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

Grimaudo, Roberto; Messina, Antonino; Sergi, Alessandro; Vitanov, Nikolay V.; Filippov, Sergey N.

doi:10.3390/e22101184

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

by

Roberto Grimaudo

^1,*,†

,

Antonino Messina

^2,†,

Alessandro Sergi

^3,4,5,†

,

Nikolay V. Vitanov

^6,†

and

Sergey N. Filippov

^7,†

¹

Dipartimento di Fisica e Chimica dell’Università di Palermo, Via Archirafi 36, I-90123 Palermo, Italy

²

Dipartimento di Matematica ed Informatica dell’Università di Palermo, Via Archirafi 34, I-90123 Palermo, Italy

³

Istituto Nazionale di Fisica Nucleare, Sez. di Catania, 95123 Catania, Italy

⁴

Dipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e Scienze della Terra, Università degli Studi di Messina, viale F. Stagno d’Alcontres 31, 98166 Messina, Italy

⁵

Institute of Systems Science, Durban University of Technology, P. O. Box 1334, Durban 4000, South Africa

⁶

Department of Physics, St. Kliment Ohridski University of Sofia, 5 James Bourchier Boulevard, 1164 Sofia, Bulgaria

⁷

Steklov Mathematical Institute of Russian Academy of Sciences, Gubkina St. 8, Moscow 119991, Russia

^*

Author to whom correspondence should be addressed.

^†

These authors contributed equally to this work.

Entropy 2020, 22(10), 1184; https://doi.org/10.3390/e22101184

Submission received: 23 September 2020 / Revised: 12 October 2020 / Accepted: 15 October 2020 / Published: 20 October 2020

(This article belongs to the Special Issue Quantum Dynamics with Non-Hermitian Hamiltonians)

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Abstract

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.

Keywords: entanglement generation; zeno effect; non-Hermitian Hamiltonians

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MDPI and ACS Style

Grimaudo, R.; Messina, A.; Sergi, A.; Vitanov, N.V.; Filippov, S.N. Two-Qubit Entanglement Generation through Non-Hermitian Hamiltonians Induced by Repeated Measurements on an Ancilla. Entropy 2020, 22, 1184. https://doi.org/10.3390/e22101184

AMA Style

Grimaudo R, Messina A, Sergi A, Vitanov NV, Filippov SN. Two-Qubit Entanglement Generation through Non-Hermitian Hamiltonians Induced by Repeated Measurements on an Ancilla. Entropy. 2020; 22(10):1184. https://doi.org/10.3390/e22101184

Chicago/Turabian Style

Grimaudo, Roberto, Antonino Messina, Alessandro Sergi, Nikolay V. Vitanov, and Sergey N. Filippov. 2020. "Two-Qubit Entanglement Generation through Non-Hermitian Hamiltonians Induced by Repeated Measurements on an Ancilla" Entropy 22, no. 10: 1184. https://doi.org/10.3390/e22101184

APA Style

Grimaudo, R., Messina, A., Sergi, A., Vitanov, N. V., & Filippov, S. N. (2020). Two-Qubit Entanglement Generation through Non-Hermitian Hamiltonians Induced by Repeated Measurements on an Ancilla. Entropy, 22(10), 1184. https://doi.org/10.3390/e22101184

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

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