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Theory of Quantum Path Entanglement and Interference with Multiplane Diffraction of Classical Light Sources
1Department of Electrical and Electronics Engineering, Ozyegin University, Istanbul 34794, Turkey.
Entropy (Basel, Switzerland)
|December 8, 2020
Summary
Quantum history states are extended using multiplane diffraction (MPD) for quantum computing. This approach utilizes quantum path entanglement (QPE) and interference (QPI) as novel quantum resources for scalable quantum computation and communication.
Area of Science:
- Quantum Information Science
- Quantum Computing
- Quantum Optics
Background:
- Consistent histories approach extended to entangled superposition of evolution paths.
- Tensor product structure of history-dependent correlations exploited for quantum computing.
Purpose of the Study:
- Define quantum histories of multiplane diffraction (MPD) as entanglement resources.
- Explore quantum path entanglement (QPE) and quantum path interference (QPI) as novel quantum resources.
- Investigate the potential of MPD-based histories for quantum computation and communication.
Main Methods:
- Extending consistent histories to entangled evolution paths.
- Utilizing multiplane diffraction (MPD) of fermionic and bosonic particles.
- Applying operator theory modeling and Feynman's path integral approach.
- Analyzing Leggett-Garg inequality violation for MPD.
Main Results:
- MPD-based quantum histories offer scalable generation of Feynman paths with low experimental complexity.
- Quantum path entanglement (QPE) and quantum path interference (QPI) identified as novel quantum resources.
- Violation of Leggett-Garg inequality demonstrated for MPD under specific signaling constraints.
Conclusions:
- MPD-based quantum histories show significant promise for quantum computation and communication.
- QPE and QPI can be effectively exploited as resources in future quantum architectures.
- The proposed theory provides a framework for understanding and utilizing these novel quantum resources.
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