Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Tyler D. Ellison"'
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
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:
Quantum, Vol 5, p 612 (2021)
We introduce the concepts of a symmetry-protected sign problem and symmetry-protected magic to study the complexity of symmetry-protected topological (SPT) phases of matter. In particular, we say a state has a symmetry-protected sign problem or symme
Externí odkaz:
https://doaj.org/article/7e0deeed90f34905895d188661326a6c
Publikováno v:
Physical Review Research, Vol 3, Iss 1, p 013056 (2021)
We build exactly solvable lattice Hamiltonians for fermionic symmetry-protected topological (SPT) phases in (3+1)D classified by group supercohomology. A central benefit of our construction is that it produces an explicit finite-depth quantum circuit
Externí odkaz:
https://doaj.org/article/af4c0fcafe5f41e9bed9e1ef106ef29a
Autor:
Tyler D. Ellison, Lukasz Fidkowski
Publikováno v:
Physical Review X, Vol 9, Iss 1, p 011016 (2019)
We construct fixed point lattice models for group supercohomology symmetry-protected topological phases of fermions (2+1)D. A key feature of our approach is to construct finite depth circuits of local unitaries that explicitly build the ground states
Externí odkaz:
https://doaj.org/article/fe0dbfe7a09a4da99e466788a66b86e4
Publikováno v:
Physical Review B. 101
We present a 2D bosonization duality using the language of tensor networks. Specifically, we construct a tensor network operator (TNO) that implements an exact 2D bosonization duality. The primary benefit of the TNO is that it allows for bosonization
Publikováno v:
Applied and environmental microbiology. 82(2)
The production of fuels or chemicals from lignocellulose currently requires thermochemical pretreatment to release fermentable sugars. These harsh conditions also generate numerous small-molecule inhibitors of microbial growth and fermentation, limit
Publikováno v:
The FASEB Journal. 29
The Department of Energy has expressed considerable interest in the production of biofuels from lignocellulose. Lignocellulose represents the largest terrestrial carbon source on Earth, but cannot ...