Holographic quantum simulations using a 3D circuit-QED system

Simulating quantum systems is a useful application and one of the viable goals of near-term small-scale quantum computers. Practical applications include predicting chemical kinetics, characterizing phase transitions and simulating information scrambling. holoVQE [1] is a holographic extension of the variational quantum eigensolver algorithm that uses matrix product states (MPS) to simulate a given quantum system with reduced hardware requirements. Experimentally this algorithm can be implemented with bosonic modes in circuit-QED systems [2], which have shown high coherence and can encode error-correcting codes to further enhance their lifetime. In this talk we will show, with theoretical simulations and preliminary experiments, how we can use the Hilbert space of a 3D superconducting cavity to build an MPS and show efficient control of the system in order to build more complex algorithms in the future.

[1] M. Foss-Feig et al., Phys. Rev. Research 3, 033002 (2021).

[2] Wen-Long Ma et al., Science Bulletin 66, 1789 (2021).