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Advanced-Retarded Differential Equations in Quantum Photonic Systems
Unai Alvarez-Rodriguez1, Armando Perez-Leija2,3, Iñigo L Egusquiza4
1Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain.
Scientific Reports
|February 24, 2017
Summary
We introduce photonic circuits governed by advanced-retarded differential equations. This enables quantum feedback and feedforward without intermediate measurements, paving the way for integrated quantum control systems.
Area of Science:
- Quantum optics and photonics
- Nonlinear dynamics
- Quantum information science
Background:
- Advanced-retarded differential equations (ARD equations) describe complex systems with memory effects.
- Quantum control systems are crucial for developing quantum technologies.
- Implementing quantum feedback and feedforward typically requires intermediate measurements, limiting efficiency.
Purpose of the Study:
- To propose and analyze photonic circuits governed by ARD equations.
- To demonstrate a novel protocol for quantum feedback and feedforward without intermediate measurements.
- To explore the application of this protocol in both quantum and classical regimes.
Main Methods:
- Theoretical modeling of photonic circuits using ARD equations.
- Development of a protocol for measurement-free quantum feedback and feedforward.
- Analysis of delay effects in quantum and classical systems.
Main Results:
- Successful theoretical realization of photonic circuits with dynamics governed by ARD equations.
- Demonstration of a protocol enabling quantum feedback and feedforward without intermediate measurements.
- Identification of potential applications for implementing delay effects in quantum and classical regimes.
Conclusions:
- Photonic circuits governed by ARD equations offer a new platform for quantum control.
- The proposed protocol provides a pathway for efficient integrated quantum control systems.
- This research opens avenues for exploring complex dynamics in photonic systems for quantum applications.
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