Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Arpit Dua"'
Publikováno v:
PRX Quantum, Vol 5, Iss 1, p 010304 (2024)
Whether a given target state can be prepared by starting with a simple product state and acting with a finite-depth quantum circuit is a key question in condensed matter physics and quantum information science. It underpins classifications of topolog
Externí odkaz:
https://doaj.org/article/3e89498da1df493a8c86865b9ec16e01
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:
Quantum, Vol 7, p 1122 (2023)
Recently, a class of fractal surface codes (FSCs), has been constructed on fractal lattices with Hausdorff dimension $2+\epsilon$, which admits a fault-tolerant non-Clifford CCZ gate \cite{zhu2021topological}. We investigate the performance of such F
Externí odkaz:
https://doaj.org/article/eba02fb523f64ce49dcb9e9c84f8d59a
Publikováno v:
PRX Quantum, Vol 4, Iss 3, p 030338 (2023)
Tailored topological stabilizer codes in two dimensions have been shown to exhibit high-storage-threshold error rates and improved subthreshold performance under biased Pauli noise. Three-dimensional (3D) topological codes can allow for several advan
Externí odkaz:
https://doaj.org/article/65f7f655cb774579ae5aa13468994223
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
Publikováno v:
PRX Quantum, Vol 3, Iss 3, p 030338 (2022)
We investigate topological order on fractal geometries embedded in n dimensions. We consider the n-dimensional lattice with holes at all length scales the corresponding fractal (Hausdorff) dimension of which is D_{H}=n−δ. In particular, we diagnos
Externí odkaz:
https://doaj.org/article/641357249b08454cb3673efdc0b953d1
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 3, Iss 2, p 023123 (2021)
In three dimensions, gapped phases can support “fractonic” quasiparticle excitations, which are either completely immobile or can only move within a low-dimensional submanifold, a peculiar topological phenomenon going beyond the conventional fram
Externí odkaz:
https://doaj.org/article/3dcf3c6e6bea40a78eb2d0f9639c1c7d
Publikováno v:
Physical Review Research, Vol 2, Iss 3, p 033331 (2020)
We introduce a model of three-dimensional (3D) topological order enriched by planar subsystem symmetries. The model is constructed starting from the 3D toric code, whose ground state can be viewed as an equal-weight superposition of two-dimensional (
Externí odkaz:
https://doaj.org/article/ed182818e3ef4e53b86397453b3dd770