Lecture Notes on Quantum Algorithms in Open Quantum Systems

• URL: http://arxiv.org/abs/2406.11613v1
• Date: Mon, 17 Jun 2024 15:00:25 GMT
• Title: Lecture Notes on Quantum Algorithms in Open Quantum Systems
• Authors: Matteo Carlesso,
• Abstract summary: These lecture notes aim to provide a clear and comprehensive introduction to using open quantum system theory for quantum algorithms. The main arguments are Variational Quantum Algorithms, Quantum Error Correction, Dynamical Decoupling and Quantum Error Mitigation.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: These lecture notes aim to provide a clear and comprehensive introduction to using open quantum system theory for quantum algorithms. The main arguments are Variational Quantum Algorithms, Quantum Error Correction, Dynamical Decoupling and Quantum Error Mitigation.

Related papers

• Quantum Algorithms and Applications for Open Quantum Systems [1.7717834336854132]
  We provide a succinct summary of the fundamental theory of open quantum systems. We then delve into a discussion on recent quantum algorithms. We conclude with a discussion of pertinent applications, demonstrating the applicability of this field to realistic chemical, biological, and material systems.
  arXiv  Detail & Related papers  (2024-06-07T19:02:22Z)
• 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)
• Power Characterization of Noisy Quantum Kernels [52.47151453259434]
  We show that noise may make quantum kernel methods to only have poor prediction capability, even when the generalization error is small. We provide a crucial warning to employ noisy quantum kernel methods for quantum computation.
  arXiv  Detail & Related papers  (2024-01-31T01:02:16Z)
• Quantum Algorithms for the computation of quantum thermal averages at work [0.0]
  We consider the practical implementation of the so-called Quantum-Quantum Metropolis algorithm. We simulate a basic system of three frustrated quantum spins and discuss its systematics.
  arXiv  Detail & Related papers  (2023-08-02T17:05:10Z)
• Quantum Machine Learning: from physics to software engineering [58.720142291102135]
  We show how classical machine learning approach can help improve the facilities of quantum computers. We discuss how quantum algorithms and quantum computers may be useful for solving classical machine learning tasks.
  arXiv  Detail & Related papers  (2023-01-04T23:37:45Z)
• Investigation of Perturbation Theory with Variational Quantum Algorithm [0.0]
  Variational Quantum Algorithms are among the most promising systems to implement quantum computing. In this paper, we investigate perturbation theory with these algorithms and prospect the possibility of using the variational quantum algorithm to simulate quantum dynamics in perturbation theory.
  arXiv  Detail & Related papers  (2022-12-30T07:30:05Z)
• 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)
• Efficient criteria of quantumness for a large system of qubits [58.720142291102135]
  We discuss the dimensionless combinations of basic parameters of large, partially quantum coherent systems. Based on analytical and numerical calculations, we suggest one such number for a system of qubits undergoing adiabatic evolution.
  arXiv  Detail & Related papers  (2021-08-30T23:50:05Z)
• Quantum walk processes in quantum devices [55.41644538483948]
  We study how to represent quantum walk on a graph as a quantum circuit. Our approach paves way for the efficient implementation of quantum walks algorithms on quantum computers.
  arXiv  Detail & Related papers  (2020-12-28T18:04:16Z)
• Quantum information spreading in a disordered quantum walk [50.591267188664666]
  We design a quantum probing protocol using Quantum Walks to investigate the Quantum Information spreading pattern. We focus on the coherent static and dynamic disorder to investigate anomalous and classical transport. Our results show that a Quantum Walk can be considered as a readout device of information about defects and perturbations occurring in complex networks.
  arXiv  Detail & Related papers  (2020-10-20T20:03:19Z)
• Quantum Stochastic Walk Models for Quantum State Discrimination [6.85316573653194]
  Quantum Walks (QSW) allow for a generalization of both quantum and classical random walks. We consider the problem of quantum state discrimination on such a system, and we solve it by optimizing the network topology weights.
  arXiv  Detail & Related papers  (2020-03-30T08:07:12Z)

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.