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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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Published on: May 30, 2014

Gapped two-body Hamiltonian for continuous-variable quantum computation.

Leandro Aolita1, Augusto J Roncaglia, Alessandro Ferraro

  • 1ICFO-Institut de Ciències Fotòniques, Mediterranean Technology Park, Castelldefels, Barcelona, Spain.

Physical Review Letters
|March 17, 2011
PubMed
Summary
This summary is machine-generated.

We developed new Hamiltonians for continuous-variable quantum computing. These systems efficiently prepare Gaussian graph states, enabling new physical implementations of quantum computation.

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Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics

Background:

  • Measurement-based quantum computation (MBQC) with continuous variables (CV) is a promising paradigm.
  • Existing methods for preparing universal quantum resources like Gaussian graph states face challenges in physical realization.

Purpose of the Study:

  • To introduce a novel family of Hamiltonians for adiabatic preparation of Gaussian graph states.
  • To explore the properties of these Hamiltonians and their ground states for CV quantum computing.
  • To investigate thermal equilibrium correlations in these systems.

Main Methods:

  • Formulation of quadratic, short-range, frustration-free Hamiltonians.
  • Analysis of ground state properties and energy gaps.
  • Characterization of multipartition correlations at thermal equilibrium.

Main Results:

  • The Hamiltonians' ground states are Gaussian graph states, universal resources for CV quantum computing.
  • Adiabatic preparation of graph states is facilitated by these Hamiltonians.
  • A correlation area law is demonstrated, with correlations confined to the boundary of any multipartition.

Conclusions:

  • These Hamiltonians offer a new pathway for realizing continuous-variable quantum computing.
  • The discovered correlation properties provide insights into the nature of entanglement in these systems.
  • This work advances the physical implementation of quantum computation beyond standard optical approaches.