Collective neutrino oscillations on a quantum computer with hybrid quantum-classical algorithm

TL;DR

This paper demonstrates the simulation of collective neutrino oscillations on a quantum computer using optimized hybrid quantum-classical algorithms, addressing noise resilience and efficiency for NISQ devices.

Contribution

It introduces a generalized Trotter-Suzuki approximation for time-dependent Hamiltonians and optimizes quantum circuits with Cartan decomposition for better noise resilience.

Findings

Successful simulation of neutrino oscillations on quantum hardware

Optimized quantum circuits reduce CNOT gate count and noise impact

Hybrid algorithms improve efficiency on NISQ devices

Abstract

We simulate the time evolution of collective neutrino oscillations in two-flavor settings on a quantum computer. We explore the generalization of Trotter-Suzuki approximation to time-dependent Hamiltonian dynamics. The trotterization steps are further optimized using the Cartan decomposition of two-qubit unitary gates U $\in$ SU (4) in the minimum number of controlled-NOT (CNOT) gates making the algorithm more resilient to the hardware noise. A more efficient hybrid quantum-classical algorithm is also explored to solve the problem on noisy intermediate-scale quantum (NISQ) devices.