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Holonomic Quantum Control with Continuous Variable Systems.

Victor V Albert1, Chi Shu1,2, Stefan Krastanov1

  • 1Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut, USA.

Physical Review Letters
|April 23, 2016
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Summary
This summary is machine-generated.

Researchers developed three adiabatic holonomic gates for universal quantum computation using harmonic oscillators. These gates enable relative Berry phase, population transfer, and controlled-phase operations, realizable in systems like trapped ions.

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Area of Science:

  • Quantum Computing
  • Quantum Mechanics
  • Quantum Information Science

Background:

  • Achieving universal computation in quantum systems is a key challenge.
  • Superpositions of well-separated coherent states in harmonic oscillators are a promising platform.

Purpose of the Study:

  • To introduce three families of adiabatic holonomic gates for universal quantum computation.
  • To demonstrate methods for controlling quantum states in harmonic oscillator systems.

Main Methods:

  • Utilizing adiabatic holonomic gates to manipulate coherent states.
  • Implementing phase space manipulation for Berry phase generation.
  • Employing state collision for population transfer.
  • Engineering controlled-phase gates between oscillators.

Main Results:

  • A novel set of three adiabatic holonomic gates was proposed.
  • The first gate generates a relative Berry phase by moving coherent states.
  • The second gate achieves coherent population transfer via state collision.
  • The third gate acts as a controlled-phase gate between different oscillators.

Conclusions:

  • These gates offer a pathway to universal quantum computation in harmonic oscillator systems.
  • The proposed gates are potentially realizable using reservoir engineering in systems like trapped ions and circuit QED.