Error-mitigated inference of quantum network topology

• URL: http://arxiv.org/abs/2507.09867v1
• Date: Mon, 14 Jul 2025 02:39:44 GMT
• Title: Error-mitigated inference of quantum network topology
• Authors: Jun-Hao Wei, Xin-Yu Xu, Shu-Ming Hu, Nuo-Ya Yang, Li Li, Nai-Le Liu, Kai Chen,
• Abstract summary: We propose a scalable and efficient approach to reveal the topological information of unknown quantum networks.<n>The scheme exploits entropic uncertainty, an operationally meaningful measure of correlation, by performing only two local measurements on each qubit.
• Score: 12.448981350236968
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Paramount for performances of quantum network applications are the structure and quality of distributed entanglement. Here we propose a scalable and efficient approach to reveal the topological information of unknown quantum networks, and quantify entanglement simultaneously. The scheme exploits entropic uncertainty, an operationally meaningful measure of correlation, by performing only two local measurements on each qubit. Moreover, when measurement outcomes in each node are collectively evaluated, integrating uncertainty and mutual information enables a direct count of the number of bipartite sources between any two nodes. This surpasses what is possible via applying either approach solely. Moreover, quantum error mitigation techniques including probabilistic error cancellation (PEC) and virtual distillation (VD), which have been widely applied to suppress biases in single expectation value, are further incorporated to mitigate errors in entropic quantities. We find that PEC successfully removes deviations in correlation estimations. Meanwhile, VD extends the depolarizing noise strength that allows for valid bipartite entanglement certification from 8.8% to 26.4%, thus substantially enhancing robustness against bias-inducing noise in practical situations. The proposal is applicable to a broad variety of platforms and helps to spur future studies toward harnessing the advantages of quantum networks.

Related papers

• Noise-Robust Estimation of Quantum Observables in Noisy Hardware [0.0]
  Noise-Robust Estimation is a noise-agnostic framework that systematically reduces estimation bias.<n>NRE exploits a bias-dispersion correlation uncovered in this work.<n>We experimentally validate NRE on an IQM superconducting quantum processor.
  arXiv  Detail & Related papers  (2025-03-09T17:18:16Z)
• Resource-Efficient Quantum Correlation Measurement: A Multicopy Neural Network Approach for Practical Applications [0.0]
  We propose an alternative strategy that reduces the required information by combining multicopy measurements with artificial neural networks.<n>We have successfully measured two-qubit quantum correlations of Bell states subjected to a depolarizing channel.<n>Our experiments, conducted with transmon qubits on IBMQ processors, quantified the violation of Bell's inequality and the negativity of two-qubit entangled states.
  arXiv  Detail & Related papers  (2024-11-08T18:07:23Z)
• Scalability of quantum error mitigation techniques: from utility to advantage [0.0]
  Error mitigation has elevated quantum computing to the scale of hundreds of qubits and tens of layers. Yet larger scales (deeper circuits) are needed to fully exploit the potential of quantum computing. Here we demonstrate three key results that pave the way for the leap from quantum utility to quantum advantage.
  arXiv  Detail & Related papers  (2024-03-20T12:26:51Z)
• Multimodal deep representation learning for quantum cross-platform verification [60.01590250213637]
  Cross-platform verification, a critical undertaking in the realm of early-stage quantum computing, endeavors to characterize the similarity of two imperfect quantum devices executing identical algorithms. We introduce an innovative multimodal learning approach, recognizing that the formalism of data in this task embodies two distinct modalities. We devise a multimodal neural network to independently extract knowledge from these modalities, followed by a fusion operation to create a comprehensive data representation.
  arXiv  Detail & Related papers  (2023-11-07T04:35:03Z)
• Resource-efficient Generalized Quantum Subspace Expansion [2.2862734221086987]
  We propose Dual-GSE'', a resource-efficient implementation of generalized quantum subspace (GSE) to circumvent the overhead of entangled measurements.<n>Remarkably, the proposed method can further simulate larger quantum systems beyond the size of available quantum hardware.
  arXiv  Detail & Related papers  (2023-09-25T14:28:40Z)
• Entangled Pair Resource Allocation under Uncertain Fidelity Requirements [59.83361663430336]
  In quantum networks, effective entanglement routing facilitates communication between quantum source and quantum destination nodes. We propose a resource allocation model for entangled pairs and an entanglement routing model with a fidelity guarantee. Our proposed model can reduce the total cost by at least 20% compared to the baseline model.
  arXiv  Detail & Related papers  (2023-04-10T07:16:51Z)
• Inferring Quantum Network Topology using Local Measurements [3.549868541921029]
  We propose an efficient protocol for distinguishing and inferring the topology of a quantum network. We show that the protocol can be entirely robust to noise and can be implemented via quantum variational optimization.
  arXiv  Detail & Related papers  (2022-12-15T17:36:12Z)
• Suppressing Amplitude Damping in Trapped Ions: Discrete Weak Measurements for a Non-unitary Probabilistic Noise Filter [62.997667081978825]
  We introduce a low-overhead protocol to reverse this degradation. We present two trapped-ion schemes for the implementation of a non-unitary probabilistic filter against amplitude damping noise. This filter can be understood as a protocol for single-copy quasi-distillation.
  arXiv  Detail & Related papers  (2022-09-06T18:18:41Z)
• Efficient Bipartite Entanglement Detection Scheme with a Quantum Adversarial Solver [89.80359585967642]
  Proposal reformulates the bipartite entanglement detection as a two-player zero-sum game completed by parameterized quantum circuits. We experimentally implement our protocol on a linear optical network and exhibit its effectiveness to accomplish the bipartite entanglement detection for 5-qubit quantum pure states and 2-qubit quantum mixed states.
  arXiv  Detail & Related papers  (2022-03-15T09:46:45Z)
• Crosstalk Suppression for Fault-tolerant Quantum Error Correction with Trapped Ions [62.997667081978825]
  We present a study of crosstalk errors in a quantum-computing architecture based on a single string of ions confined by a radio-frequency trap, and manipulated by individually-addressed laser beams. This type of errors affects spectator qubits that, ideally, should remain unaltered during the application of single- and two-qubit quantum gates addressed at a different set of active qubits. We microscopically model crosstalk errors from first principles and present a detailed study showing the importance of using a coherent vs incoherent error modelling and, moreover, discuss strategies to actively suppress this crosstalk at the gate level.
  arXiv  Detail & Related papers  (2020-12-21T14:20:40Z)
• Efficient and robust certification of genuine multipartite entanglement in noisy quantum error correction circuits [58.720142291102135]
  We introduce a conditional witnessing technique to certify genuine multipartite entanglement (GME) We prove that the detection of entanglement in a linear number of bipartitions by a number of measurements scales linearly, suffices to certify GME. We apply our method to the noisy readout of stabilizer operators of the distance-three topological color code and its flag-based fault-tolerant version.
  arXiv  Detail & Related papers  (2020-10-06T18:00:07Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.