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09:23
Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
Continuous frequency entanglement: effective finite hilbert space and entropy control
1Center for Quantum Information, University of Rochester, Rochester, New York 14627 and Rochester Theory Center for Optical Science and Engineering and Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA.
Physical Review Letters
|September 16, 2000
Summary
We explored quantum entanglement in short-pulse down-conversion, identifying a finite set of effective frequency modes. This provides a new basis for controlling entanglement entropy in two-photon pulses.
Area of Science:
- Quantum optics
- Quantum information science
Background:
- Continuum entanglement presents challenges in characterizing quantum correlations.
- Understanding the effective number of modes is crucial for practical applications.
Purpose of the Study:
- To determine the effective number of frequency modes contributing to entanglement in short-pulse down-conversion.
- To develop a discrete basis for characterizing pairwise entanglement.
Main Methods:
- Analysis of the quantum structure of continuum entanglement.
- Derivation of two-photon mode functions.
- Application to short-pulse down-conversion processes.
Main Results:
- Identified an exact, discrete, and finite basis for characterizing pairwise entanglement.
- Quantified the effective contribution of frequency modes to entanglement.
Conclusions:
- The study provides a foundational understanding of quantum entanglement in continuous variable systems.
- The derived basis enables precise control over entanglement entropy in generated two-photon pulses.
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