principle

Landauer's principle

Landauer's principle asserts that erasing information has a minimum energy cost proportional to temperature.
13 related articles · 3 who worked here

Description

In 1961, Rolf Landauer, working at IBM, asked: do computations necessarily require energy? He showed that logically irreversible operations—primarily, erasing information—inevitably turn some energy into heat. This became a link between information theory and thermodynamics. The principle states: erasing one bit increases the system's entropy (measure of disorder) by at least k ln 2, corresponding to an energy release of k_B T ln 2. History breathes life into the formula: we cannot 'forget' information for free.

History

In 1961, Rolf Landauer published the paper 'Irreversibility and Heat Generation in the Computing Process', laying the foundation for information physics. The idea met resistance because many believed computations could in principle be done without energy cost. Later, in the 1970s, Charles Bennett showed that logically reversible computations could theoretically avoid this limit if information is not erased. The works of Landauer and Bennett formed the basis of modern reversible computing and quantum information theory.

How it works

Landauer's principle is used to calculate the absolute lower limit of energy consumption for computing devices. In modern processors, millions of times more energy per bit is used due to practical limitations, but as miniaturization progresses, this gap narrows. The principle's limitation: it holds only for irreversible erasure in the classical limit; for quantum systems, a generalization accounting for quantum effects is needed.

In practice

Defines the minimum energy for computation, setting a physical limit for processor and memory energy efficiency.

Fun fact

If a computer erased 10 billion bits per second, according to Landauer's principle, it would heat the room by only about 0.3 microwatts—thousands of times less than real chips, which are still far from the fundamental limit.

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Related articles · 13

Quantum Physics2026-08-092 minarXiv:2608.10027express
Thermal Computers: The Price of Precision
A conventional computer computes by shuttling electric charges along wires. But can you compute with heat? A network of pipes carrying hot and cold water can perform simple logic operations if the pipes are connected in the right order.
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.
Quantum Physics2026-08-061 minarXiv:2608.05753express
Why Redundant Records Generate Work
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.
HEP Theory2026-08-062 minarXiv:2608.05801express
A Black Hole as a Fussy Thermometer
A fussy thermometer shows different temperatures depending on who is looking at it. A black hole behaves much the same way: its thermal properties, entropy and temperature, depend on how we describe the information hidden inside.
HEP Phenomenology2026-08-052 minarXiv:2608.05282express
Hunting the Invisible: The Sensitivity Limit of Detectors
A hunter sets snares in the woods. They know the animal's habits but not whether it will ever show up. In much the same way, physicists set up detectors in hopes of catching particles of dark matter — the invisible substance thought to make up most of the Universe's mass. A new study offers hunters an unusual tool: not a trap, but a measuring tape.
Information — The Shadow of What Never Was
Erasing even a single bit means releasing heat. This discovery by Rolf Landauer hinted that information is neither material nor illusory. Imagine that every event casts a shadow: that is information, the collection of all unrealized possibilities.
HEP Theory2026-05-312 minarXiv:2606.01296express
Wormholes Between Theories: How to Compare Quantum Worlds
Every quantum system (whether an atom, a crystal, or the entire Universe) has its own set of allowed energies, like the steps of a ladder. The hotter the system, the more readily particles climb to higher rungs.
General Relativity2026-05-211 minarXiv:2605.22172express
How to Measure the Chaos of Spacetime Itself
Spacetime isn't a flat sheet, but a crumpled fabric: stars and planets leave creases on it. Information is written into every crease, and to erase it, heat would have to be released — that's how Landauer's principle works. Thus, the 'crumpledness' of space can be measured through entropy — the universal measure of disorder.
q-bio.QM2026-05-162 minarXiv:2605.16724express
How to Fish the Laws of Nature Out of Noise
A voice recorder captures a city square. You hear the hum of a crowd, footsteps, snatches of conversation, the rumble of traffic. Somewhere in that sonic stew, a street musician plays a simple tune on a flute. Hearing it isn't easy: there's just too much mixed together.
Quantum Physics2026-05-162 minarXiv:2605.17196express
Maxwell's Demon and the Quantum Guardian of Heat
In 1867, James Clerk Maxwell proposed an image that still stirs physicists today. Two compartments of gas are separated by a door. Molecules dart about chaotically: fast and slow. A tiny gatekeeper opens the door only for fast ones, letting them through to one side, and slow ones to the other. The hot compartment gets hotter, the cold one colder.
q-bio.QM2026-04-212 minarXiv:2604.19563express
Why DNA Copies Itself in a Wasteful Way
If you write down a protein recipe on a piece of paper and send it to a print shop, a typo in a single letter can ruin the whole batch.
Stellar2026-02-091 minarXiv:2602.08814express
Flare Temperatures Shift: A New Look at Stellar Energy
When a bright spot flares up on a star, astronomers want to know how much energy was released into space. They used to picture a flare as a growing campfire: the area of the fire increases, but the heat remains the same. That made calculations simpler, but reality turned out to be different.
Statistical Mech2026-02-061 minarXiv:2602.06560express
Friction Against Landauer's Limit
Erasing a single bit of information isn't free. In 1961, Rolf Landauer showed that at room temperature, it takes at least about 3 zeptojoules of energy — a tiny but nonzero amount. This limit was considered as ironclad as the conservation of energy. But what if you could give the system a little nudge?