Singly-excited resonant open quantum system Tavis-Cummings model with quantum circuit mapping

Abstract Tavis-Cummings (TC) cavity quantum electrodynamical effects, describing the interaction of N atoms with an optical resonator, are at the core of atomic, optical and solid state physics. The full numerical simulation of TC dynamics scales exponentially with the number of atoms. By restrictin...

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Main Authors: Marina Krstic Marinkovic, Marina Radulaski
Format: Article
Language:English
Published: Nature Portfolio 2023-11-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-023-46138-4
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author Marina Krstic Marinkovic
Marina Radulaski
author_facet Marina Krstic Marinkovic
Marina Radulaski
author_sort Marina Krstic Marinkovic
collection DOAJ
description Abstract Tavis-Cummings (TC) cavity quantum electrodynamical effects, describing the interaction of N atoms with an optical resonator, are at the core of atomic, optical and solid state physics. The full numerical simulation of TC dynamics scales exponentially with the number of atoms. By restricting the open quantum system to a single excitation, typical of experimental realizations in quantum optics, we analytically solve the TC model with an arbitrary number of atoms with linear complexity. This solution allows us to devise the Quantum Mapping Algorithm of Resonator Interaction with N Atoms (Q-MARINA), an intuitive TC mapping to a quantum circuit with linear space and time scaling, whose N+1 qubits represent atoms and a lossy cavity, while the dynamics is encoded through 2N entangling gates. Finally, we benchmark the robustness of the algorithm on a quantum simulator and superconducting quantum processors against the quantum master equation solution on a classical computer.
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spelling doaj.art-42c315e2a6a5438fabec1603af6c37b72023-11-12T12:16:52ZengNature PortfolioScientific Reports2045-23222023-11-011311810.1038/s41598-023-46138-4Singly-excited resonant open quantum system Tavis-Cummings model with quantum circuit mappingMarina Krstic Marinkovic0Marina Radulaski1Institute for Theoretical Physics, ETH ZurichDepartment of Electrical and Computer Engineering, University of California, DavisAbstract Tavis-Cummings (TC) cavity quantum electrodynamical effects, describing the interaction of N atoms with an optical resonator, are at the core of atomic, optical and solid state physics. The full numerical simulation of TC dynamics scales exponentially with the number of atoms. By restricting the open quantum system to a single excitation, typical of experimental realizations in quantum optics, we analytically solve the TC model with an arbitrary number of atoms with linear complexity. This solution allows us to devise the Quantum Mapping Algorithm of Resonator Interaction with N Atoms (Q-MARINA), an intuitive TC mapping to a quantum circuit with linear space and time scaling, whose N+1 qubits represent atoms and a lossy cavity, while the dynamics is encoded through 2N entangling gates. Finally, we benchmark the robustness of the algorithm on a quantum simulator and superconducting quantum processors against the quantum master equation solution on a classical computer.https://doi.org/10.1038/s41598-023-46138-4
spellingShingle Marina Krstic Marinkovic
Marina Radulaski
Singly-excited resonant open quantum system Tavis-Cummings model with quantum circuit mapping
Scientific Reports
title Singly-excited resonant open quantum system Tavis-Cummings model with quantum circuit mapping
title_full Singly-excited resonant open quantum system Tavis-Cummings model with quantum circuit mapping
title_fullStr Singly-excited resonant open quantum system Tavis-Cummings model with quantum circuit mapping
title_full_unstemmed Singly-excited resonant open quantum system Tavis-Cummings model with quantum circuit mapping
title_short Singly-excited resonant open quantum system Tavis-Cummings model with quantum circuit mapping
title_sort singly excited resonant open quantum system tavis cummings model with quantum circuit mapping
url https://doi.org/10.1038/s41598-023-46138-4
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AT marinaradulaski singlyexcitedresonantopenquantumsystemtaviscummingsmodelwithquantumcircuitmapping