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Quantum tomography of an electron.

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Researchers demonstrate quantum tomography for single electrons, enabling wavefunction reconstruction. This breakthrough in electron quantum optics opens new avenues for quantum information processing with fermions.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Quantum optics

Background:

  • Quantum state knowledge is crucial for predicting measurement outcomes.
  • Standard tomography methods work for photons but not for fermions like electrons due to amplitude limitations.
  • Previous proposals suggested using current measurements in quantum conductors for electron wavefunction determination.

Purpose of the Study:

  • To demonstrate the feasibility of quantum tomography for single electrons.
  • To reconstruct the Wigner distribution function of single electrons in a ballistic conductor.
  • To establish electron quantum optics in ballistic conductors as a platform for quantum information with fermions.

Main Methods:

  • Preparing electrons in well-controlled quantum states (levitons) using voltage pulses.
  • Mixing levitons with a weak-amplitude fermionic field generated from electron-hole pairs.
  • Measuring noise variations at an electron beam splitter to obtain energy density matrix elements.

Main Results:

  • Successfully reconstructed the Wigner distribution function of single electrons.
  • Demonstrated that quantum tomography is achievable despite high noise sensitivity.
  • Showcased the potential of electron quantum optics for fermionic quantum information.

Conclusions:

  • This work establishes a practical method for electron quantum tomography.
  • It advances the field of electron quantum optics and its applications in quantum information.
  • The technique could be extended to study entanglement, decoherence, and interactions of electrons, and applied to cold fermionic atoms.