Quantum Holograms

Edgar D. Mitchell

Meher Antia

Denis V. Vasilyev, I. V. Sokolov, Eugene Simon Polzik

We propose a scheme for parallel spatially multimode quantum memory for light. The scheme is based on a counterpropagating quantum signal wave and a strong classical reference wave as in a classical volume hologram and therefore can be called a quantum volume hologram. The medium for the hologram consists of a spatially extended ensemble of atoms placed in a magnetic field. The write-in and readout of this quantum hologram is as simple as that of its classical counterpart and consists of a single-pass illumination. In addition, we show that the present scheme for a quantum hologram is less sensitive to diffraction and therefore is capable of achieving a higher density of storage of spatial modes as compared to previous proposals. We present a feasibility study and show that experimental implementation is possible with available cold atomic samples. A quantum hologram capable of storing entangled images can become an important ingredient in quantum information processing and quantum imaging.

Denis V. Vasilyev, I. V. Sokolov

We propose a scheme for parallel, spatially multimode quantum memory for light. The scheme is based on the propagation in different directions of a quantum signal wave and strong classical reference wave, like in a classical volume hologram and the previously proposed quantum volume hologram [D. V. Vasilyev et al., Phys. Rev. A 81, 020302(R) (2010)]. The medium for the hologram consists of a spatially extended ensemble of cold spin-polarized atoms. In the absence of the collective spin rotation during the interaction, two passes of light for both storage and retrieval are required, and therefore the present scheme can be called a double-pass quantum volume hologram. The scheme is less sensitive to diffraction and therefore is capable of achieving a higher density of storage of spatial modes as compared to the previously proposed thin quantum hologram [D. V. Vasilyev et al., Phys. Rev. A 77, 020302(R) (2008)], which also requires two passes of light for both storage and retrieval. However, the present scheme allows one to achieve a good memory performance with a lower optical depth of the atomic sample as compared to the quantum volume hologram. A quantum hologram capable of storing entangled images can become an important ingredient in quantum information processing and quantum imaging.

Ivan P. Kaminow

Roberto Zecca, David R. Smith, Daniel L. Marks

We show that Holevo's inequality upper-bounds the information capacity of a volume hologram without requiring a specification of the implementation of the hologram or the measurements to be made on the field scattered by the hologram. We find that, in the weakly scattering limit, the information capacity is not determined by the number of possible configurations of the holographic medium but only by the specification of the incident fields in the medium volume, which are determined at the volume boundary. By treating a volume hologram as a quantum communication channel, we establish a correspondence between the reconstruction of a hologram with multiple incident and scattered waves and the measurement of a quantum state with an operator-valued measure. We determine a bound on the probability of communications error, which describes the degree to which the incident fields may be distinguished by measurements of the scattered waves or, in other words, the crosstalk between the incident fields.