Quantum algorithms exploit superposition and entanglement to perform tasks that can outstrip classical methods in specific domains. At the core lies the class BQP ...

The most widely used technique for finding the largest or smallest values of a math function turns out to be a fundamentally difficult computational problem. Many aspects of modern applied research ...

Reflecting great advances from the last decade, including sensor-based planning, probabalistic planning, and localization and mapping, this text makes the mathematical underpinnings of robot motion ...

Quantum computers promise speedups across a sweeping range of problems, from factoring large integers to simulating molecules ...

Early on in the study of quantum computers, computer scientists posed a question whose answer, they knew, would reveal something deep about the power of these futuristic machines. Twenty-five years ...