Paper
14 March 2005 Quantum state engineering for spatial control of entangled photon pairs
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Abstract
The two-photon state generated by spontaneous parametric down-conversion (SPDC) exhibit spatial entanglement embedded in the corresponding mode function. The control of the spatial characteristics of the generated two-photon state is an issue of paramount importance. For example, the spatial entanglement of the two down converted photons forms the basis of quantum imaging, and entanglement in orbital angular momentum has opened a new scenario for implementing multidimensional Hilbert spaces. We put forward several techniques to engineer the spatial structure of entangled two-photon states generated in SPDC. The first strategy we consider for spatial control of the quantum state makes use of the direct manipulation of the pump beam. This technique makes feasible to prepare arbitrary engineered entangled states in any d-dimensional Hilbert space. The second strategy is based on the proper preparation of the down-converting crystal itself, namely quantum state manipulation by quasi-phase-matching (QPM) engineering. We use properly designed transversely varying QPM gratings in nonlinear crystals.
© (2005) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Juan P. Torres and Lluis Torner "Quantum state engineering for spatial control of entangled photon pairs", Proc. SPIE 5736, Nanomanipulation with Light, (14 March 2005); https://doi.org/10.1117/12.588624
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Cited by 1 scholarly publication.
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KEYWORDS
Crystals

Nonlinear crystals

Quantum information

Modulation

Superposition

Photonic crystals

Quantum state engineering

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