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  Analytic Design of Accelerated Adiabatic Gates in Realistic Qubits: General Theory and Applications to Superconducting Circuits

Setiawan, F., Groszkowski, P., Ribeiro, H., & Clerk, A. A. (2021). Analytic Design of Accelerated Adiabatic Gates in Realistic Qubits: General Theory and Applications to Superconducting Circuits. PRX Quantum, 2(3): 030306. doi:10.1103/PRXQuantum.2.030306.

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 Creators:
Setiawan, F1, Author
Groszkowski, Peter1, Author
Ribeiro, Hugo2, Author           
Clerk, Aashish A1, Author
Affiliations:
1Pritzker School of Molecular Engineering, University of Chicago, 5640 South Ellis Avenue, Chicago, Illinois 60637, USA, ou_persistent22              
2Marquardt Division, Max Planck Institute for the Science of Light, Max Planck Society, ou_2421700              

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 Abstract: Shortcuts to adiabaticity (STA) is a general methodology for speeding up adiabatic quantumprotocols, and has many potential applications in quantum information processing. Unfortunately,analytically constructing STAs for systems having complex interactions and more than a few levelsis a challenging task. This is usually overcome by assuming an idealized Hamiltonian (e.g., only alimited subset of energy levels are retained, and the rotating-wave approximation (RWA) is made).Here, we develop ananalyticapproach that allows one to go beyond these limitations. Our methodis general and results in analytically-derived pulse shapes that correct both non-adiabatic errorsas well as non-RWA errors. We also show that our approach can yield pulses requiring a smallerdriving power than conventional non-adiabatic protocols. We show in detail how our ideas can beused to analytically design high-fidelity single-qubit “tripod” gates in a realistic superconductingfluxonium qubit.

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Language(s): eng - English
 Dates: 2021-07-09
 Publication Status: Published online
 Pages: -
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 Table of Contents: -
 Rev. Type: -
 Identifiers: DOI: 10.1103/PRXQuantum.2.030306
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Title: PRX Quantum
Source Genre: Journal
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Publ. Info: American Physical Society
Pages: - Volume / Issue: 2 (3) Sequence Number: 030306 Start / End Page: - Identifier: -