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Near-unit efficiency of chiral state conversion via hybrid-Liouvillian dynamics

Kumar, Parveen; Snizhko, Kyrylo; Gefen, Yuval

Abstract:

Following the evolution under a non-Hermitian Hamiltonian (nHH) involves significant probability loss. This makes various nHH effects impractical in the quantum realm. In contrast, Lindbladian evolution conserves probability, facilitating observation and application of exotic effects characteristic of open quantum systems. Here we are concerned with the effect of chiral state conversion: encircling an exceptional point, multiple system states are converted into a single system eigenmode. While for nHH the possible converted-into eigenmodes are pure states, for Lindbladians these are typically mixed states. We consider hybrid-Liouvillian evolution, which interpolates between a Lindbladian and a nHH and enables combining the best of the two worlds. We design adiabatic evolution protocols that give rise to chiral state conversion with pure final states, no probability loss, and high fidelity. Furthermore, extending beyond continuous adiabatic evolution, we design a protocol that facilitates conversion to pure states with fidelity 1 and, at the same time, no probability loss. Employing recently developed experimental techniques, our proposal can be implemented with superconducting qubit platforms.


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Originalveröffentlichung
DOI: 10.1103/PhysRevA.104.L050405
Scopus
Zitationen: 5
Web of Science
Zitationen: 5
Dimensions
Zitationen: 9
Zugehörige Institution(en) am KIT Institut für QuantenMaterialien und Technologien (IQMT)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2021
Sprache Englisch
Identifikator ISSN: 2469-9926, 2469-9934
KITopen-ID: 1000141041
HGF-Programm 47.12.01 (POF IV, LK 01) Advanced Solid-State Qubits and Qubit Systems
Erschienen in Physical review / A
Verlag American Physical Society (APS)
Band 104
Heft 5
Seiten Art.Nr. L050405
Vorab online veröffentlicht am 29.11.2021
Nachgewiesen in Dimensions
Web of Science
Scopus
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