Symmetries of the Dirac quantum walk and emergence of the de Sitter group

Author:

Apadula Luca1,Bisio Alessandro2ORCID,D’Ariano Giacomo Mauro2,Perinotti Paolo2

Affiliation:

1. Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, Boltzmanngasse 3, 1090 Vienna, Austria

2. Universitá degli Studi di Pavia, Dipartimento di Fisica, QUIT Group, and INFN Gruppo IV, Sezione di Pavia, via Bassi 6, 27100 Pavia, Italy

Funder

John Templeton Foundation

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference60 articles.

1. From quantum cellular automata to quantum lattice gases

2. A. Ambainis, E. Bach, A. Nayak, A. Vishwanath, and J. Watrous, in Proceedings of 33rd annual ACM symposium on Theory of computing (ACM, 2001), pp. 37–49.

3. D. Aharonov, A. Ambainis, J. Kempe, and U. Vazirani, in Proceedings of 33rd annual ACM symposium on Theory of computing (ACM, 2001), pp. 50–59.

4. Index Theory of One Dimensional Quantum Walks and Cellular Automata

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1. Minimal quantum walk simulation of Dirac fermions in curved space-times;Quantum Studies: Mathematics and Foundations;2023-03-06

2. Quantum walks simulating non-commutative geometry in the Landau problem;Journal of Mathematical Physics;2021-06-01

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