| Issue |
EPJ Web Conf.
Volume 226, 2020
Mathematical Modeling and Computational Physics 2019 (MMCP 2019)
|
|
|---|---|---|
| Article Number | 02022 | |
| Number of page(s) | 4 | |
| Section | Mathematical Modeling, Numerical Methods, and Simulation | |
| DOI | https://doi.org/10.1051/epjconf/202022602022 | |
| Published online | 20 January 2020 | |
https://doi.org/10.1051/epjconf/202022602022
A Geometric View on Quantum Tensor Networks
Faculty of Mathematics, Tver State University,
Sadovyi per. 35,
170002
Tver,
Russia
★ e-mail: tsirulev.an@tversu.ru
Published online: 20 January 2020
Tensor network states and algorithms play a key role in understanding the structure of complex quantum systems and their entanglement properties. This report is devoted to the problem of the construction of an arbitrary quantum state using the differential geometric scheme of covariant series in Riemann normal coordinates. The building blocks of the scheme are polynomials in the Pauli operators with the coefficients specified by the curvature, torsion, and their covariant derivatives on some base manifold. The problem of measuring the entanglement of multipartite mixed states is shortly discussed.
© The Authors, published by EDP Sciences, 2020
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