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Quantum tomography for measuring experimentally the matrix elements of an arbitrary quantum operation
1Theoretical Quantum Optics Group, INFM Unità di Pavia, Dipartimento di Fisica "Alessandro Volta," Università di Pavia, Pavia, Italy.
Physical Review Letters
|May 1, 2001
Summary
Researchers developed a new quantum tomography method to measure quantum operations using a single entangled state. This technique is feasible for electromagnetic fields and demonstrated with twin-beam homodyne tomography.
Area of Science:
- Quantum mechanics and quantum information science.
- Experimental quantum optics and quantum state measurement.
Background:
- Quantum operations are fundamental to describing state changes in quantum systems.
- Characterizing arbitrary quantum operations is crucial for quantum information processing and understanding quantum dynamics.
Purpose of the Study:
- To present a general and experimentally feasible method for measuring the matrix elements of any quantum operation.
- To demonstrate the applicability of this method to electromagnetic fields.
Main Methods:
- Utilizing quantum tomography as the foundational technique.
- Employing a single entangled state as the sole input requirement.
- Illustrating the experimental setup using homodyne tomography of a twin beam.
Main Results:
- Successfully developed a general method for experimentally measuring quantum operation matrix elements.
- Confirmed the feasibility of the proposed technique for electromagnetic fields.
- Provided a practical experimental illustration using twin-beam homodyne tomography.
Conclusions:
- The presented quantum tomography method offers a powerful tool for characterizing quantum operations.
- The technique's reliance on a single entangled state simplifies experimental requirements.
- This work paves the way for more precise control and understanding of quantum systems.