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Related Experiment Videos

Synthesis of quantum superpositions by quantum computation

Grover1

  • 1Bell Labs, Lucent Technologies, 600-700 Mountain Avenue, Murray Hill, New Jersey 07974, USA.

Physical Review Letters
|September 16, 2000
PubMed
Summary

This study introduces a quantum algorithm that synthesizes specific superpositions. This quantum search algorithm extension efficiently creates desired quantum states using complex-valued functions.

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Area of Science:

  • Quantum computing
  • Quantum algorithms
  • Quantum information science

Background:

  • The quantum search algorithm synthesizes superpositions concentrated in a single basis state.
  • This state is defined by a binary function, nonzero only at the desired basis state.

Purpose of the Study:

  • To extend the quantum search algorithm.
  • To create arbitrarily specified superpositions on a space of size N.

Main Methods:

  • Extension of the quantum search algorithm.
  • Utilizing complex-valued functions to specify desired amplitudes.

Main Results:

  • An algorithm that can create any specified superposition.
  • Achieves this in O(sqrt[N]) steps for a space of size N.

Conclusions:

  • The generalized quantum search algorithm enables the creation of arbitrary quantum superpositions.
  • This provides a powerful tool for quantum information processing and quantum computation.

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