Quantum Resource Correction

• URL: http://arxiv.org/abs/2506.19776v1
• Date: Tue, 24 Jun 2025 16:41:56 GMT
• Title: Quantum Resource Correction
• Authors: Mark Byrd, Daniel Dilley, Alvin Gonzales, Masaya Takahashi, Zain Saleem, Lian-Ao Wu,
• Abstract summary: Resource theories play a crucial role in characterizing states and properties essential for quantum information processing.<n>We show that resource preserving operations in resource theory define a gauge freedom on code spaces, which allows for recovery strategies to correct the resource while changing non-essential properties.
• Score: 0.9895793818721335
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Resource theories play a crucial role in characterizing states and properties essential for quantum information processing. A significant challenge is protecting resources from errors. We explore strategies for correcting quantum resources. We show that resource preserving operations in resource theory define a gauge freedom on code spaces, which allows for recovery strategies that can correct the resource while changing non-essential properties. This allows decoding to be simplified. The results are applicable to various resource theories and quantum information applications.

Related papers

• Capacity-Constrained Continual Learning [64.70016365121081]
  This paper studies how agents with limited capacity should allocate their resources for optimal performance.<n>We derive a solution to the capacity-constrained linear-quadratic-Gaussian sequential prediction problem.<n>For problems that can be decomposed into a set of sub-problems, we also demonstrate how to optimally allocate capacity across these sub-problems in the steady state.
  arXiv  Detail & Related papers  (2025-07-29T03:47:22Z)
• Generative AI-enabled Quantum Computing Networks and Intelligent Resource Allocation [80.78352800340032]
  Quantum computing networks execute large-scale generative AI computation tasks and advanced quantum algorithms. efficient resource allocation in quantum computing networks is a critical challenge due to qubit variability and network complexity. We introduce state-of-the-art reinforcement learning (RL) algorithms, from generative learning to quantum machine learning for optimal quantum resource allocation.
  arXiv  Detail & Related papers  (2024-01-13T17:16:38Z)
• Learnability with Time-Sharing Computational Resource Concerns [65.268245109828]
  We present a theoretical framework that takes into account the influence of computational resources in learning theory. This framework can be naturally applied to stream learning where the incoming data streams can be potentially endless. It may also provide a theoretical perspective for the design of intelligent supercomputing operating systems.
  arXiv  Detail & Related papers  (2023-05-03T15:54:23Z)
• Is there a finite complete set of monotones in any quantum resource theory? [39.58317527488534]
  We show that there does not exist a finite set of resource monotones which completely determines all state transformations. We show that totally ordered theories allow for free transformations between all pure states.
  arXiv  Detail & Related papers  (2022-12-05T18:28:36Z)
• Stochastic Qubit Resource Allocation for Quantum Cloud Computing [66.97282014860265]
  In quantum cloud computing, quantum cloud providers provision quantum resources in reservation and on-demand plans for users. We propose a quantum resource allocation for the quantum cloud computing system in which quantum resources and the minimum waiting time of quantum circuits are jointly optimized.
  arXiv  Detail & Related papers  (2022-10-22T04:13:24Z)
• Resource Optimisation of Coherently Controlled Quantum Computations with the PBS-calculus [55.2480439325792]
  Coherent control of quantum computations can be used to improve some quantum protocols and algorithms. We refine the PBS-calculus, a graphical language for coherent control inspired by quantum optics.
  arXiv  Detail & Related papers  (2022-02-10T18:59:52Z)
• Quantifying Qubit Magic Resource with Gottesman-Kitaev-Preskill Encoding [58.720142291102135]
  We define a resource measure for magic, the sought-after property in most fault-tolerant quantum computers. Our formulation is based on bosonic codes, well-studied tools in continuous-variable quantum computation.
  arXiv  Detail & Related papers  (2021-09-27T12:56:01Z)
• Fundamental limits on concentrating and preserving tensorized quantum resources [0.0]
  We show that it is impossible to concentrate multiple noisy copies into a single better resource by free operations. We show that quantum resources cannot be better protected from channel noises by employing correlated input states on joint channels.
  arXiv  Detail & Related papers  (2021-04-26T01:37:01Z)
• Dynamical Resources [7.734726150561088]
  Quantum channels play a key role in the manipulation of quantum resources. We show how to manipulate dynamical resources with free superchannels. These results serve as the framework for the study of concrete examples of theories of dynamical resources.
  arXiv  Detail & Related papers  (2020-12-31T19:08:09Z)
• Resource speed limits: Maximal rate of resource variation [0.0]
  Resource theories formalise the role of important physical features in a given protocol. We construct bounds on the minimum time required for a given resource to change by a fixed increment. We show that the derived bounds are tight by considering several examples.
  arXiv  Detail & Related papers  (2020-04-07T02:13:17Z)
• General Quantum Resource Theories: Distillation, Formation and Consistent Resource Measures [3.8073142980733]
  Quantum resource theories (QRTs) provide a unified theoretical framework for understanding inherent quantum-mechanical properties that serve as resources in quantum information processing. But resources motivated by physics may possess intractable mathematical structure to analyze, such as non-uniqueness of maximally resourceful states, lack of convexity, and infinite dimension. We investigate state conversion and resource measures in general QRTs under minimal assumptions to figure out universal properties of physically motivated quantum resources.
  arXiv  Detail & Related papers  (2020-02-06T19:00:01Z)

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.