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Quantum superposition

As explained in Real-World Cryptography

Superposition is a quantum state in which a system combines multiple basis states before measurement.

Quantum superposition describes a state where a particle combines multiple possible basis states before measurement. An electron, for example, can be described as spinning up and down at the same time. Measurement ends the superposition: the particle collapses into one observed state. section 14.1.1

The idea becomes useful in a few linked steps:

  • Prepare a particle in a superposed state using a suitable technique. section 14.1.1
  • Keep the state unmeasured while it remains a combination of possible outcomes. section 14.1.1
  • Measure the particle, producing one possible result; for the illustrated two-state case, each result has a 50% chance. section 14.1.1
  • Use qubits and quantum gates to create, transform, and eventually measure superposed states as classical 0s and 1s. section 14.1.2

From a photon to a random number

A quantum random number generator repeatedly places particles such as photons into superposition and measures them. The unpredictable measurement result supplies truly random numbers. Quantum computers use the same general phenomenon differently: they process qubits before measurement, then interpret the measured 0s and 1s with a classical computer. section 14.1.1 section 14.1.2

How Real-World Cryptography covers it

How deep it goes
Defines superposition, explains measurement and randomness, and connects the idea to qubits without developing formal quantum mechanics.
Examples
Uses electron spin, photons in random number generators, qubits, and Schrödinger’s cat as explanatory examples.
What you can do after
Understand how superposition enables qubits, measurement-based randomness, and quantum computation.
How it connects
Connects quantum mechanics with measurement, qubits, quantum gates, entanglement, quantum computing, and quantum random number generators.

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Related concepts

This explainer was generated by Manning's knowledge graph from the text of Real-World Cryptography. The section links point to the parts of the book it draws on.