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Transport Approach to Quantum State Tomography.

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This study introduces a new method for quantum state tomography (QST) using transport measurements in open quantum systems. This approach reconstructs quantum states without isolating the system, offering new insights into quantum information processing.

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Area of Science:

  • Quantum Information Science
  • Mesoscopic Physics
  • Quantum Computation

Background:

  • Quantum state tomography (QST) is crucial for quantum technologies but traditionally requires isolating quantum systems.
  • Environmental dissipation poses a challenge for conventional QST methods.

Purpose of the Study:

  • To develop a novel QST method utilizing transport measurements in open quantum systems.
  • To enable quantum state reconstruction without isolating the system from its environment.

Main Methods:

  • Measuring currents and transport quantities in a quantum system in an open configuration.
  • Utilizing an exact relation between transport quantities and Krylov subspaces of the Lindbladian.
  • Applying the method to a two-qubit system in a two-terminal setup.

Main Results:

  • Successfully reconstructed the quantum state of a two-qubit system using transport measurements.
  • Developed a transport-based entanglement measure quantifying concurrence using current averages and correlation functions.
  • Established an analytical framework connecting mesoscopic transport and open quantum information processing.

Conclusions:

  • Transport measurements offer a viable alternative for QST in open quantum systems.
  • The findings provide fundamental insights into quantum information processing in dissipative environments.
  • This work bridges mesoscopic physics and quantum information theory, enabling new applications.