Holographic quantum dynamics simulations on a trapped ion quantum computer

One of the most promising applications for a quantum computer is simulating the dynamics of strongly interacting quantum systems, a task that is hard to perform on a classical computer and yet important for studying processes such as chemical reactions and quantum information scrambling. Mid-circuit measurement and qubit re-use (MCMR) are powerful tools, available in Honeywell's trapped ion quantum charge-coupled device architecture [1], that can allow quantum computers to better utilize their limited resources. The holographic quantum dynamics algorithm (holoQUADS) developed in Ref. [2] uses MCMR to simulate the time-evolution of an infinitely-long correlated state, i.e., a matrix product state, using only a finite number of qubits. In this talk, we present our results for holoQUADS simulations performed on a Honeywell quantum computer for "dual-unitary" circuits, a class of quantum circuits whose time evolution is exactly solvable [3], and find good agreement with theoretical predictions.

[1] J.M. Pino et. al. arXiv:2003.01293 (2020).
[2] M. Foss-Feig et. al. arXiv:2005.03023 (2020).
[3] L. Piroli, et. al. Phys. Rev. B 101, 094304 (2020).