Quantum states interrogation using a pre-shaped free electron wavefunction

Kavli Affiliate: Amnon Yariv

| First 5 Authors: Bin Zhang, Du Ran, Reuven Ianconescu, Aharon Friedman, Jacob Scheuer

| Summary:

We present a comprehensive theory for interrogation of the quantum state of a
two-level system (TLS) based on a free-electron – bound-electron resonant
interaction scheme. The scheme is based on free electrons, whose quantum
electron wavefunction is pre-shaped or optically modulated by lasers in an
electron microscope setup and then inelastically scattered by a quantum TLS
target (e.g., atom, quantum dot, crystal defect center, etc.) upon traversing
in proximity to the target. Measurement of the post-interaction energy spectrum
of the electrons, probes and quantifies the full Bloch sphere parameters of a
pre-excited TLS and enables coherent control of the qubit states. The
exceptional advantage of this scheme over laser-based ones is the atomic-scale
spatial resolution of addressing individual TLS targets. Thus, this scheme
opens new horizons for electron microscopy in material interrogation and
quantum information technology.

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