Experimental high-dimensional two-photon entanglement and violations of generalized Bell inequalities

By A. Dada, Jonathan Leach, Gerald S. Buller, Miles J. Padgett, Erika Andersson. 2011

639 citations recorded by the source corpus.

Bell’s theorem experiments, which test the completeness of quantum mechanics, have a number of loopholes. However, one type—detection loopholes—becomes smaller when the measurement has more possible outcomes. Bell’s inequality is now violated in tests with as many as 11 different results.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/4b5a2a6ff21891ecf8e78eefb1f5d3fab3fbf5ba

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Measurements in two bases are sufficient for certifying high-dimensional entanglement (2017, background): “Due to the complexity of realizing measurements in high-dimensional spaces, previous experiments that aimed to certify entanglement dimensionality (also known as Schmidt number) often had to resort to assumptions about the underlying quantum state ρ, including, amongst others, conservation of angula”
Creation and detection of optical modes with spatial light modulators (2016, background): “sidered including a demonstration of entanglement up to dimension d = 12 through violations of Bell-type inequalities, where specific holograms were designed to project into measurement bases that maximize the violations of high-dimensional inequalities [159].”
Photon temporal modes: a complete framework for quantum information science (2015, background): “[13] A.”
Photonic quantum information processing: A concise review (2019, background): “The most commonly used mode pairs are orthogonal polarizations or non-overlapping propagation paths, but recently, other degrees of freedom such as transverse spatial, 15–17 frequency mode, 18–21 temporal bin-, 22–25 and temporal mode-23,26–29 encoding are attracting attention.”
Twisted photons: new quantum perspectives in high dimensions (2017, neutral): “While analytical results are still missing, numerical estimates suggest that the violations increase monotonically with the number of dimensions 44,46 .”
Entanglement certification from theory to experiment (2018, methodology): “[154] Adetunmise C.”
A quantum memory for orbital angular momentum photonic qubits (2013, background): “These advances include quantum cryptography [10], bit commitment [11], experimental quantum coin tossing [12], and more recently, the demonstration of very high-dimensional entanglement [13, 14].”
Multifrequency sources of quantum correlated photon pairs on-chip: a path toward integrated Quantum Frequency Combs (2016, background): “Different high dimensional variables, either discrete such as orbital angular momentum [34, 35], or continuous such as time (or its conjugate, frequency) [36, 37] and space (or its conjugate, the transverse wave vector) [38] have been considered and investigated in the framework of bulk optics, yet ”