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International Journal of Mathematic Exploration and Computer Education

Cross-Simulator Parity Validation of Quantum Network Entanglement Swapping: A Pre-Declared Validation Methodology with Two Independent Discrete-Event Simulators

David Vesterlund

Published Oct 19, 2026• 0 citations
Publisher

Abstract

We report three principal findings. First, two independent discrete-event quantum-network simulators—NetSquid 1.1.8 and SeQUeNCe 1.2.0—agree with an analytical Werner-swap oracle and with each other to machine precision in 160/160 state-level cases (max |ΔF| = 8.88×10−16) and in 50/50 protocol-level cases under matched source, channel, detector, heralding, retry, cutoff, BSM, readout, occupancy, latency, and goodput semantics. Second, when the shared harness is released and each simulator runs its own asynchronous event engine with independent random streams, mean output fidelity can be equivalent while the fidelity distributions differ strongly (Kolmogorov–Smirnov p≈10−27); a systematic timestamp-replay diagnosis localises this discrepancy to control/timing sampling rather than quantum-kernel disagreement. Third, a lightweight simulator (QMRB v0.2) with an incorrect Werner swap cross-term (/9 instead of /3) passes all counter-level parity checks but fails all 80 repeater fidelity comparisons with a mean error of 0.0235, demonstrating that modelform errors can be invisible at the counter level and silent until a fidelity threshold is crossed. To obtain these results we introduce a layered, pre-declared validation methodology comprising four layers: state-level parity, protocol-level parity, native-event parity, and model-form diagnosis. Each layer has an acceptance criterion frozen before execution. The methodology distinguishes implementation parity from model-form parity and from protocollevel parity, and reports explicit boundaries on what each layer does and does not establish.

DOI
10.47485/3069-9703.1028

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We report three principal findings. First, two independent discrete-event quantum-network simulators—NetSquid 1.1.8 and SeQUeNCe 1.2.0—agree with an analytical Werner-swap oracle and with each other to machine precision in 160/160 state-level cases (max |ΔF| = 8.88×10−16) and in 50/50 protocol-level cases under matched source, channel, detector, heralding, retry, cutoff, BSM, readout, occupancy, latency, and goodput semantics. Second, when the shared harness is released and each simulator runs its own asynchronous event engine with independent random streams, mean output fidelity can be equivalent while the fidelity distributions differ strongly (Kolmogorov–Smirnov p≈10−27); a systematic timestamp-replay diagnosis localises this discrepancy to control/timing sampling rather than quantum-kernel disagreement. Third, a lightweight simulator (QMRB v0.2) with an incorrect Werner swap cross-term (/9 instead of /3) passes all counter-level parity checks but fails all 80 repeater fidelity comparisons with a mean error of 0.0235, demonstrating that modelform errors can be invisible at the counter level and silent until a fidelity threshold is crossed. To obtain these results we introduce a layered, pre-declared validation methodology comprising four layers: state-level parity, protocol-level parity, native-event parity, and model-form diagnosis. Each layer has an acceptance criterion frozen before execution. The methodology distinguishes implementation parity from model-form parity and from protocollevel parity, and reports explicit boundaries on what each layer does and does not establish.
We present a comparative analysis of two open-source quantum network simulators, QuISP and SeQUeNCe, focusing on cross-validation of basic networking tasks to ensure consistency and accuracy in simulation outputs. Although both simulators are designed to study quantum network management policies and their dynamics under complex noise models, their differing underlying assumptions can lead to variations in simulation results. We highlight the discrepancies in how the two simulators handle connections, internal network node processing time, and classical communication, resulting in significant quantitative and qualitative differences in the time required to perform basic network tasks such as entanglement generation, purification, and swapping. We simulate common scenarios between the simulators to compare both the latency of resource distribution and the fidelity of the distributed resources. Our findings indicate that while the simulators differ in the time required to complete network tasks---a constant factor difference attributable to their respective connection models---they agree on the fidelity of the distributed resources under identical error parameters. This work demonstrates a crucial first step towards enhancing the reliability and reproducibility of quantum network simulations, as well as leading to full protocol development. Furthermore, our benchmarking methodology establishes a foundational set of tasks for the cross-validation of simulators to study future quantum networks.
Quantum repeaters are essential for scalable long-distance quantum networking. As quantum information processing moves toward fault-tolerant and error-corrected operations, it becomes increasingly important to study quantum repeaters that also move beyond raw physical entanglement and towards logical entanglement. In this paper, we implement and simulate the quantum repeater with encoding and classical error correction (QRE-CEC) protocol in SeQUeNCe, a discrete-event simulator of quantum networks. The protocol distributes logical Bell pairs, performs encoded entanglement swapping, and uses classical error correction for the decoding of entanglement swapping measurement outcomes to determine Pauli-frame corrections. For this study, we extend SeQUeNCe with a stabilizer-based backend, add support for CSS code-based encoded operations, and integrate gate, measurement, idle decoherence, and state-initialization noise models. Our simulation results show that QRE-CEC suppresses all modeled errors to the second order. Also, QRE-CEC can distribute logical Bell pairs with 0.91 fidelity over a distance of 2000 km under the parameter regimes we study. Beyond protocol-level performance evaluation, our implementation exposes practical simulator and control-plane challenges that are typically abstracted away in theoretical studies.
Abstract In order to bring quantum networks into the real world, we would like to determine the requirements of quantum network protocols including the underlying quantum hardware. Because detailed architecture proposals are generally too complex for mathematical analysis, it is natural to employ numerical simulation. Here we introduce NetSquid, the NETwork Simulator for QUantum Information using Discrete events, a discrete-event based platform for simulating all aspects of quantum networks and modular quantum computing systems, ranging from the physical layer and its control plane up to the application level. We study several use cases to showcase NetSquid’s power, including detailed physical layer simulations of repeater chains based on nitrogen vacancy centres in diamond as well as atomic ensembles. We also study the control plane of a quantum switch beyond its analytically known regime, and showcase NetSquid’s ability to investigate large networks by simulating entanglement distribution over a chain of up to one thousand nodes.
In order to bring quantum networks into the real world, we would like to determine the requirements of quantum network protocols including the underlying quantum hardware. Since sufficiently detailed architecture proposals are generally too complex for mathematical analysis, it is natural to employ numerical simulation. Here, we introduce NetSquid, a generic discrete-event based platform for simulating all aspects of quantum networks and modular quantum computing systems, ranging from the physical layer hardware and the control plane all the way to the application level. We study several use cases to showcase the power of NetSquid. First, we perform a detailed physical layer simulation of repeater chains using processing nodes based on NV centres in diamond, as well as repeaters based on atomic ensembles. Second, we study the control plane of a recently introduced quantum switch beyond the analytically known regime. Use of the novel discrete-event paradigm for simulating networks allows the study of time-dependent noise in an entirely modular simulation, predicting the combined performance of physical hardware and control. Finally, we showcase Netsquid's ability to investigate large networks by simulating entanglement distribution over a chain of up to one thousand nodes using simplified physical models in less than three seconds.
Efficient classical simulation of large-scale quantum networks frequently relies on noise approximations, which consider a restricted set of operators to describe noisy channels and operations. In this work, we demonstrate how such simplified error models, such as Pauli twirling or reset channels, can lead to severe quantitative and qualitative discrepancies in protocol performance predictions. We analyze, in particular, how small differences can accumulate in iterative and sequential protocols such as entanglement purification, entanglement swapping, and repeater chains. Our results reveal that neglected error contributions can lead to important performance under- and over-estimations, measurement-outcome dependency, and oscillations in the fidelity, which are entirely overlooked by the simplified error model approximations. These results show that rigorous validation of complete noise architectures is indispensable for accurately predicting operational thresholds in future quantum technologies.
In order to bring quantum networks into the real world, we would like to determine the requirements of quantum network protocols including the underlying quantum hardware. Because detailed architecture proposals are generally too complex for mathematical analysis, it is natural to employ numerical simulation. Here we introduce NetSquid, the NETwork Simulator for QUantum Information using Discrete events, a discrete-event based platform for simulating all aspects of quantum networks and modular quantum computing systems, ranging from the physical layer and its control plane up to the application level. We study several use cases to showcase NetSquid's power, including detailed physical layer simulations of repeater chains based on nitrogen vacancy centres in diamond as well as atomic ensembles. We also study the control plane of a quantum switch beyond its analytically known regime, and showcase NetSquid's ability to investigate large networks by simulating entanglement distribution over a chain of up to one thousand nodes.