Efficient and robust estimation of many-qubit Hamiltonians

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Standard

Efficient and robust estimation of many-qubit Hamiltonians. / Stilck França, Daniel; Markovich, Liubov A.; Dobrovitski, V. V.; Werner, Albert H.; Borregaard, Johannes.

I: Nature Communications, Bind 15, Nr. 1, 311, 2024.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Stilck França, D, Markovich, LA, Dobrovitski, VV, Werner, AH & Borregaard, J 2024, 'Efficient and robust estimation of many-qubit Hamiltonians', Nature Communications, bind 15, nr. 1, 311. https://doi.org/10.1038/s41467-023-44012-5

APA

Stilck França, D., Markovich, L. A., Dobrovitski, V. V., Werner, A. H., & Borregaard, J. (2024). Efficient and robust estimation of many-qubit Hamiltonians. Nature Communications, 15(1), [311]. https://doi.org/10.1038/s41467-023-44012-5

Vancouver

Stilck França D, Markovich LA, Dobrovitski VV, Werner AH, Borregaard J. Efficient and robust estimation of many-qubit Hamiltonians. Nature Communications. 2024;15(1). 311. https://doi.org/10.1038/s41467-023-44012-5

Author

Stilck França, Daniel ; Markovich, Liubov A. ; Dobrovitski, V. V. ; Werner, Albert H. ; Borregaard, Johannes. / Efficient and robust estimation of many-qubit Hamiltonians. I: Nature Communications. 2024 ; Bind 15, Nr. 1.

Bibtex

@article{c0422cfda4ff437a91d872b8ca132878,
title = "Efficient and robust estimation of many-qubit Hamiltonians",
abstract = "Characterizing the interactions and dynamics of quantum mechanical systems is an essential task in developing quantum technologies. We propose an efficient protocol based on the estimation of the time-derivatives of few qubit observables using polynomial interpolation for characterizing the underlying Hamiltonian dynamics and Markovian noise of a multi-qubit device. For finite range dynamics, our protocol exponentially relaxes the necessary time-resolution of the measurements and quadratically reduces the overall sample complexity compared to previous approaches. Furthermore, we show that our protocol can characterize the dynamics of systems with algebraically decaying interactions. The implementation of the protocol requires only the preparation of product states and single-qubit measurements. Furthermore, we improve a shadow tomography method for quantum channels that is of independent interest and discuss the robustness of the protocol to various errors. This protocol can be used to parallelize the learning of the Hamiltonian, rendering it applicable for the characterization of both current and future quantum devices. {\textcopyright} 2024, The Author(s).",
author = "{Stilck Fran{\c c}a}, Daniel and Markovich, {Liubov A.} and Dobrovitski, {V. V.} and Werner, {Albert H.} and Johannes Borregaard",
year = "2024",
doi = "10.1038/s41467-023-44012-5",
language = "English",
volume = "15",
journal = "Nature Communications",
issn = "2041-1723",
publisher = "nature publishing group",
number = "1",

}

RIS

TY - JOUR

T1 - Efficient and robust estimation of many-qubit Hamiltonians

AU - Stilck França, Daniel

AU - Markovich, Liubov A.

AU - Dobrovitski, V. V.

AU - Werner, Albert H.

AU - Borregaard, Johannes

PY - 2024

Y1 - 2024

N2 - Characterizing the interactions and dynamics of quantum mechanical systems is an essential task in developing quantum technologies. We propose an efficient protocol based on the estimation of the time-derivatives of few qubit observables using polynomial interpolation for characterizing the underlying Hamiltonian dynamics and Markovian noise of a multi-qubit device. For finite range dynamics, our protocol exponentially relaxes the necessary time-resolution of the measurements and quadratically reduces the overall sample complexity compared to previous approaches. Furthermore, we show that our protocol can characterize the dynamics of systems with algebraically decaying interactions. The implementation of the protocol requires only the preparation of product states and single-qubit measurements. Furthermore, we improve a shadow tomography method for quantum channels that is of independent interest and discuss the robustness of the protocol to various errors. This protocol can be used to parallelize the learning of the Hamiltonian, rendering it applicable for the characterization of both current and future quantum devices. © 2024, The Author(s).

AB - Characterizing the interactions and dynamics of quantum mechanical systems is an essential task in developing quantum technologies. We propose an efficient protocol based on the estimation of the time-derivatives of few qubit observables using polynomial interpolation for characterizing the underlying Hamiltonian dynamics and Markovian noise of a multi-qubit device. For finite range dynamics, our protocol exponentially relaxes the necessary time-resolution of the measurements and quadratically reduces the overall sample complexity compared to previous approaches. Furthermore, we show that our protocol can characterize the dynamics of systems with algebraically decaying interactions. The implementation of the protocol requires only the preparation of product states and single-qubit measurements. Furthermore, we improve a shadow tomography method for quantum channels that is of independent interest and discuss the robustness of the protocol to various errors. This protocol can be used to parallelize the learning of the Hamiltonian, rendering it applicable for the characterization of both current and future quantum devices. © 2024, The Author(s).

U2 - 10.1038/s41467-023-44012-5

DO - 10.1038/s41467-023-44012-5

M3 - Journal article

C2 - 38191453

VL - 15

JO - Nature Communications

JF - Nature Communications

SN - 2041-1723

IS - 1

M1 - 311

ER -

ID: 380361768