Four-wave mixing: Photon statistics and the impact on a co-propagating quantum signal

Almeida, Álvaro J.; Silva, Nuno; André, Paulo S.; Pinto, Armando N.

doi:10.1016/j.optcom.2012.02.008

Cited by 11 publications

(4 citation statements)

References 22 publications

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“…Hence, we refer to it by the term input mean photon number in the following. Poissonian distribution is valid for multimode SPDC or SFWM processes, that is, for weaker spectral filtering [11,14,[39][40][41][42][43]. Assuming this distribution makes it possible to compare our results with the ones presented in a significant part of the literature related to SPS, which were also obtained for Poissonian distribution [9,10,16,17,27,[36][37][38].…”

Section: Statistical Theorysupporting

confidence: 63%

Spatially multiplexed single-photon sources based on incomplete binary-tree multiplexers

Adam,

Bodog,

Mechler

2021

Preprint

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We propose two novel types of spatially multiplexed single-photon sources based on incomplete binary-tree multiplexers. The incomplete multiplexers are extensions of complete binary-tree multiplexers, and they contain incomplete branches either at the input or at the output of them. We analyze and optimize these systems realized with general asymmetric routers and photon-number-resolving detectors by applying a general statistical theory introduced previously that includes all relevant loss mechanisms. We show that the use of any of the two proposed multiplexing system can lead to higher single-photon probabilities than that achieved with complete binary-tree multiplexers. Single-photon sources based on output-extended incomplete binary-tree multiplexers outperform those based on input-extended ones in the considered parameter ranges, and they can in principle yield single-photon probabilities higher than 0.93 when they are realized by state-of-the-art bulk optical elements.

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Section: Statistical Theorysupporting

confidence: 63%

Spatially multiplexed single-photon sources based on incomplete binary-tree multiplexers

Adam,

Bodog,

Mechler

2021

Preprint

View full text Add to dashboard Cite

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“…This quantity is the input of the heralding process, therefore we use the term input mean photon number to refer to it in the following. The number of the generated photon pairs follows this statistics in the case of multimode SPDC or SFWM processes, that is, when weaker spectral filtering is applied in the system [36,39,[76][77][78][79][80]. This assumption on the distribution enables us to compare the results with those presented in a significant part of the experimental and theoretical literature related to SPS, which were also achieved by considering the Poissonian distribution [34,35,41,42,52,53,55,56].…”

Section: Statistical Frameworkmentioning

confidence: 77%

“…We note that Eq. ( 2) remains valid for any input distributions such as thermal distribution that occurs for photon pairs produced in single-mode, that is, spectrally narrow-filtered SPDC or SFWM processes [36,39,[76][77][78][79][80].…”

Section: Statistical Frameworkmentioning

confidence: 99%

Single-photon sources based on asymmetric spatial multiplexing with optimized inputs

Adam,

Bodog,

Koniorczyk

et al. 2021

Preprint

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We develop a statistical theory describing the operation of multiplexed single-photon sources equipped with photon-number-resolving detectors that includes the potential use of different input mean photon numbers in each of the multiplexed units. This theory accounts for all relevant loss mechanisms and allows for the maximization of the single-photon probabilities under realistic conditions by optimizing the different input mean photon numbers unit-wise and the detection strategy that can be defined in terms of actual detected photon numbers. We apply this novel description to analyze periodic single-photon sources based on asymmetric spatial multiplexing realized with general asymmetric routers. We show that optimizing the different input mean photon numbers results in maximal single-photon probabilities higher than those achieved by using optimal identical input mean photon numbers in this setup. We identify the parameter ranges of the system for which the enhancement in the single-photon probability for the various detection strategies is relevant. An additional advantage of the unit-wise optimization of the input mean photon numbers is that it can result in the decrease of the optimal system size needed to maximize the single-photon probability. We find that the highest single-photon probability that our scheme can achieve in principle when realized with state-of-the-art bulk optical elements is 0.935. This is the highest one to our knowledge that has been reported thus far in the literature for experimentally realizable single-photon sources.

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“…In this and the following section, we will discuss the case of a noisy environment. Regarding a future implementation of the protocol, in which the qubit states are encoded into the polarization of single photons [22][23][24][25], we will discuss the case of optical realizations of the protocol. Nevertheless, our theoretical approach could be easily applied, with suitable small modifications, to other types of physical realizations as well.…”

Section: Optical Noisementioning

confidence: 99%

Noise and measurement errors in a practical two-state quantum bit commitment protocol

et al. 2014

Self Cite

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We present a two-state practical quantum bit commitment protocol, the security of which is based on the current technological limitations, namely the non-existence of either stable long-term quantum memories, or non-demolition measurements. For an optical realization of the protocol, we model the errors, which occur due to the noise and equipment (source, fibers and detectors) imperfections, accumulated during emission, transmission and measurement of photons. The optical part is modeled as a combination of a depolarizing channel (white noise), unitary evolution (e.g. systematic rotation of the polarization axis of photons) and two other basis-dependent channels, the phase-and the bit-flip channels. We analyze quantitatively the effects of noise using two common information-theoretic measures of probability distribution distinguishability: the fidelity and the relative entropy. In particular, we discuss the optimal cheating strategy and show that it is always advantageous for a cheating agent to add some amount of white noise -the particular effect not being present in standard quantum security protocols. We also analyze the protocol's security when the use of (im)perfect non-demolition measurements and noisy/bounded quantum memories are allowed. Finally, we discuss errors occurring due to a finite detector efficiency, dark counts and imperfect single-photon sources and show to have the same effects as those of standard quantum cryptography.

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Four-wave mixing: Photon statistics and the impact on a co-propagating quantum signal

Cited by 11 publications

References 22 publications

Spatially multiplexed single-photon sources based on incomplete binary-tree multiplexers

Spatially multiplexed single-photon sources based on incomplete binary-tree multiplexers

Single-photon sources based on asymmetric spatial multiplexing with optimized inputs

Noise and measurement errors in a practical two-state quantum bit commitment protocol

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