Reaction dynamics with qubit-efficient momentum-space mapping

• URL: http://arxiv.org/abs/2404.00202v1
• Date: Sat, 30 Mar 2024 00:21:46 GMT
• Title: Reaction dynamics with qubit-efficient momentum-space mapping
• Authors: Ronen Weiss, Alessandro Baroni, Joseph Carlson, Ionel Stetcu,
• Abstract summary: We study quantum algorithms for response functions, relevant for describing different reactions governed by linear response. We consider a qubit-efficient mapping on a lattice, which can be efficiently performed using momentum-space basis states.
• Score: 42.408991654684876
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Description of quantum many-body dynamics is extremely challenging on classical computers, as it can involve many degrees of freedom. On the other hand, the time evolution of quantum states is a natural application for quantum computers, which are designed to efficiently perform unitary transformations. In this paper we study quantum algorithms for response functions, relevant for describing different reactions governed by linear response. We consider a qubit-efficient mapping on a lattice, which can be efficiently performed using momentum-space basis states. We analyze the advantages and disadvantages of this approach, focusing on the nuclear two-body system and a typical response function relevant for electron scattering as an example. We investigate ground-state preparation, controlled time evolution and the required measurements. We examine circuit depth and the hardware noise level required to interpret the signal.

Related papers

• Quantum Eigenvector Continuation for Chemistry Applications [57.70351255180495]
  We show that a significant amount of (quantum) computational effort can be saved by making use of already calculated ground states. In all cases, we show that the PES can be captured using relatively few basis states.
  arXiv  Detail & Related papers  (2023-04-28T19:22:58Z)
• A linear response framework for simulating bosonic and fermionic correlation functions illustrated on quantum computers [58.720142291102135]
  Lehmann formalism for obtaining response functions in linear response has no direct link to experiment. Within the context of quantum computing, we make the experiment an inextricable part of the quantum simulation. We show that both bosonic and fermionic Green's functions can be obtained, and apply these ideas to the study of a charge-density-wave material.
  arXiv  Detail & Related papers  (2023-02-20T19:01:02Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Quantum simulation of molecular response properties [4.520197015394451]
  We develop a quantum linear response (qLR) theory to calculate molecular response properties on near-term quantum computers. We show that response properties calculated using the qLR approach are more accurate than the ones obtained from the classical coupled-cluster based linear response models.
  arXiv  Detail & Related papers  (2023-01-16T04:53:16Z)
• Recompilation-enhanced simulation of electron-phonon dynamics on IBM Quantum computers [62.997667081978825]
  We consider the absolute resource cost for gate-based quantum simulation of small electron-phonon systems. We perform experiments on IBM quantum hardware for both weak and strong electron-phonon coupling. Despite significant device noise, through the use of approximate circuit recompilation we obtain electron-phonon dynamics on current quantum computers comparable to exact diagonalisation.
  arXiv  Detail & Related papers  (2022-02-16T19:00:00Z)
• Variational Quantum Computation of Molecular Linear Response Properties on a Superconducting Quantum Processor [20.69554086981598]
  We introduce a pragmatic variational quantum response (VQR) algorithm for response properties, which circumvents the need for deep quantum circuits. We report the first simulation of linear response properties of molecules including dynamic polarizabilities and absorption spectra on a superconducting quantum processor.
  arXiv  Detail & Related papers  (2022-01-07T12:24:03Z)
• Sampling, rates, and reaction currents through reverse stochastic quantization on quantum computers [0.0]
  We show how to tackle the problem using a suitably quantum computer. We propose a hybrid quantum-classical sampling scheme to escape local minima.
  arXiv  Detail & Related papers  (2021-08-25T18:04:52Z)
• 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)
• Expressibility and trainability of parameterized analog quantum systems for machine learning applications [0.0]
  We show how interplay between external driving and disorder in the system dictates the trainability and expressibility of interacting quantum systems. Our work shows the fundamental connection between quantum many-body physics and its application in machine learning.
  arXiv  Detail & Related papers  (2020-05-22T14:59:42Z)

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.