Quantum error mitigation by hierarchy-informed sampling: chiral dynamics in the Schwinger model

• URL: http://arxiv.org/abs/2603.04339v1
• Date: Wed, 04 Mar 2026 17:58:53 GMT
• Title: Quantum error mitigation by hierarchy-informed sampling: chiral dynamics in the Schwinger model
• Authors: Theo Saporiti, Oleg Kaikov, Vasily Sazonov, Mohamed Tamaazousti,
• Abstract summary: Quantum simulations on current NISQ hardware are limited by its noisy nature.<n>We introduce a novel quantum error mitigation scheme, applicable to arbitrary quantum simulations of time-dependent Hamiltonian dynamics.
• Score: 4.322339935902436
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum simulations on current NISQ hardware are limited by its noisy nature, making efficient quantum error mitigation methods highly demanded. In this paper we introduce a novel mitigation scheme, applicable to arbitrary quantum simulations of time-dependent Hamiltonian dynamics on NISQ devices. The scheme uses a polynomial subset of extended qubit Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy equations as a sampling criterion of possible mitigated candidates for the quantum observables. We show that for favorable Hamiltonians the polynomial subset of BBGKY hierarchy equations leads to a polynomial overhead in both classical and quantum resources. We employ the method to mitigate simulations of the chiral magnetic effect (CME), a chiral feature of the Schwinger model. We empirically show the effectiveness of our scheme at recovering the real-time dynamics of the CME from noisy quantum simulations of the Schwinger model, for a range of different parameter values of the model. We numerically demonstrate a systematic reduction of quantum noise, together with an increasing noise reduction capability as the amount of BBGKY constraints grows.

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