2014
DOI: 10.1364/josaa.31.000704
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Optical integration of a real-valued function by measurement of a Stokes parameter

Abstract: We experimentally implement an optical algorithm for integration of a real-valued bivariate function. A user-defined function is encoded in the position-dependent phase of one of the polarization components of an optical beam. The integral of this function is retrieved by measuring a Stokes parameter of the polarization. We analyze the performance of the system as an integration device.

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Cited by 6 publications
(4 citation statements)
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“…Significantly, the intrinsic polarisation dependent birefringence due to the liquid crystals has not been fully utilised for hybrid entanglement generation. So far, the polarisation dependent response of liquid crystal SLMs has been characterised as a quantum channel [36] and have been explored in order to implement optical computations [37,38] and spatially resolved photon-coincidence measurements [39,40].…”
Section: Introductionmentioning
confidence: 99%
“…Significantly, the intrinsic polarisation dependent birefringence due to the liquid crystals has not been fully utilised for hybrid entanglement generation. So far, the polarisation dependent response of liquid crystal SLMs has been characterised as a quantum channel [36] and have been explored in order to implement optical computations [37,38] and spatially resolved photon-coincidence measurements [39,40].…”
Section: Introductionmentioning
confidence: 99%
“…[8] the effects of a chaotic wave front on a polarization qubit was investigated, while in Ref. [22] an * gabriela.barreto.lemos@univie.ac.at optical integration method was demonstrated. In a very recent article [23], entanglement between transverse spatial variables of a pair of twin photons was detected through polarization measures.…”
Section: Introductionmentioning
confidence: 99%
“…Considering both the polarization and spatial degrees of freedom, the action of the SLM can be described by the operator where I is the identity. Using this coupling, quantum logic gates between polarization and spatial parity qubits have been implemented 32 , a qubit coupled to a chaotic quantum harmonic oscillator has been studied 33 , a single photon and classical channels have been multiplexed in a few-mode fiber 34 , spatial moments have been measured directly 35 , and an optical integration algorithm has been performed 36 . In Ref.…”
mentioning
confidence: 99%
“…The imperfect fidelity is due primarily to a slight decoherence of the polarization induced by the SLM. This decoherence can have a detrimental effect on quantum logic gates, and needs to be corrected in some situations 36 .…”
mentioning
confidence: 99%