Trapped-Ion Quantum Simulation of Collective Neutrino Oscillations
arXiv:2207.03189 · doi:10.1103/PhysRevD.107.023007
Abstract
It is well known that the neutrino flavor in extreme astrophysical environments changes under the effect of three contributions: the vacuum oscillation, the interaction with the surrounding matter, and the collective oscillations due to interactions between different neutrinos. The latter adds a non-linear contribution to the equations of motion, making the description of their dynamics complex. In this work we study various strategies to simulate the coherent collective oscillations of a system of N neutrinos in the two-flavor approximation using quantum computation. This was achieved by using a pair-neutrino decomposition designed to account for the fact that the flavor Hamiltonian, in the presence of the neutrino-neutrino term, presents an all-to-all interaction that makes the implementation of the evolution dependent on the qubit topology. We analyze the Trotter error caused by the decomposition demonstrating that the complexity of the implementation of time evolution scales polynomially with the number of neutrinos and that the noisy from near-term quantum device simulation can be reduced by optimizing the quantum circuit decomposition and exploiting a full-qubit connectivity. 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. We finally present the application and the results of our algorithm on a real quantum device based on trapped-ions qubits.
arXiv commentUpdated version accepted for publication
References in corpus (46)
- Efficient classical simulation of slightly entangled quantum computations
- Explosion Mechanisms of Core-Collapse Supernovae
- Hamiltonian Simulation by Qubitization
- Optimal Hamiltonian Simulation by Quantum Signal Processing
- Collective Neutrino Oscillations
- Demonstration of the trapped-ion quantum-CCD computer architecture
- A Theory of Trotter Error
- Simulation of Coherent Non-Linear Neutrino Flavor Transformation in the Supernova Environment I: Correlated Neutrino Trajectories
- Optimal Quantum Circuits for General Two-Qubit Gates
- Entropy scaling and simulability by Matrix Product States
- Low-cost error mitigation by symmetry verification
- Virtual Distillation for Quantum Error Mitigation
- Collective neutrino flavor conversion: Recent developments
- Coherent Development of Neutrino Flavor in the Supernova Environment
- Neutrino-Neutrino Scattering and Matter-Enhanced Neutrino Flavor Transformation in Supernovae
- Standard Model Physics and the Digital Quantum Revolution: Thoughts about the Interface
- Faster quantum simulation by randomization
- Neutrino Mixing and Nucleosynthesis in Core-Collapse Supernovae
- Flavor oscillations in the supernova hot bubble region: Nonlinear effects of neutrino background
- Quantum Algorithms for Simulating the Lattice Schwinger Model
- Invariants of Collective Neutrino Oscillations
- Digital Quantum Simulation of the Schwinger Model and Symmetry Protection with Trapped Ions
- Fast neutrino conversions: Ubiquitous in compact binary merger remnants
- Bimodal Coherence in Dense Self-Interacting Neutrino Gases
- Quantum Computing for Neutrino-nucleus Scattering
- Faster Digital Quantum Simulation by Symmetry Protection
- Simulation of Collective Neutrino Oscillations on a Quantum Computer
- Matter-enhanced antineutrino flavor transformation and supernova nucleosynthesis
- Entanglement and collective flavor oscillations in a dense neutrino gas
- Concentration for random product formulas
- The MSW effect and Matter Effects in Neutrino Oscillations
- Preparation of excited states for nuclear dynamics on a quantum computer
- ADAPT: Mitigating Idling Errors in Qubits via Adaptive Dynamical Decoupling
- Basic Elements for Simulations of Standard Model Physics with Quantum Annealers: Multigrid and Clock States
- Entanglement and Many-Body effects in Collective Neutrino Oscillations
- Exact solution of multi-angle quantum many-body collective neutrino flavor oscillations
- Constraints on Neutrino Mixing
- Spectral splits and entanglement entropy in collective neutrino oscillations
- Hybridized Methods for Quantum Simulation in the Interaction Picture
- Neutrino Spectral Split in the Exact Many Body Formalism
- Dynamical Phase Transitions in models of Collective Neutrino Oscillations
- Entanglement and correlations in fast collective neutrino flavor oscillations
- Collective neutrino oscillations with tensor networks using a time-dependent variational principle
- Classical and Quantum Evolution in a Simple Coherent Neutrino Problem
- Many-body effects of collective neutrino oscillations
- Liouville term for neutrinos: Flavor structure and wave interpretation