson
Publikováno v:
Quantum, Vol 7, p 1137 (2023)
We construct Pauli topological subsystem codes characterized by arbitrary two-dimensional Abelian anyon theories–this includes anyon theories with degenerate braiding relations and those without a gapped boundary to the vacuum. Our work both extend
Externí odkaz:
https://doaj.org/article/0b78a5bd612e4dc9a20139e60346bb9e
Publikováno v:
PRX Quantum, Vol 4, Iss 1, p 010304 (2023)
A topological defect network (TDN) is formed by a network of topological defects embedded within a topological quantum field theory (TQFT). TDNs were introduced recently for the purpose of describing fracton topological phases of matter using the fra
Externí odkaz:
https://doaj.org/article/155c16a207b141e595e1862a52915426
Autor:
Wilbur Shirley, Yu-An Chen, Arpit Dua, Tyler D. Ellison, Nathanan Tantivasadakarn, Dominic J. Williamson
Publikováno v:
PRX Quantum, Vol 3, Iss 3, p 030326 (2022)
We construct a novel three-dimensional quantum cellular automaton (QCA) based on a system with short-range entangled bulk and chiral semion boundary topological order. We argue that either the QCA is nontrivial, i.e., not a finite-depth circuit of lo
Externí odkaz:
https://doaj.org/article/482cf26464ee42aca4a279a57034f2c4
Autor:
Tyler D. Ellison, Yu-An Chen, Arpit Dua, Wilbur Shirley, Nathanan Tantivasadakarn, Dominic J. Williamson
Publikováno v:
PRX Quantum, Vol 3, Iss 1, p 010353 (2022)
We construct a Pauli stabilizer model for every two-dimensional Abelian topological order that admits a gapped boundary. Our primary example is a Pauli stabilizer model on four-dimensional qudits that belongs to the double semion (DS) phase of matter
Externí odkaz:
https://doaj.org/article/668731c1e6d5426ea3f0c622b08e8d12
Publikováno v:
Physical Review Research, Vol 2, Iss 1, p 012059 (2020)
We classify subsystem symmetry-protected topological (SSPT) phases in 3+1 dimensions (3+1D) protected by planar subsystem symmetries: short-range entangled phases which are dual to long-range entangled Abelian fracton topological orders via a general
Externí odkaz:
https://doaj.org/article/9042ab2b6d264449bd133b627f45e682
Publikováno v:
SciPost Physics, Vol 6, Iss 4, p 041 (2019)
Based on several previous examples, we summarize explicitly the general procedure to gauge models with subsystem symmetries, which are symmetries with generators that have support within a sub-manifold of the system. The gauging process can be app
Externí odkaz:
https://doaj.org/article/5e28ff4491ec42289ec7b6c56440d0e5
Publikováno v:
SciPost Physics, Vol 6, Iss 1, p 015 (2019)
Fracton models exhibit a variety of exotic properties and lie beyond the conventional framework of gapped topological order. In a previous work, we generalized the notion of gapped phase to one of foliated fracton phase by allowing the addition of
Externí odkaz:
https://doaj.org/article/c4355becec29485a8698ea00f3999957
Publikováno v:
Physical Review X, Vol 8, Iss 3, p 031051 (2018)
Fracton models, a collection of exotic gapped lattice Hamiltonians recently discovered in three spatial dimensions, contain some “topological” features: They support fractional bulk excitations (dubbed fractons) and a ground-state degeneracy that
Externí odkaz:
https://doaj.org/article/bff7eb400ebd4dd1bf6f77beadbfdc23
The Chamon model is an exactly solvable spin Hamiltonian exhibiting nontrivial fracton order. In this work, we dissect two distinct aspects of the model. First, we show that it exhibits an emergent fractonic gauge theory coupled to a fermionic subsys
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d057247dc45c4e128041a4a241ce8d67
Publikováno v:
SciPost Physics, Vol 10, Iss 4, p 094 (2021)
The X-cube model, a prototypical gapped fracton model, has been shown to have a foliation structure. That is, inside the 3+1D model, there are hidden layers of 2+1D gapped topological states. A screw dislocation in a 3+1D lattice can often reveal non
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a2d8765ec691a29653b890caf340f784
http://arxiv.org/abs/2012.07263
http://arxiv.org/abs/2012.07263