Analogue Quantum Simulation with Fixed-Frequency Transmon Qubits

Sean Greenaway1, Adam Smith2,3, Florian Mintert1,4, and Daniel Malz5,6

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.

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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).

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