Quantum computing for neutrino-nucleus scattering

Abstract

Neutrino-nucleus cross section uncertainties are expected to be a dominant systematic in future accelerator neutrino experiments. The cross sections are determined by the linear response of the nucleus to the weak field of the neutrino, and are dominated by energy and distance scales of the order of the separation between nucleons in the nucleus. These response functions are potentially an important early physics application of quantum computers. Here we present an analysis of required resources and expected scaling for scattering cross section calculations. We also examine simple small-scale neutrino-nucleus models on modern quantum hardware. In this paper we use variational methods to obtain the ground state and then implement the relevant time evolution. In order to tame the errors in present-day NISQ devices we explore the use of different error-mitigation techniques to increase the fidelity of the calculations.

Ab Initio Study of (νℓ,ℓ−) and (ν¯<

“…Finally, factorization approaches can also be helpful in obtaining some information on exclusive final states. For more complete treatment of exclusive hadronic final states or of low-energy peaks in the threshold region of the response, quantum computers could play a role, given sufficient size and sufficiently low error rates [87,88].…”

Bootstrapping the deuteron

“…The corresponding bootstrap matrix is given by Eq. (10). For a given eigenenergy E 2 , the bootstrap matrix elements could be obtained by solving the following equations…”

“…Inspired by the huge success of artificial intelligence (AI), new variational methods based on artificial neural networks (ANNs) are put forward for few-nucleon systems, incorporating the latest advances in AI into conventional variational methods [3][4][5]. Also, lots of interests are stimulated in developing new theoretical methods on quantum devices, encouraged by the public accessibility of quantum computing clouds via the internet [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. These achievements enrich our tools to study nuclear systems.…”

Quantum entanglement, local indicators, and the effect of external fields in the Kugel-Khomskii model

“…Entanglement is one of the main manifestations of the quantum nature of the matter being intensively studied in connection with the development of quantum computers [1][2][3][4][5][6][7][8][9][10][11][12][13] The problem of entanglement has been studied in detail for nanosystems, especially for quantum dots [14]. Such systems are used for the design of quantum information processing systems.…”