Accurate predictions of inclusive scattering cross sections in the linear response regime require efficient and controllable methods to calculate the spectral density in a strongly-correlated many-body system. In this work we reformulate the recently proposed Gaussian Integral Transform technique in terms of Fourier moments of the system Hamiltonian which can be computed efficiently on a quantum computer. One of the main advantages of this framework is that it allows for an important reduction of the computational cost by exploiting previous knowledge about the energy moments of the spectral density. For a simple model of medium mass nucleus like Ca-40 and target energy resolution of 1 MeV we find an expected speed-up of approximate to 125 times for the calculation of the giant dipole response and of approximate to 50 times for the simulation of quasi-elastic electron scattering at typical momentum transfers.

Faster spectral density calculation using energy moments / Hartse, Jeremy; Roggero, Alessandro. - In: THE EUROPEAN PHYSICAL JOURNAL. A, HADRONS AND NUCLEI. - ISSN 1434-6001. - 59:3(2023), p. 41. [10.1140/epja/s10050-023-00952-6]

Faster spectral density calculation using energy moments

Alessandro Roggero
2023-01-01

Abstract

Accurate predictions of inclusive scattering cross sections in the linear response regime require efficient and controllable methods to calculate the spectral density in a strongly-correlated many-body system. In this work we reformulate the recently proposed Gaussian Integral Transform technique in terms of Fourier moments of the system Hamiltonian which can be computed efficiently on a quantum computer. One of the main advantages of this framework is that it allows for an important reduction of the computational cost by exploiting previous knowledge about the energy moments of the spectral density. For a simple model of medium mass nucleus like Ca-40 and target energy resolution of 1 MeV we find an expected speed-up of approximate to 125 times for the calculation of the giant dipole response and of approximate to 50 times for the simulation of quasi-elastic electron scattering at typical momentum transfers.
2023
3
Hartse, Jeremy; Roggero, Alessandro
Faster spectral density calculation using energy moments / Hartse, Jeremy; Roggero, Alessandro. - In: THE EUROPEAN PHYSICAL JOURNAL. A, HADRONS AND NUCLEI. - ISSN 1434-6001. - 59:3(2023), p. 41. [10.1140/epja/s10050-023-00952-6]
File in questo prodotto:
File Dimensione Formato  
2211.00790.pdf

accesso aperto

Tipologia: Pre-print non referato (Non-refereed preprint)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 610.14 kB
Formato Adobe PDF
610.14 kB Adobe PDF Visualizza/Apri
s10050-023-00952-6.pdf

accesso aperto

Tipologia: Versione editoriale (Publisher’s layout)
Licenza: Creative commons
Dimensione 708.54 kB
Formato Adobe PDF
708.54 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/387893
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 2
social impact