Differential Evolution VQE for Crypto-currency Arbitrage. Quantum Optimization with many local minima

Understand

Crypto-currency markets are known to exhibit inefficiencies, which presents opportunities for profitable cyclic transactions or arbitrage, where one currency is traded for another in a way that results in a net gain without incurring any risk.

• Quantum computing has shown promise in financial applications, particularly in resolving optimization problems like arbitrage.
• In this paper, we introduce a differential evolution (DE) optimization algorithm for Variational Quantum Eigensolver (VQE) using Qiskit framework.
• We elucidate the application of crypto-currency arbitrage using different VQE optimizers.