We work to **understand** collective quantum effects and this understanding enables us to **utilize** these same collective quantum effects in e.g. quantum enhanced machine learning software. Very generally, we call our topic, **quantum complexity science**.

Our approach forms a coherent, challenging and multidisciplinary research agenda, segmented as four interwoven *initiatives*.

Collective quantum effects can arise when at least one variable is unbounded and the system/problem exhibits an emergent property: such as an empirically exhibited—though not yet proven outside of the oracle model—exponential separation between quantum and stochastic computational processes. (*Here the unbounded variable would be the size of the problem instance.*)

The conceptual building blocks behind **quantum complexity science**—bottom arch: left **utilizing** and right **understanding** collective quantum effects.

**Deep Quantum Labs** is lead by Prof Jacob Biamonte and is proudly part of the Skolkovo Institute of Science and Technology—Skoltech—a unique English-speaking international graduate only research university. Established in collaboration with M.I.T., Skoltech integrates the best Russian scientific traditions with twenty-first century entrepreneurship and innovation.