Multiphoton interference is an essential component of quantum technologies such as quantum computation, quantum communication, and quantum metrology. We introduce a sorting-based approach to multiphoton interference and examine its implications for quantum metrology and teleportation. Our examination reveals an extension of the seminal Hong-Ou-Mandel effect whose resultant state is the highly desired multiphoton NOON state. Application of the above perspective to entangled photons reveals a novel approach to quantum qudit teleportation. (C) 2019 Optical Society of America
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