arXiv Open Access 2023

Classification of unitary operators by local generatability

Xu Liu Adrian B. Culver Fenner Harper Rahul Roy

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Abstrak

Periodically driven (Floquet) systems can exhibit possibilities beyond what can be obtained in equilibrium. Both in Floquet systems and in the related problems of discrete-time quantum walks and quantum cellular automata, a basic distinction arises among unitary time evolution operators: while all physical operators are local, not all are locally generated (i.e., generated by some local Hamiltonian). In this paper, we define the notion of equivalence up to a locally generated unitary in all Altland-Zirnbauer symmetry classes. We then classify noninteracting unitaries in all dimensions on this basis by showing that equivalence up to a locally generated unitary is identical to homotopy equivalence.

Topik & Kata Kunci

cond-mat.mes-hall cond-mat.quant-gas cond-mat.str-el quant-ph

Penulis (4)

Xu Liu

Adrian B. Culver

Fenner Harper

Rahul Roy

Format Sitasi

APA MLA BibTeX

Liu, X., Culver, A.B., Harper, F., Roy, R. (2023). Classification of unitary operators by local generatability. https://arxiv.org/abs/2308.02728

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓