Analogue Quantum Simulation With Fixed-Frequency Transmon Qubits

Sean Greenaway¹, Adam Smith^2,3, Florian Mintert^1,4, and Daniel Malz^5,6

¹Physics Department, Blackett Laboratory, Imperial College London, Prince Consort Road, SW7 2BW, United Kingdom
²School of Physics and Astronomy, University of Nottingham, Nottingham, NG7 2RD, UK
³Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, University of Nottingham, Nottingham, NG7 2RD, UK
⁴Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstraße 400, 01328 Dresden, Germany
⁵Max-Planck-Institute of Quantum Optics, Hans-Kopfermann-Str. 1, 85748 Garching, Germany
⁶Department of Physics, Technische Universität München, James-Franck-Straße 1, 85748 Garching, Germany

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Abstract

We experimentally assess the suitability of transmon qubits with fixed frequencies and fixed interactions for the realization of analogue quantum simulations of spin systems. We test a set of necessary criteria for this goal on a commercial quantum processor using full quantum process tomography and more efficient Hamiltonian tomography. Significant single qubit errors at low amplitudes are identified as a limiting factor preventing the realization of analogue simulations on currently available devices. We additionally find spurious dynamics in the absence of drive pulses, which we identify with coherent coupling between the qubit and a low dimensional environment. With moderate improvements, analogue simulation of a rich family of time-dependent many-body spin Hamiltonians may be possible.

► BibTeX data

@article{Greenaway2024analoguequantum, doi = {10.22331/q-2024-02-22-1263}, url = {https://doi.org/10.22331/q-2024-02-22-1263}, title = {Analogue {Q}uantum {S}imulation with {F}ixed-{F}requency {T}ransmon {Q}ubits}, author = {Greenaway, Sean and Smith, Adam and Mintert, Florian and Malz, Daniel}, journal = {{Quantum}}, issn = {2521-327X}, publisher = {{Verein zur F{“{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}}, volume = {8}, pages = {1263}, month = feb, year = {2024} }

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Cited by

[1] Naoki Kanazawa, Daniel Egger, Yael Ben-Haim, Helena Zhang, William Shanks, Gadi Aleksandrowicz, and Christopher Wood, “Qiskit Experiments: A Python package to characterize and calibrate quantum computers”, The Journal of Open Source Software 8 84, 5329 (2023).

[2] Yuxiang Peng, Jacob Young, Pengyu Liu, and Xiaodi Wu, “SimuQ: A Framework for Programming Quantum Hamiltonian Simulation with Analog Compilation”, arXiv:2303.02775, (2023).

The above citations are from SAO/NASA ADS (last updated successfully 2024-02-22 13:05:17). The list may be incomplete as not all publishers provide suitable and complete citation data.

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This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions.

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Source: https://quantum-journal.org/papers/q-2024-02-22-1263/

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Analogue Quantum Simulation with Fixed-Frequency Transmon Qubits

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