TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.19.1.013
TI  - Fidelity decay and error accumulation in random quantum circuits
PY  - 2025/07/08
UR  - https://scipost.org/SciPostPhys.19.1.013
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 19
IS  - 1
SP  - 013
A1  - Samos, Nadir
AU  - Bistroń, Rafał
AU  - Rudziński, Marcin
AU  - Pereira, Rodrigo Miguel Chinita
AU  - Życzkowski, Karol
AU  - Ribeiro, Pedro
AB  - Fidelity decay captures the inevitable state degradation in any practical implementation of a quantum process. We devise bounds for the decay of fidelity for a generic evolution given by a random quantum circuit model that encompasses errors arising from the implementation of two-qubit gates and qubit permutations. We show that fidelity decays exponentially with both circuit depth and the number of qubits raised to an architecture-dependent power and we determine the decay rates as a function of the amplitude of the aforementioned errors. Furthermore, we demonstrate the utility of our results in benchmarking quantum processors using the quantum volume figure of merit and provide insights into strategies for improving processor performance. These findings pave the way for understanding how states evolving under generic quantum dynamics degrade due to the accumulation of different kinds of perturbations.
ER  -

@Article{10.21468/SciPostPhys.19.1.013,
	title={{Fidelity decay and error accumulation in random quantum circuits}},
	author={Nadir Samos Sáenz de Buruaga and Rafał Bistroń and Marcin Rudziński and Rodrigo M. C. Pereira and Karol Życzkowski and Pedro Ribeiro},
	journal={SciPost Phys.},
	volume={19},
	pages={013},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.19.1.013},
	url={https://scipost.org/10.21468/SciPostPhys.19.1.013},
}