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MENTAL MODEL · M5015

Margolus-Levitin Theorem

Margolus-Levitin Theorem
SystemsHigh supportSystems Theory
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Updated 2026-08-03

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INTRODUCTION

English translation pending.

CORE DEFINITION

The Margolus-Levitin theorem, proved by Norman Margolus and Lev Levitin, gives the minimum time a quantum system needs to evolve into an orthogonal, and therefore distinguishable, state. That time is bounded below by a constant divided by the system's average energy above its ground state. The core claim is that computation is a physical process with an absolute speed limit set by energy, not merely by engineering skill. Key qualifications are that the bound is a limit rather than an achievable rate in every case, and that it complements the Mandelstam-Tamm bound rather than replacing it.

SCAFFOLDING EFFECT

psychology

Reduce cognitive load

- Respect the ceiling: treat energy, not engineering, as the ultimate limit on computation speed. - Compare the bounds: check both the Margolus-Levitin and Mandelstam-Tamm limits before claiming a rate. - Price the operation: estimate the minimum time for a state change from the system's energy.

anchor

Anchor fast decisions

A quantum state needs a certain amount of energy to rotate into a distinguishable configuration, and the more energy the system carries above its ground state, the faster that rotation can occur. The theorem turns this into a lower bound on the time required, so any operation faster than that limit is physically impossible regardless of the technology used. Because the bound depends on energy rather than on design, it sets a ceiling that engineering improvements can approach but never pass.

MINIMUM ACTION

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Source support: Explicit

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    en.wikipedia.orghttps://en.wikipedia.org/wiki/Quantum_speed_limitZH · Explicit
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