randomness

An ordinary random network is like a road map: to connect four cities with a complex interchange, you need to lay down many highways. In the quantum world, things are different.

In the quantum world, a fact becomes objective when its value is imprinted on many independent fragments of the environment, like a notice posted on hundreds of bulletin boards across the city. Each copy alone adds no new information, but it changes the rules of the game for anyone trying to erase that information.

A quantum computer is like a fragile snowflake resting on a warm palm. The slightest breath of heat or a gentle vibration, and it turns into a droplet. To keep the snowflake alive, you constantly adjust it, restoring its original shape. That's quantum error correction.

A cloud service dishes out commands to a drone swarm without any knowledge of their movements. The signals are encrypted, but each maneuver leaves a barely visible trace in the cipher, like ink bleeding through paper from the pressure of a pen. Over time, these ink stains coalesce into a pattern, and the hidden data is no longer a secret.

Crystals fascinate us with their perfect spatial order: atoms frozen at lattice points, like beads on an invisible string. But what if the same symmetry unfolds in time? Time crystals are systems that, without any external cue, start repeating their states cyclically — clocks wound by nature itself. Inside this tireless rhythm, disorder seems to have no place.

Picking out a single faulty microchip from a million, without any clue what the fault looks like, is a classic needle-in-a-haystack problem. A classical computer would test each chip one by one.

Imagine a library where instead of books, you have every conceivable combination of a few dozen quantum particles. The number of combinations grows like a snowball: add one particle, and the volume doubles. For fifty particles, there are more shelves than atoms in the visible universe.

The quantum world is known for uncertainties: for example, you can't measure a particle's position and its speed at the same time. But new research shows that in a 'fuzzy' spacetime, even probability itself — the measure of chance — loses sharpness. A foggy compass doesn't give an exact direction: its needle wavers.

The quantum world is usually drawn with points, but real instruments only see blurry spots. Heisenberg and von Neumann long suspected: precision is unattainable.

Throw a stone into a pond, and ripples spread across the water. Throw two stones nearby, and the ripples intersect, creating a pattern of reinforced and canceled waves. That's interference.

In particle physics, it has long been taken for granted that the forces of nature (electromagnetism, the weak and strong interactions) obey a strict symmetry called gauge symmetry. It's like a set of rules by which particles exchange force carriers. But where do the rules themselves come from?

Three people sit in three corners of a room. Each receives a sealed envelope from an invisible courier, but the couriers do not coordinate and have never met. The people open the envelopes and see a note with one word: "yes" or "no." They choose nothing themselves: they just read.

Quantum entanglement is like an invisible web that connects particles even when they are far apart. In large systems (say, a piece of material) this web can either quickly weave through all the atoms or tangle into a knot and stay put. The first case is called quantum chaos, the second localization.

A bell struck by a hammer hums softer and softer. Its ring fades smoothly, like ripples on water after a stone is tossed in. A black hole behaves much the same way after colliding with another hole: it shudders, and those shudders, gravitational waves, fly off into space, gradually weakening.

A laser that usually produces a steady beam starts to tremble near its threshold, like a string about to sound. This trembling is not a defect but quantum noise: atoms inside the laser emit light randomly, without any external cause.

A laser beam strikes a gold-and-silver film for just a few nanoseconds — in that time, light travels less than a meter. At the point of impact, the metal boils, splatters, and freezes into a random pattern of tiny particles. Each pattern is as unique as cracks in ice or tree branches.

In the quantum world, you cannot create a copy of an unknown particle's state – this was established by William Wootters and Wojciech Zurek in 1982, and Charles Bennett turned this prohibition into a data protection tool.

A coin toss seems random, but in reality, physics decides everything: the force of the throw, air resistance, the surface's elasticity. If you knew all the details, you could predict the outcome. True randomness lives deeper — in the quantum world.

A tossed coin is the simplest source of randomness. But if the coin is shaved, it starts cheating. In the quantum world, light plays the role of the coin: its properties are fundamentally unpredictable. The catch is that the device that “flips” the quantum coin might be faulty or even swapped by an adversary.

Optical fiber transmits light, but along the way it jitters and dims. To ensure that two parties at opposite ends of the line get the same set of random numbers for encryption, the receiver uses a digital corrector, like noise-canceling headphones that subtract the street hum but sometimes also eat the quiet notes of the music.

The quantum world is full of surprises: even simply observing a particle changes its behavior. In a new study, physicists showed that continuously measuring energy can make quantum chaos more pronounced. They used a quantity that indicates how long a quantum state remains similar to itself under repeated measurements.

According to the laws of physics, nothing can outrun light, otherwise for some observers the effect would occur before the cause. Artur Ekert and Andrzej Dragan showed that this situation creates an uncertainty resembling quantum indeterminacy.

On a table lies a handful of round magnets. As long as no one touches them, they lie in disarray. But send a short current pulse through them, and each disk flips: the north pole swaps with the south. Neighboring disks push each other with their fields, like people in a crowded queue, and the whole handful arranges into a pattern that depends on which way the magnetic wind blew and how warm it is around.

A light pulse can be sliced into short time bins, like a train into carriages. If two photons are born together and their carriages are tightly linked, the arrival of one in a specific bin guarantees that the other arrives in the paired bin, this connection is called time-bin entanglement.

A quantum computer is like an exquisite dish. There are recipes for ordinary kitchens, but special quantum states are secret ingredients that turn the dish into a masterpiece. One of them is 'magic'. The term was coined by John Preskill in 2018.

A quantum particle quantum particle can exhibit backward motion even if its overall direction is forward. Imagine a river: the main current rushes toward the mouth, but individual currents suddenly swirl and momentarily dart against the flow, creating local disorder.

Modern encryption is unthinkable without truly random numbers. But a standard source can be unreliable or even deliberately corrupted. The solution came from experimenters who built a 98-ion quantum processor: it works like a high-speed filter, turning a 'dirty' signal into one that's crystal-clear and unpredictable.

In September 2024, the concert hall in Linz had more than just an orchestra on stage. Next to the musicians, a setup was generating pairs of entangled photons: a laser with a wavelength of 405 nm passed through a nonlinear crystal and split into two photons at 810 nm, which flew off to two measurement stations, Alice and Bob.

In an empty concert hall, two musicians play a single part. First the violin, then the cello, or the other way around. It has always been this way: every note has its place in time, its own "earlier" and "later." But what if an orchestra could play both versions at once, in a quantum superposition of two orders?

Strike a gong and the sound fades in layers: the low hum lingers longer, the high overtones vanish first, leaving silence behind. So too a qubit, living its quantum life, leaves not one but three echoes of its own past.

Quantum walking is not a series of random steps, but a musical score where the piano of space sounds under the conductor's baton of the internal state. The coin sets the tone. Until now, it was believed that detuned keys (phase disorder) mute any melody, leading to Anderson localization — a ringing silence.