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arXiv:2203.07598

Understanding of coincidence detection in Franson-type nonlocal correlations for second-order quantum superposition

Byoung Seung HAM

Published Mar 15, 2022• 0 citations
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Abstract

Coincidence detection is a key technique used in nonlocal quantum-correlation measurements to test Bell inequality violation between remotely separated local detectors. With individual uniform intensity of local measurements, the nonlocal correlation fringe is a mysterious quantum feature that cannot be achieved classically. Here, the coincidence detection is coherently investigated to understand the fundamental physics of the nonlocal correlation fringe via second-order quantum superposition between selected nonlocal measurement events. Because of the coherence feature of paired photons, the coincidence technique modifies the measurement events for the rule of thumb of indistinguishability between selected measurement bases of paired photons. This indistinguishability is quantum superposition between nonlocally detected events resulting from a selected time slot of coincidence, where coherence between individually measured photons is an absolute condition.

DOI
10.48550/arxiv.2203.07598

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Coincidence detection is a key technique used in nonlocal quantum-correlation measurements to test Bell inequality violation between remotely separated local detectors. With individual uniform intensity of local measurements, the nonlocal correlation fringe is a mysterious quantum feature that cannot be achieved classically. Here, the coincidence detection is coherently investigated to understand the fundamental physics of the nonlocal correlation fringe via second-order quantum superposition between selected nonlocal measurement events. Because of the coherence feature of paired photons, the coincidence technique modifies the measurement events for the rule of thumb of indistinguishability between selected measurement bases of paired photons. This indistinguishability is quantum superposition between nonlocally detected events resulting from a selected time slot of coincidence, where coherence between individually measured photons is an absolute condition.
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Bell inequality violation is a quantitative measurement tool for quantum entanglement. Quantum entanglement is the heart of quantum information science, in which the resulting nonlocal correlation between remotely separated photons shows a unique property of quantum mechanics. Here, the role of coincidence detection is coherently investigated for the nonlocal correlation in a simple polarization-basis selective non-interferometric system using entangled photon pairs (Phys. Rev. A 73, 012316 (2006)). The resulting nonlocal quantum feature between two independent local polarizers is coherently derived for the joint-parameter relation of the inseparable intensity product. The resulting coherence solution based on the wave nature of quantum mechanics is thus understood as a deterministic process via coincidence detection-caused measurement modification.
Abstract Bell inequality violation is a quantitative measurement tool of quantum entanglement between space-like separated particles. Quantum entanglement is the heart of quantum information science, in which the resulting nonlocal correlation between the paired particles is a unique property of quantum mechanics. Over the last few decades, intensive research has been conducted to understand nonlocal quantum features based on the particle nature of quantum mechanics. Here, the role of coincidence detection is analyzed in a simple interferometer using a quantum eraser. To understand the nonlocal quantum feature, coincidence detection between two output photons of an interferometer is coherently analyzed for Bell inequality violations. Based on this understanding, a classical model of the nonlocal quantum correlation is finally presented using coherent light via wave mixing and heterodyne detection.
Quantum correlation is the keyword in quantum information technologies. Over the last several decades, quantum correlation violating local realism has been intensively studied in various areas, but still left as a mysterious quantum phenomenon. Here, a coherence approach is applied to investigate the fundamental physics of nonlocal quantum correlation for a typical model based on entangled photon pairs without violation of quantum mechanics. As a result, a complete coherence solutions are found for coherent photons via coincidence detection, resulting in a deterministic joint basis relation between space-like separated parties in an inseparable basis-product manner.
Entanglement is the basic building block of quantum technologies whose property is in the unique quantum feature of nonlocal realism. However, such a nonlocal quantum property is known as just a weird phenomenon that cannot be obtained by any classical means. Recently, the mysterious quantum phenomena have been coherently interpreted using entangled photon pairs, where the quantum mystery has been found in the manipulated product-basis superposition of paired photons. Here, a coherence version of the Franson-type nonlocal correlation is presented by all means of classical physics. The resulting coherence solutions of the nonlocal correlation satisfy the same joint-phase relation of local parameters as in the quantum version. For the nonlocal correlation fringe, coherent manipulations of attenuated laser light are conducted by synchronized acousto-optic modulators to generate random but phase-matched photon pairs.
Nonlocal correlation is the key concept in quantum information processing, where quantum entanglement provides such a nonclassical property. Since the first proposal of noninterfering interferometer-based two-photon intensity correlation by Franson (Phys. Rev. Lett. 62, 2205 (1989)), the particle nature of photons has been intensively studied for nonlocal correlation using Mach-Zehnder interferometers (MZIs). Here, the role of MZIs is investigated with respect to the origin of nonlocal correlation in Franson-type experiments, where the wave nature of photons plays a critical role. Under the coincidence-provided quantum superposition between independent MZIs, we prove that nonlocal correlation can be created from non-entangled photons through the MZIs.