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This study introduces a unified approach for quantum computation using continuous-variable systems. It enables universal quantum computation with fixed operations and flexible encoding, simplifying quantum computer architecture.

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Area of Science:

  • Quantum Computing
  • Continuous-Variable Quantum Systems

Background:

  • Implementing qubits in continuous-variable systems typically requires specific interaction engineering for each encoding.
  • This presents a challenge for developing flexible and scalable quantum computer architectures.

Purpose of the Study:

  • To present a unified formalism for universal quantum computation in continuous-variable systems.
  • To enable quantum computation with a fixed set of operations and arbitrary encoding schemes.

Main Methods:

  • Storing qubits in the parity of two or four qumodes.
  • Utilizing basis state preparations, continuous-variable exponential-swap operations, and swap tests for computation.
  • Proposing an implementation using readily available interactions in continuous-variable systems.

Main Results:

  • Demonstrated a formalism for universal quantum computation with arbitrary encoding.
  • Showcased that quantum information is decoupled from collective noise.
  • Enabled interaction between logical qubits with different encodings without decoding.

Conclusions:

  • The proposed formalism simplifies quantum computer architecture by separating hardware and software challenges.
  • This approach allows for greater flexibility in designing quantum encodings for specific purposes.
  • Facilitates the development of more robust and adaptable continuous-variable quantum computers.