2010
DOI: 10.1103/physreva.82.042104
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Interference and complementarity for two-photon hybrid entangled states

Abstract: In this work we generate two-photon hybrid entangled states (HES), where the polarization of one photon is entangled with the transverse spatial degree of freedom of the second photon. The photon pair is created by parametric down-conversion in a polarization-entangled state. A birefringent double-slit couples the polarization and spatial degrees of freedom of these photons and finally, suitable spatial and polarization projections generate the HES. We investigate some interesting aspects of the two-photon hyb… Show more

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Cited by 11 publications
(10 citation statements)
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“…This complements other related works involving hybrid optical states using spatial (path and optical orbital angular momentum) and polarisation modes [20][21][22][23]. It also substantiates the oftrepeated claim that combining different photonic encodings [24,25] is a practical tool for various quantum information tasks, for example studying the remote preparation of entangled states [26], complementarity [27], Bell inequalities [21,28,29], quantum key distribution implementations [30] and complete optical Bell state analysers [31,32]. Our first task consists of performing the quantum simulation of the perturbed coin.…”
Section: Experimental Implementationsupporting
confidence: 85%
“…This complements other related works involving hybrid optical states using spatial (path and optical orbital angular momentum) and polarisation modes [20][21][22][23]. It also substantiates the oftrepeated claim that combining different photonic encodings [24,25] is a practical tool for various quantum information tasks, for example studying the remote preparation of entangled states [26], complementarity [27], Bell inequalities [21,28,29], quantum key distribution implementations [30] and complete optical Bell state analysers [31,32]. Our first task consists of performing the quantum simulation of the perturbed coin.…”
Section: Experimental Implementationsupporting
confidence: 85%
“…with the probability of (1 − F ) 2 . Equations (49) and (50) can be transformed to Eqs. (46) and (47) by measuring one of photons in each PBS in the +/− basis and decreasing the amplitude of the coherent states.…”
Section: Purification For Hes With Multiphoton and Multicoherentmentioning
confidence: 99%
“…In their paper [43], they proposed a scheme to realize deterministic quantum teleportation using linear optics and hybrid qubits, and such HESs are the necessary resources for universal gate operations. Moreover, the HESs encoded in other degrees of freedom in optical systems have been widely discussed, such as the experiments of QKD and testing nonlocality encoded in time-bin qubit and polarization qubit [45,46], the remote preparation of single-photon hybird entangled state [47], experimental violation of a Bell inequality with the path (linear momentum) of one photon and the polarization of the other photon [28], the demonstration of spin-orbit hybrid entanglement of photons [48], and so on [49,50].…”
Section: Introductionmentioning
confidence: 99%
“…The term (σ 2 1 − σ 2 2 )/(2k 2 0 ) may be interpreted as a manifestation of the unavoidable spin-orbit coupling occurring in transverse electromagnetic fields [32]. In addition, its absolute value furnishes the visibility of the coincidence fringes [33]. Equation (13b) shows that R ϕ n ∝ sin 2 (2ϑ).…”
Section: Rate Of Distinguishabilitymentioning
confidence: 99%