Engineering Dissipation with Resistive Elements in Circuit Quantum Electrodynamics

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A2 Katsausartikkeli tieteellisessä aikakauslehdessä

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2021-11

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en

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Advanced Quantum Technologies

Abstract

The importance of dissipation engineering ranges from universal quantum computation to non-equilibrium quantum thermodynamics. In recent years, more and more theoretical and experimental studies have shown the relevance of this topic for circuit quantum electrodynamics, one of the major platforms in the race for a quantum computer. This article discusses how to simulate thermal baths by inserting resistive elements in networks of superconducting qubits. Apart from pedagogically reviewing the phenomenological and microscopic models of a resistor as thermal bath with Johnson–Nyquist noise, the paper introduces some new results in the weak coupling limit, showing that the most common examples of open quantum systems can be simulated through capacitively coupled superconducting qubits and resistors. The aim of the manuscript, written with a broad audience in mind, is to be both an instructive tutorial about how to derive and characterize the Hamiltonian of general dissipative superconducting circuits with capacitive coupling, and a review of the most relevant and topical theoretical and experimental works focused on resistive elements and dissipation engineering.

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Funding Information: The authors acknowledge discussions with Jukka Pekola, Sabrina Maniscalco and Roberta Zambrini. M.C. would like to thank Adrián Parra‐Rodriguez and Íñigo Luis Egusquiza for valuable clarifications and extensive discussions on the derivation of the circuit Hamiltonian. He would also like to thank Lorenzo Gavassino for useful suggestions, as well as Antti Vaaranta for a careful reading of the manuscript and for spotting some typos. M.C. acknowledges funding from the Finnish Center of Excellence in Quantum Technology QTF (projects 312296, 336810), from the María de Maeztu Program for Units of Excellence in R&D (MDM‐ 2017‐0711), and from Fondazione Angelo della Riccia. G.S.P. would like to acknowledge support from the RADDESS programme (Project No. 328193) of the Academy of Finland and from the Grant No. FQXi‐IAF19‐06 (“Exploring the fundamental limits set by thermodynamics in the quantum regime”) of the Foundational Questions Institute Fund (FQXi), a donor advised fund of the Silicon ValleyCommunity Foundation. Publisher Copyright: © 2021 The Authors. Advanced Quantum Technologies published by Wiley-VCH GmbH

Keywords

circuit quantum electrodynamics, dissipation engineering, open quantum systems, quantum Johnson-Nyquist noise, resistive elements

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Citation

Cattaneo, M & Paraoanu, G S 2021, ' Engineering Dissipation with Resistive Elements in Circuit Quantum Electrodynamics ', Advanced Quantum Technologies, vol. 4, no. 11, 2100054 . https://doi.org/10.1002/qute.202100054