quantum calculation

Clocks in the Universe are tricky things. Usually, in calculations of the birth of the world, a special scalar field plays the role of a clock — something like an invisible fluid filling all of space. It ticks, and physicists watch how the world changes relative to that ticking. But these clocks are man-made, introduced for convenience. The authors of the new work took a different path.

Strike a tuning fork with a mallet — it vibrates, and the sound gradually fades. A black hole behaves much the same way when disturbed: it emits gravitational waves — ripples in spacetime itself — and then settles down.

In the scorching heart of a dying star, an invisible stream is born — a neutrino gas. The particles race through matter almost without stopping, but when their density is enormous, they start to feel each other. Old calculations described this as a jostle in a crowd: each shove changes direction, but no connection arises between passersby.

The biggest puzzle in physics is how to reconcile spacetime curvature with quantum mechanics. At the Planck length, billions of billions times smaller than an atom, the rules break down. This frontier was discovered by Max Planck.

Two seemingly incompatible mathematical languages describe a single quantum reality. The first is the language of quantum walks: here, a particle (such as an electron or even a quasiparticle in a condensed medium) takes a stroll on a graph, simultaneously exploring all possible paths — much like a pedestrian in an unfamiliar city instantly finding…

In 2019, a group of theorists asked a simple question: what would happen if you embedded a single irreversible element into an ordinary quantum computer, a gate that slightly "eats" probability? The answer was devastating. Any such gate, no matter how weak, instantly turns the machine into a device capable of solving problems in the class PostBQP = PP.

At the hilltop of classical physics, a particle is frozen in unstable equilibrium. The slightest nudge — and it rolls down with increasing speed. In the quantum universe, no nudge is needed: the uncertainty principle itself acts as an all-pervading wind, blowing the particle off the peak.