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THU: Thursday Contributed Sessions
THU 6: Quantum Computing and Communication: Contributed Session II (Concepts)
THU 6.3: Vortrag
Donnerstag, 11. September 2025, 14:45–15:00, ZHG007
Accuracy of Quantum Simulation under Random Errors and Noise — •Jayant Rao, Jens Eisert, and Tommaso Guaita — Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany
Quantum simulation emerges as a highly promising application of quantum computing. At present, a critical question revolves around the robustness of digital and analog approaches to simulating quantum systems in the presence of errors and noise.
We consider the task of simulating local observables in a d dimensional lattice. Each local Hamiltonian carries an error bounded by a small parameter δ in spectral norm to the correct Hamiltonian. We compute the deviation from the ideal evolution in a worst case, where we find that the error scales with O(δ td+1) in both the analog and digital method. We consider as a more realistic model randomly distributed Hamiltonian error terms, where we can show that the Trotter circuits error concentrates at O(δ) with high probability. We also show similar concentration effects which emerge considering random input states.
It is widely believed that analog quantum simulators are more resilient to noise because they allow for more error interference to happen. Our considerations show that strong error cancellation is present in Trotter based simulation as well. This leads us to motivate rethinking some beliefs about which strategies for quantum simulation are indeed more resilient to errors and noise.
Keywords: Quantum Simulation; Digital Quantum Simulation; Analog Quantum Simulation; Quantum Computing