Complementing Quantum Error Correction in Quantum Metrology via Swap Test

• URL: http://arxiv.org/abs/2605.23792v1
• Date: Fri, 22 May 2026 15:53:04 GMT
• Title: Complementing Quantum Error Correction in Quantum Metrology via Swap Test
• Abstract summary: We propose a swap test-based method specifically designed to address indistinguishable noise, even under high noise levels.<n>A systematic error-scaling analysis demonstrates that this method enables quantum-enhanced precision in certain scenarios.
• Score: 2.6597433831072355
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The precision and sensitivity achievable in quantum metrology are often compromised by the presence of noise. While quantum error correction has emerged as a promising strategy, it is ineffective in addressing noise that is indistinguishable from the signal. To address this challenge, virtual state purification was introduced as a complementary approach to quantum error correction. However, significant noise accumulation can impede its performance. To overcome this limitation, we propose a swap test-based method specifically designed to address indistinguishable noise, even under high noise levels. A systematic error-scaling analysis demonstrates that this method enables quantum-enhanced precision in certain scenarios. Furthermore, numerical simulations demonstrate that our method surpasses virtual state purification in both single- and multi-parameter estimation tasks. The significant improvements in precision across diverse settings underscore the robustness and practicality of our method for real-world applications.

Related papers

• Reinforcement Learning Control of Quantum Error Correction [108.70420561323692]
  Quantum computer learns to self-improve directly from its errors and never stops computing.<n>This work enables a new paradigm: a quantum computer that learns to self-improve directly from its errors and never stops computing.
  arXiv  Detail & Related papers  (2025-11-11T17:32:25Z)
• Variational noise mitigation in quantum circuits: the case of Quantum Fourier Transform [35.18016233072556]
  We perform numerical simulations for two qubits under both coherent and incoherent noise.<n>Our results show that the variational circuit can reproduce the QFT with higher fidelity in scenarios dominated by coherent noise.<n>This demonstrates the potential of the approach as an effective error-mitigation strategy for small- to medium-scale quantum systems.
  arXiv  Detail & Related papers  (2025-11-07T14:35:55Z)
• Error mitigation of shot-to-shot fluctuations in analog quantum simulators [46.54051337735883]
  We introduce an error mitigation technique that addresses shot-to-shot fluctuations in the parameters for the Hamiltonian governing the system dynamics.<n>We rigorously prove that amplifying this shot-to-shot noise and extrapolating to the zero-noise limit recovers noiseless results for realistic noise distributions.<n> Numerically, we predict a significant enhancement in the effective many-body coherence time for Rydberg atom arrays under realistic conditions.
  arXiv  Detail & Related papers  (2025-06-19T18:00:00Z)
• Error-Mitigated Quantum Metrology via Probabilistic Virtual Purification [1.7495213911983416]
  Near-term quantum metrology is often constrained by noise.<n>Probable virtual channel purification is proposed to handle the largely accumulated noise.<n>Our error analysis reveals a significant reduction in bias and a quantum advantage in sampling cost.
  arXiv  Detail & Related papers  (2025-06-09T10:31:12Z)
• Dynamic Estimation Loss Control in Variational Quantum Sensing via Online Conformal Inference [39.72602887300498]
  Current variational quantum sensing methods lack rigorous performance guarantees.<n>This paper proposes an online control framework for VQS that dynamically updates the variational parameters while providing deterministic error bars on the estimates.<n> Experiments on a quantum magnetometry task confirm that the proposed dynamic VQS approach maintains the required reliability over time, while still yielding precise estimates.
  arXiv  Detail & Related papers  (2025-05-29T12:19:07Z)
• Provably Robust Training of Quantum Circuit Classifiers Against Parameter Noise [49.97673761305336]
  Noise remains a major obstacle to achieving reliable quantum algorithms.<n>We present a provably noise-resilient training theory and algorithm to enhance the robustness of parameterized quantum circuit classifiers.
  arXiv  Detail & Related papers  (2025-05-24T02:51:34Z)
• Exponentially Decaying Quantum Simulation Error with Noisy Devices [12.841022919599341]
  We show that noise in current quantum hardware poses a significant obstacle to quantum simulation.<n>We prove that the physical error but also the algorithmic error in a single Trotter step decreases exponentially with the circuit depth.<n>This work provides fresh and systematic insight on the practical quantum advantage through quantum simulation.
  arXiv  Detail & Related papers  (2025-04-14T14:10:24Z)
• Virtual purification complements quantum error correction in quantum metrology [2.2384913922317105]
  We show that virtual purification (VP) can effectively suppress the effect of noise in realistic setups.<n>VP along with encoded probe states can effectively suppress the effect of noise in realistic setups.
  arXiv  Detail & Related papers  (2025-03-16T18:56:40Z)
• Enhancing Quantum Circuit Noise Robustness from a Geometric Perspective [2.1789818083464203]
  Quantum errors in noisy environments remain a major obstacle to advancing quantum information technology. We show how circuit noise robustness can be enhanced using twirling techniques. This research illuminates pathways to achieving noise-resistant quantum control beyond mere optimization of control pulses.
  arXiv  Detail & Related papers  (2023-05-11T13:34:39Z)
• Leveraging hardware-control imperfections for error mitigation via generalized quantum subspace [0.8399688944263843]
  In the era of quantum computing without full fault-tolerance, it is essential to suppress noise effects via the quantum error mitigation techniques to enhance the computational power of the quantum devices. One of the most effective noise-agnostic error mitigation schemes is the generalized quantum subspace expansion (GSE) method. We propose the fault-subspace method, which constructs an error-mitigated quantum state with copies of quantum states with different noise levels.
  arXiv  Detail & Related papers  (2023-03-14T07:01:30Z)
• Error-Mitigated Quantum Metrology via Virtual Purification [0.0]
  We propose an error-mitigated quantum metrology that can filter out unknown fluctuating noise. We demonstrate that our protocol mitigates systematic errors and recovers superclassical scaling in a practical situation with time-inhomogeneous bias-inducing noise.
  arXiv  Detail & Related papers  (2021-12-03T11:07:50Z)
• 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.