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Trapped Ion Quantum Computing Quantum Simulation

Simulation-Free Fidelity Estimation via Quantum Output Order Statistics

arXiv
Authors: Tobias Micklitz

Year

2025

Paper ID

51220

Status

Preprint

Abstract Read

~2 min

Abstract Words

102

Citations

N/A

Abstract

We introduce a simulation-free method to estimate the fidelity of large quantum circuits based on the order statistics of measured output probabilities from highly entangled, chaotic states. The approach requires only the highest-probability output bitstrings - the most frequently observed measurement outcomes - and builds on exact analytical results for the order statistics of Haar-random quantum states derived here. Analyzing their modification under depolarizing noise, we propose a scalable fidelity estimator, validated on Google's 12-qubit Sycamore experiment and further supported by numerical simulations. We demonstrate its practicality for intermediate-scale quantum circuits, where cross-entropy benchmarking is costly and direct fidelity estimation is difficult.

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  • We introduce a simulation-free method to estimate the fidelity of large quantum circuits based on the order statistics of measured output probabilities from highly entangled...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2510.13026 [2] arXiv https://arxiv.org/abs/2510.13026 [3] Publisher https://arxiv.org/abs/2510.13026

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