ABSTRACT:

Quantum computers are unlocking possibilities in science that were once thought beyond reach. While we are still exploring the full potential of these remarkable machines, their power is already helping to push the boundaries of what we know—and bringing tangible benefits to science and humanity.

In a joint study led by Algorithmiq, in collaboration with Trinity College Dublin and IBM Quantum, we use quantum computers to explores the behavior of quantum systems that exhibit chaotic dynamics [1]. This field is essential for understanding complex systems, the spread of information, and thermalization, with impacts on quantum computing, condensed matter physics, and even astrophysics.

Recently, dual unitary (DU) systems have garnered attention as rare, exactly solvable models that exhibit maximum chaos. These systems are "dual" because their unitarity holds in both time and space, allowing for the analytical computation of typically intractable properties, such as correlation functions. DU circuits serve as exceptional benchmarks for quantum simulations, helping us study critical phenomena like quantum scrambling, entanglement growth, and the decay of correlations—all fundamental to quantum chaos and many-body physics. Their analytic tractability also aids in designing and testing quantum algorithms for real-world applications.

In this talk, I will present how we leverage our own state-of-the-art error mitigation techniques (TEM) [2] to simulate the decay of auto-correlation functions in quantum chaotic many-body systems. These functions are vital for understanding transport properties, such as conductivity and diffusion, and for addressing fundamental questions in non-equilibrium quantum dynamics.

Our simulations achieved unprecedented accuracy on a cloud-based 127-qubit Eagle processor, using up to 91 active qubits and 91 entangling gate layers, amounting to over 60,000 gates and about 4,100 CNOT gates. This marks the largest-scale digital simulation of correlation functions in an interacting quantum many-body system to date. This breakthrough demonstrates that we can already benefit from this technology by advancing scientific understanding today.