The original version of this story appeared in Quanta Magazine. Hard problems are usually not a welcome sight. But cryptographers love them. That’s because certain hard math problems underpin the ...

The original version of this story appeared in Quanta Magazine. In 1974, five years before he wrote his Pulitzer Prize–winning book Gödel, Escher, Bach: An Eternal Golden Braid, Douglas Hofstadter was ...

A hundred years ago this week, at the height of the quantum revolution, Austrian physicist Erwin Schrödinger submitted a ...

A team of theoretical researchers has found duality can unveil non-invertible symmetry protected topological phases, which ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

John von Neumann came about as close as humanly possible to embodying the Platonic ideal of a genius. Conversant in ancient Greek by age 6, the Hungarian made significant mathematical advances in his ...

For nearly a century, some of the simplest questions in quantum theory have stubbornly resisted clean answers, turning basic ...

An array of 15,000 qubits made from phosphorus and silicon offers an unprecedentedly large platform for simulating quantum ...

Photo of the experimental setup to couple MWs to N- 𝑉⁢s using grape dimers. A stripped optical fiber with N- 𝑉 spins, cantilevered from a rod, lies between two grapes. The grapes were positioned on ...

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To alumnus Gal Weitz (EngrPhys, ApMath’22), Boulder was a “dream destination” for undergrad. Now working in quantitative finance, Weitz shares how his education at CU Boulder set him up for success in ...