Mapping between Morita-equivalent string-net states with a constant depth quantum circuit
- Author
- Laurens Lootens (UGent) , Bram Vancraeynest-De Cuiper (UGent) , Norbert Schuch and Frank Verstraete (UGent)
- Organization
- Project
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- QUTE (Quantum tensor networks and entanglement)
- Projected Entangled Pair States for Gauge Theories
- Entanglement scaling and criticality with tensor networks
- A tensor network perspective on the relation between topological and conformal field theory
- An entanglement perspective on generalized symmetries, dualities and anomalies
- Abstract
- We construct a constant depth quantum circuit that maps between Morita-equivalent string-net models. Due to its constant depth and unitarity, the circuit cannot alter the topological order, which demonstrates that Morita equivalent string nets are in the same phase. The circuit is constructed from an invertible bimodule category connecting the two input fusion categories of the relevant string-net models, acting as a generalized Fourier transform for fusion categories. The circuit not only acts on the ground state subspace but also acts unitarily on the full Hilbert space when supplemented with ancillas.
- Keywords
- CATEGORIES
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PhysRevB.105.085130.pdf
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8741533
- MLA
- Lootens, Laurens, et al. “Mapping between Morita-Equivalent String-Net States with a Constant Depth Quantum Circuit.” PHYSICAL REVIEW B, vol. 105, no. 8, 2022, doi:10.1103/physrevb.105.085130.
- APA
- Lootens, L., Vancraeynest-De Cuiper, B., Schuch, N., & Verstraete, F. (2022). Mapping between Morita-equivalent string-net states with a constant depth quantum circuit. PHYSICAL REVIEW B, 105(8). https://doi.org/10.1103/physrevb.105.085130
- Chicago author-date
- Lootens, Laurens, Bram Vancraeynest-De Cuiper, Norbert Schuch, and Frank Verstraete. 2022. “Mapping between Morita-Equivalent String-Net States with a Constant Depth Quantum Circuit.” PHYSICAL REVIEW B 105 (8). https://doi.org/10.1103/physrevb.105.085130.
- Chicago author-date (all authors)
- Lootens, Laurens, Bram Vancraeynest-De Cuiper, Norbert Schuch, and Frank Verstraete. 2022. “Mapping between Morita-Equivalent String-Net States with a Constant Depth Quantum Circuit.” PHYSICAL REVIEW B 105 (8). doi:10.1103/physrevb.105.085130.
- Vancouver
- 1.Lootens L, Vancraeynest-De Cuiper B, Schuch N, Verstraete F. Mapping between Morita-equivalent string-net states with a constant depth quantum circuit. PHYSICAL REVIEW B. 2022;105(8).
- IEEE
- [1]L. Lootens, B. Vancraeynest-De Cuiper, N. Schuch, and F. Verstraete, “Mapping between Morita-equivalent string-net states with a constant depth quantum circuit,” PHYSICAL REVIEW B, vol. 105, no. 8, 2022.
@article{8741533,
abstract = {{We construct a constant depth quantum circuit that maps between Morita-equivalent string-net models. Due to its constant depth and unitarity, the circuit cannot alter the topological order, which demonstrates that Morita equivalent string nets are in the same phase. The circuit is constructed from an invertible bimodule category connecting the two input fusion categories of the relevant string-net models, acting as a generalized Fourier transform for fusion categories. The circuit not only acts on the ground state subspace but also acts unitarily on the full Hilbert space when supplemented with ancillas.}},
articleno = {{085130}},
author = {{Lootens, Laurens and Vancraeynest-De Cuiper, Bram and Schuch, Norbert and Verstraete, Frank}},
issn = {{2469-9950}},
journal = {{PHYSICAL REVIEW B}},
keywords = {{CATEGORIES}},
language = {{eng}},
number = {{8}},
pages = {{12}},
title = {{Mapping between Morita-equivalent string-net states with a constant depth quantum circuit}},
url = {{http://dx.doi.org/10.1103/physrevb.105.085130}},
volume = {{105}},
year = {{2022}},
}
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