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  Error suppression in adiabatic quantum computing with qubit ensembles

Mohseni, N., Narozniak, M., Pyrkov, A. N., Ivannikov, V., & Dowling, J. P. (2021). Error suppression in adiabatic quantum computing with qubit ensembles. npj Quantum Information, 7(71). doi:10.1038/s41534-021-00405-2.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0005-16BF-C Version Permalink: https://hdl.handle.net/21.11116/0000-0008-9270-4
Genre: Journal Article

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Mohseni, Naeimeh1, 2, 3, Author
Narozniak, Marek4, 5, Author
Pyrkov, Alexey N6, Author
Ivannikov, Valentin1, 4, Author
Dowling, Jonathan P7, Author
Affiliations:
1State Key Laboratory of Precision Spectroscopy, School of Physical and Material Sciences,East China Normal University, Shanghai 200062, China, ou_persistent22              
2Marquardt Division, Max Planck Institute for the Science of Light, Max Planck Society, Staudtstraße 2, 91058 Erlangen, DE, ou_2421700              
3Department of Physics, Institute for Advanced Studies in Basic Sciences(IASBS), Zanjan 45137-66731, Iran, ou_persistent22              
4New York University Shanghai, 1555 Century Ave, Pudong, Shanghai 200122, China, ou_persistent22              
5Department of Physics, New York University, , New York, NY 10003, USA, ou_persistent22              
6Institute of Problems of Chemical Physics RAS , Acad. Semenov av., 1, Chernogolovka, 142432, Russia, ou_persistent22              
7Hearne Institute for Theoretical Physics, Department of Physics and Astronomy, Louisiana State University, aton Rouge, Louisiana 70803,USA, ou_persistent22              

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 Abstract: Incorporating protection against quantum errors into adiabatic quantum computing (AQC) is an important task due to the inevitable presence of decoherence. Here, we investigate an error-protected encoding of the AQC Hamiltonian, where qubit ensembles are used in place of qubits. Our Hamiltonian only involves total spin operators of the ensembles, offering a simpler route towards error-corrected quantum computing. Our scheme is particularly suited to neutral atomic gases where it is possible to realize large ensemble sizes and produce ensemble-ensemble entanglement. We identify a critical ensemble size Nc where the nature of the first excited state becomes a single particle perturbation of the ground state, and the gap energy is predictable by mean-field theory. For ensemble sizes larger than Nc, the ground state becomes protected due to the presence of logically equivalent states and the AQC performance improves with N, as long as the decoherence rate is sufficiently low.

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 Dates: 2021-05-10
 Publication Status: Published online
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 Identifiers: DOI: 10.1038/s41534-021-00405-2
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Title: npj Quantum Information
Source Genre: Journal
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Pages: - Volume / Issue: 7 (71) Sequence Number: - Start / End Page: - Identifier: -