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Related Experiment Videos

Conservative quantum computing.

Masanao Ozawa1

  • 1Graduate School of Information Sciences, Tôhoku University, Aoba-ku, Sendai 980-8579, Japan.

Physical Review Letters
|July 30, 2002
PubMed
Summary

Conservation laws restrict the accuracy of quantum logic operations, impacting quantum computing. This study establishes a lower bound on errors for controlled-NOT gates, dependent on ancilla qubits or control field strength.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing Theory
  • Fundamental Physics

Background:

  • The Wigner-Araki-Yanase theorem demonstrates that conservation laws inherently limit measurement accuracy.
  • Understanding these limitations is crucial for developing robust quantum technologies.

Purpose of the Study:

  • To generalize the Wigner-Araki-Yanase theorem's implications to quantum logic operations.
  • To establish fundamental limits on the accuracy of physical quantum gates.

Main Methods:

  • Theoretical analysis generalizing the Wigner-Araki-Yanase theorem.
  • Derivation of a rigorous lower bound for the error probability of a controlled-NOT gate.
  • Consideration of angular momentum conservation laws and spin-based computational bases.

Main Results:

  • Conservation laws impose fundamental limits on the accuracy of quantum logic operations.
  • A rigorous lower bound on the error probability for a controlled-NOT gate was derived.
  • The error bound is inversely proportional to the number of ancilla qubits or the strength of the external control field.

Conclusions:

  • Physical implementations of quantum gates are subject to accuracy limitations imposed by conservation laws.
  • Strategies to improve gate accuracy include increasing ancilla qubits or control field strength.

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