Quantum 2025 – scientific programme
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FRI: Friday Contributed Sessions
FRI 6: Quantum Error Mitigation
FRI 6.2: Talk
Friday, September 12, 2025, 11:00–11:15, ZHG007
Coherently mitigating boson samplers with stochastic errors — Deepesh Singh1, Ryan J Marshman1, •Nathan Walk2, Jens Eisert2,3, Timothy C Ralph1, and Austin P Lund1,2 — 1University of Queensland — 2Freie Universität Berlin — 3Helmholtz-Zentrum Berlin
Sampling experiments provide a viable route to show quantum advantages of quantum devices over classical computers in well-defined computational tasks. However, devices such as boson samplers are susceptible to various errors, including stochastic errors due to fabrication imperfections causing the implemented unitary operations to deviate randomly from their intended targets. Whilst full-scale quantum error correction remains challenging, quantum error mitigation schemes have been devised to estimate expectation values, but it is unclear how these would work for sampling experiments. Here, we adopt the unitary averaging protocol which employs multiple stochastic boson samplers to generate a distribution that better approximate the ideal distribution as the number of samplers increases. We derive rigorous upper bounds on the trace distance between the output probability distributions induced by invertible vacuum-heralded networks based on the Schur-Weyl duality. More broadly, these results suggests a path towards understanding error mitigation for sampling experiments and developing analysis tools for photonic circuits incorporating measurements and feed-forward. Other applications include the implementation of linear combination of unitaries and fabrication benchmarking.
Keywords: Quantum Optics; Boson Sampling; Error mitigation