Multi-echo evaluation of non-invertible errors in target quantum computations
- 1The Hebrew University of Jerusalem
Abstract
This work introduces a method for quantifying errors in quantum computations using multiple echoes of a target circuit. Our approach addresses a gap in the range of available benchmarking methods: unlike existing approaches that evaluate the average performance of a device, circuit, or gate, our method estimates the error in a target computation using the same initial state and circuit as the computation itself. It therefore captures how noise manifests in the specific computation of interest. We present two variants of the approach. The first estimates incoherent errors through purity loss, while the second estimates the echo infidelity, which captures both incoherent errors and non-invertible coherent errors, such as crosstalk. The purity-loss method applies to low-error circuits, or layers of gates, regardless of system size. The echo-infidelity method applies to circuits of arbitrary size and remains effective even at high error rates. Because our approach does not rely on an explicit noise model, it can complement methods that provide more detailed error information by testing the validity of the sparsity assumptions underlying those models. Finally, we discuss platforms on which our method can be implemented immediately.
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BibTeX
@article{santos2026multiecho,
title = {{Multi-echo evaluation of non-invertible errors in target quantum computations}},
author = {Jader P Santos and Ivan Henao and Raam Uzdin},
journal = {New Journal of Physics},
year = {2026},
month = oct,
doi = {10.1088/1367-2630/aeae65},
url = {https://iopscience.iop.org/article/10.1088/1367-2630/aeae65},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Multi-echo evaluation of non-invertible errors in target quantum computations
AU - Jader P Santos
AU - Ivan Henao
AU - Raam Uzdin
PY - 2026
DA - 2026/10/14
JO - New Journal of Physics
DO - 10.1088/1367-2630/aeae65
UR - https://iopscience.iop.org/article/10.1088/1367-2630/aeae65
AB - This work introduces a method for quantifying errors in quantum computations using multiple echoes of a target circuit. Our approach addresses a gap in the range of available benchmarking methods: unlike existing approaches that evaluate the average performance of a device, circuit, or gate, our method estimates the error in a target computation using the same initial state and circuit as the computation itself. It therefore captures how noise manifests in the specific computation of interest. We present two variants of the approach. The first estimates incoherent errors through purity loss, while the second estimates the echo infidelity, which captures both incoherent errors and non-invertible coherent errors, such as crosstalk. The purity-loss method applies to low-error circuits, or layers of gates, regardless of system size. The echo-infidelity method applies to circuits of arbitrary size and remains effective even at high error rates. Because our approach does not rely on an explicit noise model, it can complement methods that provide more detailed error information by testing the validity of the sparsity assumptions underlying those models. Finally, we discuss platforms on which our method can be implemented immediately.
SN - 1367-2630
ER -