Journal Article

FZJ-2025-00937

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Deciding finiteness of bosonic dynamics with tunable interactions

Bruschi, D. E. (Corresponding author)FZJ* ; Xuereb, A. ; Zeier, R.FZJ*

2025
IOP Publishing Bristol

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Please use a persistent id in citations: doi:10.1088/1751-8121/ad91fc  doi:10.34734/FZJ-2025-00937

Abstract: We are motivated by factorization of bosonic quantum dynamics and we study the corresponding Lie algebras, which can potentially be infinite dimensional. To characterize such factorization, we identify conditions for these Lie algebras to be finite dimensional. We consider cases where each free Hamiltonian term is itself an element of the generated Lie algebra. In our approach, we develop new tools to systematically divide skew-hermitian bosonic operators into appropriate subspaces, and construct specific sequences of skew-hermitian operators that are used to gauge the dimensionality of the Lie algebras themselves. The significance of our result relies on conditions that constrain only the independently controlled generators in a particular Hamiltonian, thereby providing an effective algorithm for verifying the finiteness of the generated Lie algebra. In addition, our results are tightly connected to mathematical work where the polynomials of creation and annihilation operators are known as the Weyl algebra. Our work paves the way for better understanding factorization of bosonic dynamics relevant to quantum control and quantum technology.

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Contributing Institute(s):

1. Quantum Computing Analytics (PGI-12)
2. Quantum Control (PGI-8)

Research Program(s):

1. 5214 - Quantum State Preparation and Control (POF4-521) (POF4-521)
2. Verbundprojekt: German Quantum Computer based on Superconducting Qubits (GEQCOS) - Teilvorhaben: Charakterisierung, Kontrolle und Auslese (13N15685) (13N15685)
3. 5221 - Advanced Solid-State Qubits and Qubit Systems (POF4-522) (POF4-522)
4. BMBF 13N16210 - SPINNING – Spin-Photon-basierter Quantencomputer auf Diamantbasis (BMBF-13N16210) (BMBF-13N16210)
5. PASQuanS2.1 - Programmable Atomic Large-scale Quantum Simulation 2 - SGA1 (101113690) (101113690)

Appears in the scientific report 2024

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Database coverage:
; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; Essential Science Indicators ; IF < 5 ; JCR ; National-Konsortium ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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