Probing critical states of matter on digital quantum computers

I will describe Quantinuum’s trapped ion QCCD quantum computers, with a particular focus on the key technical challenges and solutions for realizing mid-circuit measurement and reuse of qubits. In addition to the importance these capabilities play in quantum error correction, they also afford remarkable efficiencies in simulating many-body physics, enabling explorations of physics at length scales well beyond the limits that would be naively guessed from the size of present-day quantum computers. I will discuss recent work utilizing quantum implementations of hierarchical tensor networks to represent critical ground states of spin chains on Quantinuum’s H1 series quantum computers, demonstrating that current quantum computing hardware is already capable of extracting accurate estimates of critical properties of infinite systems.