Decoherence and Quantum Error Correction for Quantum Computing and Communications

• URL: http://arxiv.org/abs/2202.08600v1
• Date: Thu, 17 Feb 2022 11:26:58 GMT
• Title: Decoherence and Quantum Error Correction for Quantum Computing and Communications
• Authors: Josu Etxezarreta Martinez
• Abstract summary: The protection of quantum information via quantum error correction codes (QECC) is of paramount importance to construct fully operational quantum computers. The nature of decoherence is studied and mathematically modelled; and QECCs are designed and optimized so that they exhibit better error correction capabilities.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum technologies have shown immeasurable potential to effectively solve several information processing tasks such as prime number factorization, unstructured database search or complex macromolecule simulation. As a result of such capability to solve certain problems that are not classically tractable, quantum machines have the potential revolutionize the modern world via applications such as drug design, process optimization, unbreakable communications or machine learning. However, quantum information is prone to suffer from errors caused by the so-called decoherence, which describes the loss in coherence of quantum states associated to their interactions with the surrounding environment. This decoherence phenomenon is present in every quantum information task, be it transmission, processing or even storage of quantum information. Consequently, the protection of quantum information via quantum error correction codes (QECC) is of paramount importance to construct fully operational quantum computers. Understanding environmental decoherence processes and the way they are modeled is fundamental in order to construct effective error correction methods capable of protecting quantum information. In this thesis, the nature of decoherence is studied and mathematically modelled; and QECCs are designed and optimized so that they exhibit better error correction capabilities.

Related papers

• The curse of random quantum data [62.24825255497622]
  We quantify the performances of quantum machine learning in the landscape of quantum data. We find that the training efficiency and generalization capabilities in quantum machine learning will be exponentially suppressed with the increase in qubits. Our findings apply to both the quantum kernel method and the large-width limit of quantum neural networks.
  arXiv  Detail & Related papers  (2024-08-19T12:18:07Z)
• Quantum Information Processing with Molecular Nanomagnets: an introduction [49.89725935672549]
  We provide an introduction to Quantum Information Processing, focusing on a promising setup for its implementation. We introduce the basic tools to understand and design quantum algorithms, always referring to their actual realization on a molecular spin architecture. We present some examples of quantum algorithms proposed and implemented on a molecular spin qudit hardware.
  arXiv  Detail & Related papers  (2024-05-31T16:43:20Z)
• Quantum Visual Feature Encoding Revisited [8.839645003062456]
  This paper revisits the quantum visual encoding strategies, the initial step in quantum machine learning. Investigating the root cause, we uncover that the existing quantum encoding design fails to ensure information preservation of the visual features after the encoding process. We introduce a new loss function named Quantum Information Preserving to minimize this gap, resulting in enhanced performance of quantum machine learning algorithms.
  arXiv  Detail & Related papers  (2024-05-30T06:15:08Z)
• Quantum algorithms: A survey of applications and end-to-end complexities [90.05272647148196]
  The anticipated applications of quantum computers span across science and industry. We present a survey of several potential application areas of quantum algorithms. We outline the challenges and opportunities in each area in an "end-to-end" fashion.
  arXiv  Detail & Related papers  (2023-10-04T17:53:55Z)
• Real-time quantum error correction beyond break-even [0.0]
  We show that a fully stabilized and error-corrected logical qubit's quantum coherence is significantly longer than that of all the imperfect quantum components involved in the quantum error correction process. We achieve this performance by combining innovations in several domains including the fabrication of superconducting quantum circuits and model-free reinforcement learning.
  arXiv  Detail & Related papers  (2022-11-16T18:58:12Z)
• Optimal Stochastic Resource Allocation for Distributed Quantum Computing [50.809738453571015]
  We propose a resource allocation scheme for distributed quantum computing (DQC) based on programming to minimize the total deployment cost for quantum resources. The evaluation demonstrates the effectiveness and ability of the proposed scheme to balance the utilization of quantum computers and on-demand quantum computers.
  arXiv  Detail & Related papers  (2022-09-16T02:37:32Z)
• Error Correction for Reliable Quantum Computing [0.0]
  We study a phenomenon exclusive to the quantum paradigm, known as degeneracy, and its effects on the performance of sparse quantum codes. We present methods to improve the performance of a specific family of sparse quantum codes in various different scenarios.
  arXiv  Detail & Related papers  (2022-02-17T11:26:52Z)
• Engineered Dissipation for Quantum Information Science [0.0]
  Dissipation is an essential tool for manipulating quantum information. Dissipation engineering enables quantum measurement, quantum state preparation, and quantum state stabilization.
  arXiv  Detail & Related papers  (2022-02-10T19:00:01Z)
• On exploring the potential of quantum auto-encoder for learning quantum systems [60.909817434753315]
  We devise three effective QAE-based learning protocols to address three classically computational hard learning problems. Our work sheds new light on developing advanced quantum learning algorithms to accomplish hard quantum physics and quantum information processing tasks.
  arXiv  Detail & Related papers  (2021-06-29T14:01:40Z)
• Hardware-Efficient, Fault-Tolerant Quantum Computation with Rydberg Atoms [55.41644538483948]
  We provide the first complete characterization of sources of error in a neutral-atom quantum computer. We develop a novel and distinctly efficient method to address the most important errors associated with the decay of atomic qubits to states outside of the computational subspace. Our protocols can be implemented in the near-term using state-of-the-art neutral atom platforms with qubits encoded in both alkali and alkaline-earth atoms.
  arXiv  Detail & Related papers  (2021-05-27T23:29:53Z)
• Quantum information processing with bosonic qubits in circuit QED [1.2891210250935146]
  We review recent developments in the theory and implementation of quantum error correction with bosonic codes. We report the progress made towards realizing fault-tolerant quantum information processing with cQED devices.
  arXiv  Detail & Related papers  (2020-08-31T10:27:06Z)

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.