Attention to Quantum Complexity

Thanks to advances in quantum simulators, the complexity of quantum many-body state is no longer a subject only of theoretical musing. Instead, quantum complexity is an experimental reality we are fortunate enough to experience through large volumes of data. Now the challenge is how we navigate the forest of data that is overwhelmingly large but still never large enough to present a full picture of the quantum state in an exponentially large Hilbert space. I will discuss using different modalities of the attention mechanism on computational basis measurements to tackle the challenge in three different settings: (1) learning topological order from noisy data, (2) witnessing the entanglement transition, (3) learning the complexity of random quantum circuit data.