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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Published on: June 8, 2018

Nonadiabatic holonomic quantum computation in decoherence-free subspaces.

G F Xu1, J Zhang, D M Tong

  • 1Department of Physics, Shandong University, Jinan 250100, China.

Physical Review Letters
|December 11, 2012
PubMed
Summary
This summary is machine-generated.

This study demonstrates nonadiabatic holonomic quantum computation within decoherence-free subspaces. It achieves a universal set of quantum gates using three qubits, offering a faster, robust quantum computing approach.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Error Correction

Background:

  • Combining decoherence-free subspaces and geometric holonomic control is crucial for fault-tolerant quantum computation.
  • Existing adiabatic holonomic quantum computation schemes in decoherence-free subspaces have long run times.
  • Nonadiabatic approaches in decoherence-free subspaces are needed to reduce computation time while maintaining robustness.

Purpose of the Study:

  • To demonstrate a method for realizing nonadiabatic holonomic quantum computation in decoherence-free subspaces.
  • To overcome the limitations of long run-times in adiabatic schemes.
  • To achieve a universal set of quantum gates with enhanced speed and robustness.

Main Methods:

  • Encoding one logical qubit using three neighboring physical qubits.
  • Utilizing collective dephasing dynamics for qubit encoding.
  • Implementing nonadiabatic geometric holonomic control within decoherence-free subspaces.

Main Results:

  • Successfully realized nonadiabatic holonomic quantum computation in decoherence-free subspaces.
  • Demonstrated the creation of a universal set of quantum gates.
  • Achieved robust quantum computation with reduced run times.

Conclusions:

  • Nonadiabatic holonomic quantum computation in decoherence-free subspaces is feasible.
  • The proposed method offers a promising avenue for faster and more robust quantum computing.
  • This work addresses a key challenge in developing practical quantum computers.