Stojanovic, Vladimir M. ; Nauth, Julian (2022)
Interconversion of W and Greenberger-Horne-Zeilinger states
for Ising-coupled qubits with transverse global control.
In: Physical Review A, 106 (5)
doi: 10.1103/PhysRevA.106.052613
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
Interconversions of W and Greenberger-Horne-Zeilinger states in various physical systems have recently been attracting considerable attention. We address this problem in the fairly general physical setting of qubit arrays with long-ranged (all-to-all) Ising-type qubit-qubit interaction, which are simultaneously acted upon by transverse Zeeman-type global control fields. Motivated in part by a recent Lie-algebraic result that implies state-to-state controllability of such a system for an arbitrary pair of states that are invariant with respect to qubit permutations, we present a detailed investigation of the state-interconversion problem in the three-qubit case. The envisioned interconversion protocol has the form of a pulse sequence that consists of two instantaneous (δ-shaped) control pulses, each of them corresponding to a global qubit rotation, and an Ising-interaction pulse of finite duration between them. Its construction relies heavily on the use of the (four-dimensional) permutation-invariant subspace (symmetric sector) of the three-qubit Hilbert space. In order to demonstrate the viability of the proposed state-interconversion scheme, we provide a detailed analysis of the robustness of the underlying pulse sequence to systematic errors, i.e., deviations from the optimal values of its five characteristic parameters.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2022 |
| Autor(en): | Stojanovic, Vladimir M. ; Nauth, Julian |
| Art des Eintrags: | Bibliographie |
| Titel: | Interconversion of W and Greenberger-Horne-Zeilinger states for Ising-coupled qubits with transverse global control |
| Sprache: | Englisch |
| Publikationsjahr: | 30 November 2022 |
| Verlag: | APS Physics |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Physical Review A |
| Jahrgang/Volume einer Zeitschrift: | 106 |
| (Heft-)Nummer: | 5 |
| DOI: | 10.1103/PhysRevA.106.052613 |
| Zugehörige Links: | |
| Kurzbeschreibung (Abstract): | Interconversions of W and Greenberger-Horne-Zeilinger states in various physical systems have recently been attracting considerable attention. We address this problem in the fairly general physical setting of qubit arrays with long-ranged (all-to-all) Ising-type qubit-qubit interaction, which are simultaneously acted upon by transverse Zeeman-type global control fields. Motivated in part by a recent Lie-algebraic result that implies state-to-state controllability of such a system for an arbitrary pair of states that are invariant with respect to qubit permutations, we present a detailed investigation of the state-interconversion problem in the three-qubit case. The envisioned interconversion protocol has the form of a pulse sequence that consists of two instantaneous (δ-shaped) control pulses, each of them corresponding to a global qubit rotation, and an Ising-interaction pulse of finite duration between them. Its construction relies heavily on the use of the (four-dimensional) permutation-invariant subspace (symmetric sector) of the three-qubit Hilbert space. In order to demonstrate the viability of the proposed state-interconversion scheme, we provide a detailed analysis of the robustness of the underlying pulse sequence to systematic errors, i.e., deviations from the optimal values of its five characteristic parameters. |
| Fachbereich(e)/-gebiet(e): | 05 Fachbereich Physik 05 Fachbereich Physik > Institut für Angewandte Physik 05 Fachbereich Physik > Institut für Angewandte Physik > Theoretische Quantenphysik |
| Hinterlegungsdatum: | 05 Dez 2022 09:03 |
| Letzte Änderung: | 15 Aug 2023 09:33 |
| PPN: | 510635415 |
| Zugehörige Links: | |
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