Quantum Simulation of Collective Neutrino Oscillations using Dicke States
- URL: http://arxiv.org/abs/2604.07452v1
- Date: Wed, 08 Apr 2026 18:00:06 GMT
- Title: Quantum Simulation of Collective Neutrino Oscillations using Dicke States
- Abstract summary: In dense neutrino gases, flavour states of different neutrinos may become entangled with one another.<n>Existing quantum simulations of simple toy systems are not optimal in the sense that they do not fully exploit the symmetries of the system.<n>We propose a new class of qubit-efficient algorithms based on Dicke states and the $su(2)$ spin algebra.
- Score: 0.5872014229110214
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In dense neutrino gases, which exist for instance in supernovae, the flavour states of different neutrinos may become entangled with one another. The theoretical description of such systems may therefore call for simulations on a quantum computer. Existing quantum simulations of simple toy systems are not optimal in the sense that they do not fully exploit the symmetries of the system. Here, we propose a new class of qubit-efficient algorithms based on Dicke states and the $su(2)$ spin algebra. We demonstrate the excellent performance of these algorithms both on classical and on quantum hardware.
Related papers
- Quantum Simulation of Two-Level $PT$-Symmetric Systems Using Hermitian Hamiltonians [0.0]
We present a method for simulating the quantum dynamics of $PT$-symmetric systems on unitary-gate-based quantum computers.<n>We introduce two algorithms for simulating $PT$-symmetric systems near exceptional points where eigenvalues and eigenstates coalesce.<n>We then use perturbation theory to extend this method to consider the dynamics of two weakly interacting $PT$-symmetric systems.
arXiv Detail & Related papers (2025-07-10T19:40:31Z) - Fourier Neural Operators for Learning Dynamics in Quantum Spin Systems [77.88054335119074]
We use FNOs to model the evolution of random quantum spin systems.
We apply FNOs to a compact set of Hamiltonian observables instead of the entire $2n$ quantum wavefunction.
arXiv Detail & Related papers (2024-09-05T07:18:09Z) - Classical Chaos in Quantum Computers [39.58317527488534]
Current-day quantum processors, comprising 50-100 qubits, operate outside the range of quantum simulation on classical computers.
We demonstrate that the simulation of classical limits can be a potent diagnostic tool potentially mitigating this problem.
We find that classical and quantum simulations lead to similar stability metrics in systems with $mathcalO$ transmons.
arXiv Detail & Related papers (2023-04-27T18:00:04Z) - Towards Neural Variational Monte Carlo That Scales Linearly with System
Size [67.09349921751341]
Quantum many-body problems are central to demystifying some exotic quantum phenomena, e.g., high-temperature superconductors.
The combination of neural networks (NN) for representing quantum states, and the Variational Monte Carlo (VMC) algorithm, has been shown to be a promising method for solving such problems.
We propose a NN architecture called Vector-Quantized Neural Quantum States (VQ-NQS) that utilizes vector-quantization techniques to leverage redundancies in the local-energy calculations of the VMC algorithm.
arXiv Detail & Related papers (2022-12-21T19:00:04Z) - Quantum simulation of quantum mechanical system with spatial
noncommutativity [0.0]
We demonstrate the quantum simulation of a quantum mechanical system with spatial noncommutativity.
We use the novel group theoretical formalism to map the Hamiltonian of such a noncommutative quantum system into the ordinary quantum mechanical Hamiltonian.
arXiv Detail & Related papers (2022-11-15T17:51:16Z) - Trapped-Ion Quantum Simulation of Collective Neutrino Oscillations [55.41644538483948]
We study strategies to simulate the coherent collective oscillations of a system of N neutrinos in the two-flavor approximation using quantum computation.
We find that the gate complexity using second order Trotter- Suzuki formulae scales better with system size than with other decomposition methods such as Quantum Signal Processing.
arXiv Detail & Related papers (2022-07-07T09:39:40Z) - 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) - Scalable Qubit Representations of Neutrino Mixing Matrices [0.0]
We introduce algorithms to encode mixing and oscillation of any number of flavor-mixed neutrinos, both with and without CP-violation.
Examples encoded for an IBM-Q quantum computer are shown to converge to analytic predictions both with and without CP-violation.
arXiv Detail & Related papers (2021-11-09T20:16:05Z) - Engineering analog quantum chemistry Hamiltonians using cold atoms in
optical lattices [69.50862982117127]
We benchmark the working conditions of the numerically analog simulator and find less demanding experimental setups.
We also provide a deeper understanding of the errors of the simulation appearing due to discretization and finite size effects.
arXiv Detail & Related papers (2020-11-28T11:23:06Z) - Quantum Assisted Simulator [0.0]
We provide a novel hybrid quantum-classical algorithm for simulating the dynamics of quantum systems.
Unlike existing variational quantum simulation algorithms, our algorithm does not require any classical-quantum feedback loop.
arXiv Detail & Related papers (2020-11-12T13:52:44Z) - Microcavity Polaritons for Quantum simulation [18.539798191994997]
We revisit some landmark experiments with polaritons in microcavities.
We highlight the richness of polariton systems to explore non-equilibrium physics.
arXiv Detail & Related papers (2020-05-26T08:37:22Z)
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.