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Universal fault-tolerant quantum computation on decoherence-free subspaces

Bacon1, Kempe, Lidar

  • 1Department of Chemistry, University of California, Berkeley, California 94720 and Physics Department, University of California, Berkeley, California 94720, USA.

Physical Review Letters
|September 6, 2000
PubMed
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This study presents a method for universal, fault-tolerant quantum computation using decoherence-free subspaces (DFSs). It enables quantum gates within DFSs, crucial for quantum computing advancements.

Area of Science:

  • Quantum Information Science
  • Quantum Computing

Background:

  • Decoherence poses a significant challenge to building stable quantum computers.
  • Decoherence-free subspaces (DFSs) offer a promising avenue for protecting quantum information.

Purpose of the Study:

  • To present a general scheme for universal, fault-tolerant quantum computation within DFSs.
  • To demonstrate the implementation of quantum gates while remaining within the DFS.

Main Methods:

  • Utilizing at most two-qubit interactions for quantum gate implementation.
  • Performing universal computation on clusters of four-qubit DFSs encoding one logical qubit.
  • Addressing spatially symmetric (collective) decoherence.

Main Results:

Related Experiment Videos

  • A scheme for fault-tolerant quantum computation within DFSs is established.
  • Quantum gates are implemented entirely within the DFS, preserving quantum information.
  • Universal computation is demonstrated on specific DFS cluster architectures.

    • Conclusions:

    • The proposed scheme facilitates robust quantum computation by leveraging DFSs.
    • This approach is directly applicable to physical implementations using exchange interactions.
    • The findings are relevant for quantum dot and donor-atom array quantum computer designs.