GPUs are wonderful for running energy minimization algorithms where a system relaxes to a low energy state to solve a problem. The 13 PF/s Titan Deep-learning teaching code is a compelling example of this ability. Similarly, Quantum Computing solves a problem (like RSA encryption) by having a quantum system relax to a low energy state. Google has created a WebGL Chrome Experiment that utilizes a GPU to accelerate the simulation of a quantum computer in your WebGL-enabled browser (like Chrome). The Quantum Computing Playground is provides a simple IDE interface, its own scripting language with debugging, and 3D quantum state visualization features. Quantum Playground can efficiently simulate quantum registers up to 22 qubits, run Grover’s and Shor’s algorithms, and has a variety of quantum gates built into the scripting language itself.
More about Quantum Computing can be seen in this high-level video