Two-Qubit Entanglement Generation through Non-Hermitian Hamiltonians Induced by Repeated Measurements on an Ancilla

Autor: Roberto Grimaudo, Antonino Messina, Alessandro Sergi, Nikolay V. Vitanov, Sergey N. Filippov
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Entropy, Vol 22, Iss 10, p 1184 (2020)
Druh dokumentu: article
ISSN: 1099-4300
DOI: 10.3390/e22101184
Popis: In contrast to classical systems, actual implementation of non-Hermitian Hamiltonian dynamics for quantum systems is a challenge because the processes of energy gain and dissipation are based on the underlying Hermitian system–environment dynamics, which are trace preserving. Recently, a scheme for engineering non-Hermitian Hamiltonians as a result of repetitive measurements on an ancillary qubit has been proposed. The induced conditional dynamics of the main system is described by the effective non-Hermitian Hamiltonian arising from the procedure. In this paper, we demonstrate the effectiveness of such a protocol by applying it to physically relevant multi-spin models, showing that the effective non-Hermitian Hamiltonian drives the system to a maximally entangled stationary state. In addition, we report a new recipe to construct a physical scenario where the quantum dynamics of a physical system represented by a given non-Hermitian Hamiltonian model may be simulated. The physical implications and the broad scope potential applications of such a scheme are highlighted.
Databáze: Directory of Open Access Journals
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