Experimental Tabletop Petz recovery of a photonic qubit

• URL: http://arxiv.org/abs/2606.12020v1
• Date: Wed, 10 Jun 2026 12:45:29 GMT
• Title: Experimental Tabletop Petz recovery of a photonic qubit
• Abstract summary: We implement the Petz recovery map for a versatile class of qubit channels with tunable decoherence and dissipation.<n>For a good range of choices of the reference state, the Petz recovery map can be implemented with the same devices as the forward dissipative evolution.
• Score: 12.121642774978362
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The quantum information lost in open evolutions cannot be fully recovered, but partial recovery is possible. The Petz recovery map guarantees almost optimal recovery, notably if the chosen reference state is close to the real one. This map has been widely used in theoretical studies, but has been the object of only a handful of experimental realisations, typically under a single fixed noise model. In this work, we describe and implement the Petz recovery map for a versatile class of qubit channels with tunable decoherence and dissipation. The setup we realize is also the first experimental example of ``tabletop reversibility'': for a good range of choices of the reference state, the Petz recovery map can be implemented with the same devices as the forward dissipative evolution, whose effect it is partially undoing. Our results demonstrate that the Petz recovery map can be resource-efficiently realized without requiring complex ancillary resources, providing a feasible pathway for mitigating information loss in quantum systems.

Related papers

• Next-Acceleration-Scale Prediction for Autoregressive MRI Reconstruction [52.32112533846212]
  MRI reconstruction is an inherently ill-posed inverse problem, since incomplete measurements admit many plausible solutions.<n>We address this limitation by moving reconstruction to discrete multi-scale latent space and posing it as autoregressive next-acceleration-scale prediction.<n>We show that our approach delivers improved reconstruction performance across diverse sampling patterns under extreme undersampling.
  arXiv  Detail & Related papers  (2026-05-19T04:40:50Z)
• Quantum Darwinism and the quality of Petz recovery [0.0]
  According to Quantum Darwinism, system-environment interactions both einselect particular system properties and encode them redundantly in many independent subsets of the environment.<n>We show that the fidelity between the system's initial state and the state reconstructed via Petz recovery develops a plateau as a function of the fragment size.
  arXiv  Detail & Related papers  (2026-05-07T18:49:51Z)
• Recovery of optical losses with the Petz recovery map [0.0]
  We construct the Petz recovery of single mode losses and its implementations.<n>We show that the recovery performance of Petz recovery map is better than the recovery protocol that replaces the noisy state with the belief state.
  arXiv  Detail & Related papers  (2025-11-08T09:24:26Z)
• Residual Diffusion Bridge Model for Image Restoration [57.31163715170476]
  Diffusion bridge models establish probabilistic paths between arbitrary paired distributions.<n>Most existing methods merely treat them as simple variants of interpolants, lacking a unified analytical perspective.<n>We propose the Residual Diffusion Bridge Model (RDBM) to address these challenges.
  arXiv  Detail & Related papers  (2025-10-27T08:35:49Z)
• Universal syndrome-based recovery for noise-adapted quantum error correction [0.9591164070876688]
  We propose an algorithmic approach to identifying error syndromes for arbitrary codes and noise processes.<n>We then use our algorithm to develop a variant of the Petz recovery map -- a syndrome-based Petz recovery map -- which can then be implemented via syndrome measurements.<n>We execute our recovery circuits on IBM quantum hardware to successfully demonstrate break-even performance of a noise-adapted QEC protocol.
  arXiv  Detail & Related papers  (2025-10-09T18:27:22Z)
• Realizing the Petz Recovery Map on an NMR Quantum Processor [0.0]
  We experimentally implement the Petz recovery map on a nuclear magnetic resonance (NMR) quantum processor using the duality quantum computing (DQC) algorithm.<n>Our results validate the feasibility of the Petz-based recovery map in current quantum platforms and highlight its relevance for near-term error mitigation strategies.
  arXiv  Detail & Related papers  (2025-08-12T15:07:20Z)
• APHQ-ViT: Post-Training Quantization with Average Perturbation Hessian Based Reconstruction for Vision Transformers [71.2294205496784]
  We propose textbfAPHQ-ViT, a novel PTQ approach based on importance estimation with Average Perturbation Hessian (APH)<n>We show that APHQ-ViT using linear quantizers outperforms existing PTQ methods by substantial margins in 3-bit and 4-bit across different vision tasks.
  arXiv  Detail & Related papers  (2025-04-03T11:48:56Z)
• Optimality Condition for the Petz Map [1.6437645274005803]
  In quantum error correction, the Petz map serves as a perfect recovery map when the Knill-Laflamme conditions are satisfied.<n>This work introduces and proves, for the first time, the necessary and sufficient conditions for the optimality of the Petz map in terms of entanglement fidelity.
  arXiv  Detail & Related papers  (2024-10-31T04:20:12Z)
• Bayesian Renormalization [68.8204255655161]
  We present a fully information theoretic approach to renormalization inspired by Bayesian statistical inference. The main insight of Bayesian Renormalization is that the Fisher metric defines a correlation length that plays the role of an emergent RG scale. We provide insight into how the Bayesian Renormalization scheme relates to existing methods for data compression and data generation.
  arXiv  Detail & Related papers  (2023-05-17T18:00:28Z)
• A Fair Loss Function for Network Pruning [70.35230425589592]
  We introduce the performance weighted loss function, a simple modified cross-entropy loss function that can be used to limit the introduction of biases during pruning. Experiments using the CelebA, Fitzpatrick17k and CIFAR-10 datasets demonstrate that the proposed method is a simple and effective tool.
  arXiv  Detail & Related papers  (2022-11-18T15:17:28Z)
• Approximating Invertible Maps by Recovery Channels: Optimality and an Application to Non-Markovian Dynamics [68.8204255655161]
  We investigate the problem of reversing quantum dynamics, specifically via optimal Petz recovery maps. We focus on typical decoherence channels, such as dephasing, depolarizing and amplitude damping. We extend this idea to explore the use of recovery maps as an approximation of inverse maps, and apply it in the context of non-Markovian dynamics.
  arXiv  Detail & Related papers  (2021-11-04T16:16:45Z)

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.