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Related Experiment Video

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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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CS-count-optimal quantum circuits for arbitrary multi-qubit unitaries.

Priyanka Mukhopadhyay1

  • 1Department of Computer Science, University of Toronto, Toronto, ON, Canada. mukhopadhyay.priyanka@gmail.com.

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|June 17, 2024
PubMed
Summary
This summary is machine-generated.

This study introduces a generating set for the Clifford+CS gate set, crucial for fault-tolerant quantum computing. It establishes bounds on CS-count for multi-qubit unitaries and develops optimal synthesis algorithms, impacting quantum algorithm resource estimates.

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Area of Science:

  • Quantum Computing
  • Fault-Tolerant Quantum Computation
  • Quantum Information Science

Background:

  • Universal gate sets are fundamental in quantum computing, with Clifford+CS offering an alternative to Clifford+T.
  • The CS gate is vital for numerous quantum computing applications.
  • Efficient synthesis of quantum gates is critical for practical quantum computation.

Purpose of the Study:

  • To introduce a generating set for the Clifford+CS universal fault-tolerant gate set.
  • To derive bounds on the CS-count for arbitrary multi-qubit unitaries.
  • To develop CS-count optimal synthesis algorithms for quantum circuits.

Main Methods:

  • Introduction of a novel generating set for Clifford+CS operations.
  • Analysis of the channel representation of generating set elements.
  • Development of algorithms for CS-count optimal synthesis of multi-qubit unitaries.

Main Results:

  • A bound on the CS-count for arbitrary multi-qubit unitaries is derived.
  • Comparison of unitaries implementable by Clifford+CS and Clifford+T gate sets.
  • A CS-count-optimal circuit for the Toffoli gate is presented, showing .

Conclusions:

  • The Clifford+CS gate set is a viable and important alternative for quantum computation.
  • The developed algorithms and derived bounds can significantly impact resource estimation for quantum algorithms.
  • The findings contribute to the advancement of efficient and fault-tolerant quantum circuit synthesis.