Speaker
Description
Digital quantum simulation is an exciting near-term application of NISQ quantum devices. The re-programmable digital approach allows them to emulate a wide range of interesting materials, such as topological matter or large molecules, that have proven too complex to understand using classical physics and standard computation. Digital simulation combines the tool-set of quantum information with high performance gate-based evolution [1], enabling the use of quantum control and error mitigation protocols designed for gate-based algorithms [2, 3]. The high fidelities and long coherence times of trapped ion systems make them an excellent candidate to demonstrate digital quantum simulation.
Here we will demonstrate the quantum simulation of a topological spin chain on a trapped-ion quantum processor. In this work, we utilize qudits to directly simulate higher-dimensional spin systems in nature. We generate the spin chain sequentially using an ancilla qubit [4] and verify the expected properties of the state. In particular, we probe error-robust edge modes that arise due to topological symmetry in our material, and study the correlations and entanglement behaviour between qudits.
[1] Müller, M. et al., “Simulating open quantum systems: from many-body interactions to stabilizer pumping“, New J. Phys. 13, 085007 (2011).
[2] Edmunds, C. L. et al., “Dynamically corrected gates suppressing spatiotemporal error correlations as measured by randomized benchmarking”, Phys. Rev. Research 2, 013156 (2020).
[3] Milne, A. R. et al., “Phase-Modulated Entangling Gates Robust to Static and Time-Varying Errors”, Phys. Rev. Applied 13, 024022 (2020).
[4] Schön, C. et al., “Sequential generation of matrix-product states in cavity QED”, Phys. Rev. A 75, 032311 (2007).
