Two mathematicians have proved that a straightforward question—how hard is it to untie a knot?—has a complicated answer.

Quantum mechanics has at last been formulated exclusively with real numbers, bringing a mathematical puzzle at the heart of ...

The standard interpretation of a null state, or empty state, posits it as devoid of structure. This paper introduces a ...

Complex fractions are fractions where the numerator, denominator, or both contain fractions themselves. Evaluating complex ...

For the first time, a quantum computer has successfully measured pairing correlations (quantum signals that show electrons ...

Using the Helios-1 quantum computer, researchers have used a record-breaking number of error-proof qubits to run the first and biggest quantum simulation of a model for perfect conductivity ...

As telescopes have become more powerful, it’s turned out our solar system is not the only game in town: There are millions of ...

Quantum physicist Vlatko Vedral proposes a radical new vision of reality, one in which observers don’t exist, there are no ...