Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Wilbur Shirley"'
Publikováno v:
SciPost Physics, Vol 17, Iss 3, p 071 (2024)
Flux binding is a mechanism that is well-understood for global symmetries. Given two systems, each with a global symmetry, gauging the composite symmetry instead of individual symmetries corresponds to the condensation of the composite of gauge charg
Externí odkaz:
https://doaj.org/article/0d9b034fb41344a390e5f66f03f49330
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:
SciPost Physics, Vol 15, Iss 1, p 001 (2023)
2+1d topological phases are well characterized by the fusion rules and braiding/exchange statistics of fractional point excitations. In 4+1d, some topological phases contain only fractional loop excitations. What kind of loop statistics exist? We stu
Externí odkaz:
https://doaj.org/article/cca75ce4c3f14f5a8c69a96e9890602e
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:
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
Externí odkaz:
https://doaj.org/article/e1456c9d9a304df495a643ceb2ecf21a
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