Robust Error Accumulation Suppression for Quantum Circuits

• URL: http://arxiv.org/abs/2401.16884v2
• Date: Tue, 08 Oct 2024 02:33:50 GMT
• Title: Robust Error Accumulation Suppression for Quantum Circuits
• Authors: Tatsuki Odake, Philip Taranto, Nobuyuki Yoshioka, Toshinari Itoko, Kunal Sharma, Antonio Mezzacapo, Mio Murao,
• Abstract summary: We present a robust error accumulation suppression technique to manage errors in quantum computers. For coherent errors, we show a reduction of the error scaling in an $L$-depth circuit from $O(sqrtL)$ to $O(sqrtL)$. We derive the general form of decoherence noise that can be suppressed by REAS.
• Score: 0.6282171844772421
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• Abstract: We present a robust error accumulation suppression (REAS) technique to manage errors in quantum computers. Our method reduces the accumulation of errors in any quantum circuit composed of single- or two-qubit gates expressed as $e^{-i \sigma\theta }$ for Pauli operators $\sigma$ and $\theta \in [0,\pi)$, which forms a universal gate set. For coherent errors -- which include gate overrotation and crosstalk -- we demonstrate a reduction of the error scaling in an $L$-depth circuit from $O(L)$ to $O(\sqrt{L})$. This asymptotic error suppression behavior can be proven in a regime where all gates -- including those constituting the error-suppressing protocol itself -- are noisy. Going beyond coherent errors, we derive the general form of decoherence noise that can be suppressed by REAS. Lastly, we experimentally demonstrate the effectiveness of our approach regarding realistic errors using 100-qubit circuits with up to 64 two-qubit gate layers on IBM Quantum processors.

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