Quantum coherence and counterdiabatic quantum computing

• URL: http://arxiv.org/abs/2504.17642v1
• Date: Thu, 24 Apr 2025 15:12:49 GMT
• Title: Quantum coherence and counterdiabatic quantum computing
• Authors: Raziel Huerta-Ruiz, Maximiliano Araya-Gaete, Diego Tancara, Enrique Solano, Nancy Barraza, Francisco Albarrán-Arriagada,
• Abstract summary: Counterdiabatic driving emerges as a valuable technique for implementing shortcuts to adiabaticity protocols.<n>This work investigates the production of quantum coherence in adiabatic evolution accelerated by counterdiabatic driving.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Counterdiabatic driving emerges as a valuable technique for implementing shortcuts to adiabaticity protocols, enhancing quantum technology applications. In this context, counterdiabatic quantum computing represents a new paradigm with the potential to achieve quantum advantage for industrial problems. This work investigates the production of quantum coherence in adiabatic evolution accelerated by counterdiabatic driving within the framework of counterdiabatic quantum computing. Specifically, we analyze different orders in the nested commutator expansion for approximated counterdiabatic drivings for three cases: a weighted max-cut problem, a 4-local Hamiltonian, and a non-stoquastic Hamiltonian. Our findings reveal that the hierarchy introduced by coherence production correlates with the success probability in the impulse regime. This suggests that protocols increasing coherence during evolution enhance performance in adiabatic evolution driven by counterdiabatic techniques. We show that large quantum coherence also means large energy fluctuation during evolution, which is associated with the speed of evolution, paving the way for designing superior algorithms in counterdiabatic quantum computing.

Related papers

• Shortcuts for Adiabatic and Variational Algorithms in Molecular Simulation [3.5621685463862356]
  We introduce shortcuts-to-adiabaticity techniques into adiabatic and variational algorithms for calculating the molecular ground state. Our approach achieves comparable accuracy to other established ansatzes, while enhancing the potential for applications in material science, drug discovery, and molecular simulations.
  arXiv  Detail & Related papers  (2024-07-30T16:30:22Z)
• Quantum quench dynamics as a shortcut to adiabaticity [31.114245664719455]
  We develop and test a quantum algorithm in which the incorporation of a quench step serves as a remedy to the diverging adiabatic timescale. Our experiments show that this approach significantly outperforms the adiabatic algorithm.
  arXiv  Detail & Related papers  (2024-05-31T17:07:43Z)
• Bias-field digitized counterdiabatic quantum optimization [39.58317527488534]
  We call this protocol bias-field digitizeddiabatic quantum optimization (BF-DCQO) Our purely quantum approach eliminates the dependency on classical variational quantum algorithms. It achieves scaling improvements in ground state success probabilities, increasing by up to two orders of magnitude.
  arXiv  Detail & Related papers  (2024-05-22T18:11:42Z)
• Exploring Ground States of Fermi-Hubbard Model on Honeycomb Lattices with Counterdiabaticity [2.756976915658684]
  Shortcuts to adiabaticity by counter-diabatic driving serve to accelerate these processes by suppressing energy excitations. We develop variational quantum algorithms incorporating the auxiliary counterdiabatic interactions, comparing them with digitized adiabatic algorithms. These algorithms are then implemented on gate-based quantum circuits to explore the ground states of the Fermi-Hubbard model on honeycomb lattices.
  arXiv  Detail & Related papers  (2024-05-15T10:05:01Z)
• Feedback-based Quantum Algorithm Inspired by Counterdiabatic Driving [0.32985979395737786]
  We propose a protocol that uses ideas from quantum Lyapunov control and the counterdiabatic driving protocol. We apply our algorithm to prepare ground states in one-dimensional quantum Ising spin chains.
  arXiv  Detail & Related papers  (2024-01-27T05:41:32Z)
• Quantum Speedups in Regret Analysis of Infinite Horizon Average-Reward Markov Decision Processes [32.07657827173262]
  We introduce an innovative quantum framework for the agent's engagement with an unknown MDP. We show that the quantum advantage in mean estimation leads to exponential advancements in regret guarantees for infinite horizon Reinforcement Learning.
  arXiv  Detail & Related papers  (2023-10-18T03:17:51Z)
• Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity [5.666193021459319]
  We propose a fast and robust scheme to construct high-fidelity holonomic quantum gates for universal quantum systems via shortcuts to adiabaticity. Our scheme is readily realizable in physical system currently pursued for implementation of quantum computation.
  arXiv  Detail & Related papers  (2021-05-28T15:23:24Z)
• Information Scrambling in Computationally Complex Quantum Circuits [56.22772134614514]
  We experimentally investigate the dynamics of quantum scrambling on a 53-qubit quantum processor. We show that while operator spreading is captured by an efficient classical model, operator entanglement requires exponentially scaled computational resources to simulate.
  arXiv  Detail & Related papers  (2021-01-21T22:18:49Z)
• Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates with Two Dark Paths in a Trapped Ion [41.36300605844117]
  We show nonadiabatic holonomic single-qubit quantum gates on two dark paths in a trapped $171mathrmYb+$ ion based on four-level systems with resonant drives. We find that nontrivial holonomic two-qubit quantum gates can also be realized within current experimental technologies.
  arXiv  Detail & Related papers  (2021-01-19T06:57:50Z)
• Shortcuts to Adiabaticity in Digitized Adiabatic Quantum Computing [3.106630515217536]
  counter-diabatic (CD) driving provides a promising means to speed up quantum many-body systems. We show the applicability of CD driving to enhance the digitized adiabatic quantum computing paradigm in terms of fidelity and total simulation time. We implement this proposal in the IBM quantum computer, proving its usefulness for the speed up of adiabatic quantum computing in noisy intermediate-scale quantum devices.
  arXiv  Detail & Related papers  (2020-09-08T06:28:32Z)
• Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates\\ with Optimal Control in a Trapped Ion [38.217839102257365]
  We experimentally demonstrate nonadiabatic holonomic single qubit quantum gates with optimal control in a trapped Yb ion. Compared with corresponding previous geometric gates and conventional dynamic gates, the superiority of our scheme is that it is more robust against control amplitude errors.
  arXiv  Detail & Related papers  (2020-06-08T14:06:06Z)

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.