A physics-based theory sheds new light on how AI's Attention mechanism works—and why it fails with hallucinations and bias.

“The Hamiltonian can often be fully described by some essential ... we can realize any unitary operation on this 11-qubit register by combining the above gate set,” Hou tells Physics World. “This ...

this time in mathematical physics. Nevertheless, he found the intensive study required to achieve such distinctions increasingly irksome because it gave him less time to pursue his growing interests ...

a theoretical physicist at the Institute for Theoretical Physics in Spain. “It’s almost better than you would imagine.” While we now have a quick and efficient way to calculate a system’s Hamiltonian ...

Over the last few decades it has grown from a small collection of insights into a dynamic area of research with deep connections to more areas of math and physics than Hamilton ever could have ...

Scully, a physics professor at Texas A&M University ... And if you put this into a Hamiltonian for the classical dynamics of particles, you get the Schrödinger equation. It's too bad that ...

Called Hamiltonian cycles, these pathways form a closed loop that you can trace without picking up your finger. Solving a Hamiltonian cycle for even one type of tiling is no small feat.