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Hyperconcentration for entanglement in two degrees of freedom

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Abstract

We present two hyperconcentration protocols for hyperentangled states, in which entanglement occurs simultaneously in the polarization and the spatial degrees of freedom. One uses an auxiliary single photon prepared in a fixed state. The other uses two less-entangled photon pairs. In both schemes, a two photon maximally hyperentangled state can be obtained from the nonmaximally entangled states with a certain success probability. The procrustean concentration is realized by polarizing beam splitters and nondestructive quantum nondemolition detection. In both protocols the unsuccessful instances can be reconcentrated repeatedly to get a higher success probability, which makes our schemes efficient and useful in quantum information processing.

© 2013 Optical Society of America

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