Quantum Purification for Amplitude Damping Noise

• URL: http://arxiv.org/abs/2509.05709v1
• Date: Sat, 06 Sep 2025 13:02:58 GMT
• Title: Quantum Purification for Amplitude Damping Noise
• Authors: Kai Wang, Zhen-Yang Peng,
• Abstract summary: We introduce a novel approach for mitigating amplitude-damping (AD) noise in quantum systems.<n>Our method achieves a substantial enhancement in the fidelity of affected states or channels while maintaining a low resource overhead.<n>This approach provides a practical and scalable framework for addressing AD noise in realistic quantum systems.
• Score: 3.567855687957749
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Noise poses a fundamental challenge to quantum information processing, with amplitude-damping (AD) noise being particularly detrimental. Preserving high-fidelity quantum systems therefore relies critically on effective error correction and purification methods. In this work, we introduce a novel approach for mitigating AD noise that can be applied to both state and channel purification. Our method achieves a substantial enhancement in the fidelity of affected states or channels while maintaining a low resource overhead, requiring only one or two ancilla qubits in combination with two Clifford gates, and exhibits a relatively high success probability. This approach provides a practical and scalable framework for addressing AD noise in realistic quantum systems.

Related papers

• 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)
• Experimental Quantum Channel Purification [6.303535911712495]
  Channel purification emerges as a promising technique for suppressing noise in quantum channels without complex encoding and decoding operations.<n>We introduce an experimental setup for efficient channel purification, harnessing the spatial and polarization properties of photons.
  arXiv  Detail & Related papers  (2025-10-31T15:08:16Z)
• Classical Noise Inversion: A Practical and Optimal framework for Robust Quantum Applications [5.425954380993698]
  Quantum error mitigation is a critical technology for extracting reliable computations from noisy quantum processors.<n>It is hampered by the expansive cost of sampling from quantum circuits and the reliance on unrealistic assumptions, such as gate-independent noise.<n>Here, we introduce Classical Noise Inversion (CNI), a framework that fundamentally bypasses these crucial limitations and is well-suited for various quantum applications.
  arXiv  Detail & Related papers  (2025-10-23T15:59:04Z)
• Diagnosing Quantum Circuits: Noise Robustness, Trainability, and Expressibility [4.593875150231198]
  2MC-OBPPP is an efficient, hardware-independent tool for pre-execution circuit evaluation.<n>Applying this map to a specific circuit, we show that implementing interventions on fewer than 2% of the qubits is sufficient to up to 90% of errors.
  arXiv  Detail & Related papers  (2025-09-14T14:56:43Z)
• 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)
• Fidelity-Enhanced Variational Quantum Optimal Control [0.0]
  We propose a new method for creating robust pulses based on the Schr"odinger equation.<n>By accounting for both environmental noise sources as well as noise sources inherent to the control system, highly significant increases in fidelity are noted for both single and multiqubit state preparations.
  arXiv  Detail & Related papers  (2025-01-29T14:59:34Z)
• Bayesian Quantum Amplitude Estimation [46.03321798937855]
  We present BAE, a problem-tailored and noise-aware Bayesian algorithm for quantum amplitude estimation.<n>In a fault tolerant scenario, BAE is capable of saturating the Heisenberg limit; if device noise is present, BAE can dynamically characterize it and self-adapt.<n>We propose a benchmark for amplitude estimation algorithms and use it to test BAE against other approaches.
  arXiv  Detail & Related papers  (2024-12-05T18:09:41Z)
• Optimal Quantum Purity Amplification [2.05170973574812]
  We present the optimal QPA protocol for general quantum systems and global noise.<n>We provide an efficient implementation of the protocol based on generalized quantum phase estimation.<n> Numerical simulations demonstrate the effectiveness of our protocol applied to quantum simulation of Hamiltonian evolution.
  arXiv  Detail & Related papers  (2024-09-26T17:46:00Z)
• Overcoming the Zero-Rate Hashing Bound with Holographic Quantum Error Correction [40.671162828621426]
  Finding an optimal quantum code under biased noise is a challenging problem.<n> benchmark for this capacity is given by the hashing bound.<n>We show that zero-rate holographic codes, built from hyperbolic tensor networks, fulfill both conditions.
  arXiv  Detail & Related papers  (2024-08-12T15:35:03Z)
• Readout error mitigated quantum state tomography tested on superconducting qubits [0.0]
  We test the ability of readout error mitigation to correct realistic noise found in systems composed of quantum two-level objects (qubits) By treating readout error mitigation in the context of state tomography the method becomes largely readout mode-, architecture-, noise source-, and quantum state-independent. We identify noise sources for which readout error mitigation worked well, and observed decreases in readout by a factor of up to 30.
  arXiv  Detail & Related papers  (2023-12-07T10:54:17Z)
• Accurate and Honest Approximation of Correlated Qubit Noise [39.58317527488534]
  We propose an efficient systematic construction of approximate noise channels, where their accuracy can be enhanced by incorporating noise components with higher qubit-qubit correlation degree.<n>We find that, for realistic noise strength typical for fixed-frequency superconducting qubits, correlated noise beyond two-qubit correlation can significantly affect the code simulation accuracy.
  arXiv  Detail & Related papers  (2023-11-15T19:00:34Z)
• 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)
• Machine Learning assisted excess noise suppression for continuous-variable quantum key distribution [10.533604439090514]
  An excess noise suppression scheme based on equalization is proposed. In this scheme, the distorted signals can be corrected through equalization assisted by a neural network and pilot tone. The experimental results show that the scheme can suppress the excess noise to a lower level, and has a significant performance improvement.
  arXiv  Detail & Related papers  (2022-07-21T12:31:13Z)
• 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)
• Mixed Noise Removal with Pareto Prior [31.306541517685137]
  Denoising images contaminated by the mixture of additive white Gaussian noise (AWGN) and noise impulse (IN) is an essential but challenging problem. Existing methods target to compensate the effects of IN by introducing a weighting matrix. We propose an accurate and robust weight estimator for mixed noise removal based on the priori of the weighting matrix.
  arXiv  Detail & Related papers  (2020-08-27T06:35:15Z)

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.