Theory of quantum path entanglement and interference with multiplane diffraction of classical light sources

Title Theory of quantum path entanglement and interference with multiplane diffraction of classical light sources
Author Gülbahar, Burhan
Publication Date: 2020-02-21
Publication Place - MDPI
Subject Multiplane diffraction, Entangled histories, Quantum path entanglement, Quantum path interference, Leggett-Garg inequality
Type Periodical
Language English
Digital Yes
Manuscript No
Library: Özyeğin University
Library Asset ID 1099-4300
Record ID 7fe072bd-f96f-420b-ae91-16257e7f4b45
Library Location Electrical & Electronics Engineering
Date 2020-02-21
Notes Ozyegin University
Sample Text Quantum history states were recently formulated by extending the consistent histories approach of Griffiths to the entangled superposition of evolution paths and were then experimented with Greenberger-Horne-Zeilinger states. Tensor product structure of history-dependent correlations was also recently exploited as a quantum computing resource in simple linear optical setups performing multiplane diffraction (MPD) of fermionic and bosonic particles with remarkable promises. This significantly motivates the definition of quantum histories of MPD as entanglement resources with the inherent capability of generating an exponentially increasing number of Feynman paths through diffraction planes in a scalable manner and experimental low complexity combining the utilization of coherent light sources and photon-counting detection. In this article, quantum temporal correlation and interference among MPD paths are denoted with quantum path entanglement (QPE) and interference (QPI), respectively, as novel quantum resources. Operator theory modeling of QPE and counterintuitive properties of QPI are presented by combining history-based formulations with Feynman's path integral approach. Leggett-Garg inequality as temporal analog of Bell's inequality is violated for MPD with all signaling constraints in the ambiguous form recently formulated by Emary. The proposed theory for MPD-based histories is highly promising for exploiting QPE and QPI as important resources for quantum computation and communications in future architectures.
DOI 10.3390/e22020246
Cilt 22
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Theory of quantum path entanglement and interference with multiplane diffraction of classical light sources

Author Gülbahar, Burhan
Publication Date 2020-02-21
Publication Place - MDPI
Subject Multiplane diffraction, Entangled histories, Quantum path entanglement, Quantum path interference, Leggett-Garg inequality
Type Periodical
Language English
Digital Yes
Manuscript No
Library Özyeğin University
Library Asset ID 1099-4300
Record ID 7fe072bd-f96f-420b-ae91-16257e7f4b45
Library Location Electrical & Electronics Engineering
Date 2020-02-21
Notes Ozyegin University
Sample Text Quantum history states were recently formulated by extending the consistent histories approach of Griffiths to the entangled superposition of evolution paths and were then experimented with Greenberger-Horne-Zeilinger states. Tensor product structure of history-dependent correlations was also recently exploited as a quantum computing resource in simple linear optical setups performing multiplane diffraction (MPD) of fermionic and bosonic particles with remarkable promises. This significantly motivates the definition of quantum histories of MPD as entanglement resources with the inherent capability of generating an exponentially increasing number of Feynman paths through diffraction planes in a scalable manner and experimental low complexity combining the utilization of coherent light sources and photon-counting detection. In this article, quantum temporal correlation and interference among MPD paths are denoted with quantum path entanglement (QPE) and interference (QPI), respectively, as novel quantum resources. Operator theory modeling of QPE and counterintuitive properties of QPI are presented by combining history-based formulations with Feynman's path integral approach. Leggett-Garg inequality as temporal analog of Bell's inequality is violated for MPD with all signaling constraints in the ambiguous form recently formulated by Emary. The proposed theory for MPD-based histories is highly promising for exploiting QPE and QPI as important resources for quantum computation and communications in future architectures.
DOI 10.3390/e22020246
Cilt 22
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