Quantum Indistinguishability by Path Identity: The awakening of a sleeping beauty

Abstract

Two photon-pair creation processes can be arranged such that the paths of the emitted photons are identical. Thereby the path information is not erased but is never born in the first place. In addition to its implications for fundamental physics, this concept has recently led to a series of discoveries in the fields of imaging, spectroscopy, and quantum information science. Here we present the idea of path identity and provide a comprehensive review of the recent developments.

42 pages, 39 figures, comments and suggestions for additional references are welcome!

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• Single-qubit measurement of two-qubit entanglement in generalized Werner states
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• Theory of the monochromatic advanced-wave picture and applications in biphoton optics
• Virtual Reality for Understanding Artificial-Intelligence-driven Scientific Discovery with an Application in Quantum Optics
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• Parametric model for high-order harmonic generation with quantized fields
• Gamow shell model predictions for six-proton unbound nucleus ${}^{20}$Si
• Two-photon Hong-Ou-Mandel interference and quantum entanglement between the frequency-converted idler photon and the signal photon
• Digital Discovery of a Scientific Concept at the Core of Experimental Quantum Optics
• Surpassing the loss-noise robustness trade-off in quantum key distribution
• Engineering of maximally entangled orbital angular momentum states via path identity
• Nonperturbative Zou-Wang-Mandel effect
• Quantum interference between distant creation processes
• Nonlinear-linear duality for multipath quantum interference
• Nonclassicality of induced coherence witnessed by contextuality
• Visibility Stokes parameters as a foundation for quantum information science with undetected photons
• Advances in Position-Momentum Entanglement: A Versatile Tool for Quantum Technologies
• Phase-Subtractive Interference and Noise-Resistant Quantum Imaging with Two Undetected Photons
• Unquestionable Bell theorem for interwoven frustrated down conversion processes
• Characterizing a high-dimensional unitary transformation without measuring the qudit it transforms
• Automated Discovery of Non-local Photonic Gates
• Subjective nature of path information in quantum mechanics