concept

quantum information

Quantum information is the encoding and processing of data using quantum states like superposition and entanglement.
1 related articles · 2 formulas · 6 who worked here

Description

Quantum information studies methods of encoding, transmitting, and processing data using quantum systems. Unlike classical information, quantum information cannot be arbitrarily copied (no-cloning theorem) and can be compressed in new ways. The main resources are superposition and entanglement. They allow the implementation of algorithms that have no classical analogs in efficiency, for example, integer factorization (Shor's algorithm) and database search (Grover's algorithm). Quantum entanglement also provides absolutely secure key distribution (BB84 protocol).

History

The origin of the field is associated with the analysis of the EPR paradox and Bell's inequalities (1964), which pointed to the nonclassical nature of quantum correlations. In 1981, Feynman proposed using quantum systems to simulate physics. David Deutsch in 1985 described a universal quantum computer and introduced the concept of quantum parallelism. The explosion of interest was sparked by Shor's algorithm (1994) for factorization and the discovery of quantum error-correcting codes (Shor, Steane, 1995–96). Since the 2000s, experiments on ion traps and superconducting circuits have begun.

How it works

A quantum computer operates on the state of a register of N qubits, which is a superposition of 2^N basis states. The computation is specified by unitary evolution (quantum gates) that uses interference to amplify the amplitudes of correct answers and suppress incorrect ones. The states are measured at the end, yielding a result with a probability given by the Born rule. Entanglement provides nonlocal correlations, allowing, for example, in teleportation to transfer a quantum state using a previously distributed entangled pair and two classical bits. The superposition principle and interference are the basis for the speedup. The difficulty is that interaction with the environment causes decoherence, destroying quantum properties.

In practice

Quantum computers crack modern ciphers in minutes, and in the future will be able to design drugs by simulating molecules.

Fun fact

The no-cloning theorem states that it is impossible to create an identical copy of an arbitrary unknown quantum state — nature sets a limit on copying.

Concept graph →

Formulas

$$I(A;B) = S(A) + S(B) - S(A \cup B)$$
Mutual information quantifies shared information between two subsystems.
What is in the formula
I(A;B)variableMutual information between subsystems A and B — mutual information bit
S(A)variableEntropy of subsystem A — entropy bit
S(B)variableEntropy of subsystem B — entropy bit
S(A ∪ B)variableEntropy of the combined system A and B — entropy bit
∪operatorCombines the two subsystems into one joint system — set union
s_d=s(a)+s(b)-s(a\cupb)-s(a\capb) · 2606.25653
$$\Psi = \int \mathcal{D}\phi\, e^{iS[\phi]/\hbar}$$
Quantum amplitude is sum over histories with phase from action.
What is in the formula
Ψvariablequantum amplitude (transition amplitude or wavefunction) — probability amplitude varies
φvariablefield configuration (path variable) — field varies
S[φ]variableaction functional of the field configuration — action joule second
ℏconstantSets the scale of quantum fluctuations — reduced planck constant = 1.054571817e-34 joule second
∫ 𝒟φoperatorsums over all possible histories of the field — functional integral
\psi(b,t)=\intdφa(φ)e^{i(p(b;φ,m)-φt)} · 2606.02514v1

Related articles · 243

Quantum Physics2026-08-191 minarXiv:2608.18666express
Quantum Communication on 16 Parallel Channels
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Black hole on a chip: how a quantum processor played the role of an information maze
A black hole is a maze with no way out. But what happens to the information inside? To test this, physicists didn't fly to the nearest hole; instead, they built a tiny replica on a quantum processor. The maze was played by a chain of 32 superconducting qubits, where each step leads only forward, like a one-way corridor.
Atomic Physics2026-08-181 minarXiv:2608.17807express
Memory from a Cesium Vapor
A beam of light enters a glass cell filled with cesium vapor and changes the internal state of the atoms: this is how information is recorded. A moment later, another beam reads it out by how the atoms absorb light. It's not a hard drive, but rather a notebook that turns its own pages. Eight such "pages" are created by an acousto-optic deflector — a device that bends light with sound.
Quantum Physics2026-08-161 minarXiv:2608.15795express
Complex quantum system revealed through small parts
Quantum systems made of many particles are the basis of future computers and secure networks. But the more particles there are, the harder it is to understand how they are arranged: the number of possible states grows like an avalanche. The usual approach, measuring everything, takes an incredibly long time.
Quantum Physics2026-08-162 minarXiv:2608.15870express
The Quantum Channel That Won't Give Up
In 1996, physicists asked: how much noise can a quantum channel withstand before it stops transmitting information? A phone call where every third word is replaced by random noise is still understandable. Up to what level of interference can the listener still grasp the meaning?
Quantum Physics2026-08-152 minarXiv:2608.15173express
A Quantum Computer That Rewrites Its Program on the Fly
A quantum computer is like an orchestra where each instrument is a qubit and the conductor is the control processor. The conductor must not only set the tempo but also change the score on the fly if a soloist plays something unexpected.
Statistical Mech2026-08-142 minarXiv:2608.13855express
The Quantum Computer as a Dating Pool
A quantum computer isn't just a bunch of qubits: it's a whole city, where each resident is one of the machine's possible states. Residents get to know each other through weak interactions between qubits: if one state can transition to another, a thread of acquaintance is drawn between them.
Nuclear Theory2026-08-121 minarXiv:2608.12120express
The Quantum Thread Between Nuclear Fragments
When a heavy atomic nucleus splits into two fragments, an invisible quantum thread remains between them. This thread is entanglement: the state of one fragment is instantly linked to the state of the other, as if they were still a single whole. For the first time, physicists have precisely calculated how long and strong such a thread can be, tracing the fission process step by step.
Quantum Physics2026-08-111 minarXiv:2608.10663express
Quantum Bridge Between Nodes
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.
Quantum Physics2026-08-102 minarXiv:2608.09346express
A Light Filter That Doesn't Lose the Details
A short flash of light is like a musical phrase: you can distinguish individual notes if you listen very carefully. But in the quantum world, these 'notes'—temporal modes — are squeezed down to picoseconds, and ordinary optics can barely tell them apart.
Quantum Physics2026-08-102 minarXiv:2608.09583express
The Noise That Helps Fix Errors
A quantum computer is like an orchestra where each musician, a qubit, plays their part but keeps hitting wrong notes. To keep the music from turning into cacophony, you need a conductor who instantly hears the off-key notes and corrects them.
Quantum Physics2026-08-102 minarXiv:2608.09727express
Magic States: How Distillation Makes Quantum Computers Reliable
A washing machine sometimes tears clothes. To get a whole shirt, you wash several and then piece one together from the survivors. A quantum computer treats 'magic states'—special ingredients without which complex computations are impossible — in much the same way. These states are extremely fragile. The slightest noise, and the magic evaporates.
Quantum Physics2026-08-101 minarXiv:2608.09850express
Quantum systems and threads of memory
A drop of ink in a glass of water spreads in intricate swirls. Similarly, a quantum particle exchanging energy with its environment changes its state in a complex and entangled manner. Describing this dance between particle and environment has long baffled scientists.
Quantum Physics2026-08-091 minarXiv:2608.08836express
One Copy Won't Brew, Two Already Will
Coffee beans alone don't make a drink, but take two, and the cup fills. In the quantum world, there are similar states: from one copy, you can't extract pure entanglement, but from several, sometimes you can. For a long time, it wasn't known if such a thing existed at all. Scientists took a family of states specifically designed as a testing ground for this question.
Quantum Physics2026-08-062 minarXiv:2608.05535express
A Quantum Channel Like a Muddy River
Alice prepares a quantum particle in one of several states and sends it to Bob. The channel the particle travels through isn't perfect: it's noisy, scatters, interacts with the environment. Bob receives the signal and tries to figure out what Alice actually sent. This is the classic "prepare-send-measure" scheme, and there's always a risk of losing something along the way.
Disordered Systems2026-08-051 minarXiv:2608.04762express
Three Fates of Quantum Echo
The quantum world does not forgive forgetfulness. Throw a stone into a pond — the ripples spread and vanish, the information about the impact dissipates without a trace. In quantum mechanics, everything is different: the evolution of a system is reversible, and the past is never completely erased.
Strongly Correlated2026-08-052 minarXiv:2608.05140express
Exotics That Come Easier
In the world of quantum particles, there are introverts — anyons. They are unlike familiar electrons or protons. If you swap two such introverts, they remember the maneuver, as if leaving an invisible trace.
Quantum Physics2026-08-042 minarXiv:2608.03944express
Quantum Protection vs. Classical Memory
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.
Quantum Physics2026-08-041 minarXiv:2608.04290express
Quantum Simulator on Fleeting Qubits
A quantum computer is usually like an assembly line: operations proceed one after another, and each error accumulates. In the new work, physicists tried a different path — an architecture where the computation grows out of the measurement process itself. They took 56 ions in a trap and wove them into a three-dimensional cloud of entangled particles.
Quantum Physics2026-08-032 minarXiv:2608.02773express
A Quantum Code That Isn't Afraid of Errors
A quantum computer is like an orchestra where each musician-qubit easily loses the rhythm. The slightest noise, and the melody of computation turns into cacophony. To keep the orchestra playing in harmony, you need a conductor who instantly spots wrong notes and corrects them without stopping the performance.
Quantum Physics2026-08-022 minarXiv:2608.01111express
A Quantum Cat on Guard for Computing
A quantum computer based on neutral atoms is like a city where couriers, laser tweezers, physically carry packages between addresses. While one courier drags an atom across the entire chip, the others sit idle. This is slow and error-prone. The new architecture replaces couriers with a shared radio wave.
Quantum Physics2026-07-312 minarXiv:2607.29582express
Quantum First Aid for Power Grids
An electrical grid stuffed with power electronics resembles a huge orchestra without a conductor. Each converter, each line adds its own note, and sometimes the instruments start playing out of tune.
Quantum Physics2026-07-311 minarXiv:2607.29609express
Quantum Translator: From Atomic Language to Fiber-Optic
The quantum networks of the future resemble the Tower of Babel: each node speaks its own dialect. Some store information in the polarization of a photon — the direction of oscillation of the light wave. Others use time bins: that is, when exactly the pulse arrives.
Quantum Physics2026-07-261 minarXiv:2607.23773express
How to Tell a Tangled Ball from a Thread
The quantum world is full of strange connections. Two particles can become “entangled”: the state of one instantly affects the other, even if they are kilometers apart. But how do you know if they are truly entangled? It's like a ball of yarn: at first glance, you can't tell whether it's a single tangled ball or just a mess of loose threads.
Quantum Physics2026-07-182 minarXiv:2607.16645express
A Battery with Character: The Geometry of Energy Delivery
Any battery, from a AA to a quantum one, is simple in principle: there's a store of energy, and there's a way to get it out. In the quantum world, this 'way' looks like a careful switching between particle states, akin to moving a ball from a high shelf to a low one.
Quantum Physics2026-07-122 minarXiv:2607.10707express
Quantum Error Correction Learns on the Fly
A quantum computer is like an orchestra where each musician is a fragile qubit. The slightest noise, and the melody falls out of tune. To keep the harmony, you need a conductor who instantly hears the false notes and brings the instruments back into line.
cs.SE2026-07-112 minarXiv:2607.10347express
Quantum System Confuses Blueprints, but Engineers Don't
Quantum devices are no longer lab curiosities. They are assembled, tuned, and repaired like ordinary hardware — except inside them, it's not just current but intricate tangles of particles that can exist in multiple states at once. Engineers draw schematics, programmers write code, physicists calculate effects.
Quantum Physics2026-07-101 minarXiv:2607.09875express
Quantum Dance of Entanglement and Magic
A quantum computer relies on two forces: entanglement (particles behaving as a single whole) and "magic"—a measure of how far a state is from familiar classical physics. But how these two resources relate as a many-particle system evolves in time has remained a puzzle. The authors approached the problem through time.
Quantum Physics2026-07-091 minarXiv:2607.08634express
Molecular Qubits: Long Memory at Room Temperature
At the heart of a future quantum computer might lie a tiny organic molecule shaped like a triangle. It has two 'extra' electrons that don't pair up. Such molecules are called diradicals, and their electrons can store information in a special, quantum way.
Quantum Physics2026-07-072 minarXiv:2607.06404express
Quantum Code, Carbon Copy
A quantum computer is like an orchestra without a conductor: each qubit is a musician, and the slightest slip throws off the entire symphony. To keep the music from turning into cacophony, quantum error-correcting codes were invented.
Quantum Physics2026-07-072 minarXiv:2607.06718express
Quantum Physics2026-07-042 minarXiv:2607.03982express
A Recipe for Quantum Experiments: Don't Forget a Thing
A quantum computer is like a finicky musical instrument: the slightest change in temperature, humidity, or string tuning, and the melody sounds different.
Materials2026-07-032 minarXiv:2607.03208
Symphony of Scrap Metal: How a Quantum Conductor Creates the Perfect Alloy
A metallurgical workshop piled high with aluminum scrap looks like an orchestra out of tune before a concert: each instrument is off-key in its own way. Offcuts of airplane wings, crushed cans, shavings from milling machines: each 'instrument' has its own metallicity, nonlinearly influencing the final 'melody' of strength and thermal conductivity.
Mesoscale2026-07-023 minarXiv:2607.02188
Quantum Fingerprint: Anyon Entropy Reveals Their Topological Nature
The hunt for non-Abelian anyons is a quest for a quantum ghost that leaves only one clue: entropy. These particles live in two-dimensional systems at ultralow temperatures. Their exchange doesn't just flip the sign of the wavefunction — it entangles states, creating topological order.
Dancing on a Carbon Thread: A Diamond Qubit with Millisecond Memory
Building a quantum network node is like teaching a dancer to balance on a carbon thread over an abyss. One leg must spring lightly from the wire, hurling photon-messengers into the external world. The other must grip the rope tightly, guarding precious quantum information.
Quantum Physics2026-07-011 minarXiv:2607.01422express
Quantum Computer Learns to Play Without a False Note
Quantum computing suffers from 'false notes' — errors that arise from the slightest inaccuracy. Now they are eliminated with the precision of tuning a concert grand piano. The idea traces back to the dreams of pioneers — David Deutsch and Peter Shor — of flawless operations.
Quantum Physics2026-06-271 minarXiv:2606.28701express
How a Quantum Computer Evaluates Financial Risks
A complex financial contract is like a wager: the payout depends on exchange rates and accrued interest. Physicists would call this uncertainty entropy — a measure of the spread of possible outcomes. To assess the risk, you need to run through all scenarios, like finding every trap-filled dead end in a vast maze.
Mesoscale2026-06-273 minarXiv:2606.28935
An Optical Switch for a Quantum Choir of Phonons
In the depths of a diamond crystal, studded with NV centers, a symphony slumbers. Each defect is like a tuning fork, ready to respond to a passing acoustic wave. But alone, their voices are barely audible: the spin-phonon coupling is weaker than a whisper. A maestro is needed, one who can turn timid vibrations into a resounding choir.
Hybrid Intelligence: Quantum Hearing Distinguishes Topological Phases
Once Richard Feynman saw in quantum systems a challenge for classical computers. Now we face the inverse problem: understanding what exactly the quantum processor has simulated. Among the states it births are veritable 'black boxes'—topological phases of matter.