Conditional generation of optical Schrödinger cat states

Ádám, P.; Kiss, T.; Darázs, Zoltán; Jex, Igor

doi:10.1088/0031-8949/2010/t140/014011

Cited by 10 publications

(10 citation statements)

References 13 publications

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“…These experimental schemes contain only beam splitters and homodyne detectors, and they are capable of producing coherent-state superpositions in traveling fields along the real axis and on an equidistant lattice in the phase space. These schemes are based on an apparatus developed previously for generating Schrödinger cat states [81]. It has been shown that the proposed setups can generate amplitude squeezed states, binomial states, squeezed cat states, and various photon-number superpositions with high fidelities and with success probabilities that can be sufficient for practical applications.…”

Section: Special Coherent-state Representationsmentioning

confidence: 99%

Even and Odd Schrödinger Cat States in the Probability Representation of Quantum Mechanics

Ádám

Man’ko

2022

J Russ Laser Res

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We consider even and odd coherent states (Schrödinger cat states) in the probability representation of quantum mechanics. The probability representation of the cat states is explicitly given using the formalism of quantizer and dequantizer operators, that provides the existence of an invertible map of operators acting in a Hilbert space onto functions called symbols of the operators. We employ a special set of quantizers and dequantizers to construct Wigner functions of the Schrödinger cat states and obtain the relation of the Wigner functions and the probability distributions by means of the Radon integral transform. The notion of entangled classical probability distributions is introduced in probability theory.

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Section: Special Coherent-state Representationsmentioning

confidence: 99%

Even and Odd Schrödinger Cat States in the Probability Representation of Quantum Mechanics

Ádám

Man’ko

2022

J Russ Laser Res

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“…Single-photon sources (SPS) are the key elements in numerous applications in the field of quantum information processing [1][2][3][4][5][6][7][8][9][10][11][12][13][14] and photonic quantum technology [15][16][17][18][19]. Heralded single-photon sources (HSPS) based on spontaneous parametric down-conversion (SPDC) [20][21][22][23][24][25][26][27] and spontaneous four-wave mixing (SFWM) [28][29][30][31] are promising candidates for realizing periodic SPS.…”

Section: Introductionmentioning

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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“…Construction of periodic single-photon sources (PSPS) is subject to intensive research due to the numerous applications of such devices in quantum information processing [1][2][3][4][5][6][7][8][9][10][11][12][13] and photonic quantum technology [14][15][16][17][18]. The most promising realization of PSPS are the heralded single-photon sources (HSPS) based on heralding one member (termed as the signal) of a correlated photon pair generated in nonlinear optical media by detecting the other member (referred to as the idler) of the photon pair.…”

Section: Introductionmentioning

confidence: 99%

Optimization of multiplexed single-photon sources operated with photon-number-resolving detectors

Bodog,

Mechler,

Koniorczyk

et al. 2020

Preprint

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Detectors inherently capable of resolving photon numbers have undergone a significant development recently, and this is expected to affect multiplexed periodic single-photon sources where such detectors can find their applications. We analyze various spatially and time-multiplexed periodic single-photon source arrangements with photon-number-resolving detectors, partly to identify the cases when they outperform those with threshold detectors. We develop a full statistical description of these arrangements in order to optimize such systems with respect to maximal single-photon probability, taking into account all relevant loss mechanisms. The model is suitable for the description of all spatial and time multiplexing schemes. Our detailed analysis of symmetric spatial multiplexing identifies a particular range of loss parameters in which the use of the new type of detectors leads to an improvement. Photon number resolution opens an additional possibility for optimizing the system in that the heralding strategy can be defined in terms of actual detected photon numbers. Our results show that this kind of optimization opens an additional parameter range of improved efficiency. Moreover, this higher efficiency can be achieved by using less multiplexed units, i.e., smaller system size as compared to threshold-detector schemes. We also extend our investigation to certain time-multiplexed schemes of actual experimental relevance. We find that the highest single-photon probability is 0.907 that can be achieved by binary bulk time multiplexers using photon-number-resolving detectors.

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Conditional generation of optical Schrödinger cat states

Cited by 10 publications

References 13 publications

Even and Odd Schrödinger Cat States in the Probability Representation of Quantum Mechanics

Even and Odd Schrödinger Cat States in the Probability Representation of Quantum Mechanics

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

Optimization of multiplexed single-photon sources operated with photon-number-resolving detectors

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