Spectral effects of strong<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mi>χ</mml:mi><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msup></mml:mrow></mml:math>nonlinearity for quantum processing

Leung, Patrick M.; Munro, William J.; Nemoto, Kae; Ralph, T. C.

doi:10.1103/physreva.79.042307

Cited by 13 publications

(15 citation statements)

References 14 publications

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“…Time-evolution of the vector state of the system is described by the following formula (11) with the Hamiltonians (28)- (30). Choosing the initial state as a vacuum state |ψ in = |0 a1 |0 a2 |0 b1 |0 b2 for all modes we derive the final state during time evaluation in the following form…”

Section: Production Of Ghz Polarization Entangled Statesmentioning

confidence: 99%

Three-photon states in nonlinear crystal superlattices

2011

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It has been a longstanding goal in quantum optics to realize controllable sources generating joint multiphoton states, particularly, photon triplet with arbitrary spectral characteristics. We demonstrate that such sources can be realized via cascaded parametric down-conversion (PDC) in superlattice structures of nonlinear and linear segments. We consider scheme that involves two parametric processes: ω0 → ω1 + ω2, ω2 → ω1 + ω1 under pulsed pump and investigate spontaneous creation of photon triplet as well as generation of high-intensity mode in intracavity three-photon splitting. We show preparation of Greenberger-Horne-Zeilinger polarization entangled states in cascaded type-II and type-I PDC in framework of consideration dual-grid structure that involves two periodically-poled crystals. We demonstrate the method of compensation of the dispersive effects in non-linear segments by appropriately chosen linear dispersive segments of superlattice for preparation heralded joint states of two polarized photons. In the case of intracavity three-photon splitting, we concentrate on investigation of photon-number distributions, third-order photon-number correlation function as well as the Wigner functions. These quantities are observed both for short interaction time intervals and in over transient regime, when dissipative effects are essential.

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Section: Production Of Ghz Polarization Entangled Statesmentioning

confidence: 99%

Three-photon states in nonlinear crystal superlattices

2011

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“…This is very challenging, and as an approximation, we will drop the time-ordering operator and expand U (t) as a Taylor series. In the scenario presented in this paper, we do not expect this type of approximation to be problematic, however, we acknowledge that problems may arise when considering input states of a quantum nature, as has been investigated by Leung et al [21]. A description of multiple pair creation in degenerate SPDC has also been analysed in the Heisenberg picture by Wasilewki et.…”

Section: Parametric Down Conversionmentioning

confidence: 82%

Optimized generation of heralded Fock states using parametric down-conversion

et al. 2010

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The generation of heralded pure Fock states via spontaneous parametric down conversion (PDC) relies on perfect photon-number correlations in the output modes. Correlations in any other degree of freedom, however, degrade the purity of the heralded state. In this paper, we investigate spectral entanglement between the two output modes of a periodically poled waveguide. With the intent of generating heralded 1-and 2-photon Fock states, we expand the output state of the PDC to second order in photon number. We explore the effects of spectral filtering and inefficient detection, of the heralding mode, on the count rate, g (2) and purity of the heralded state, as well as the fidelity between the resulting state and an ideal Fock state. We find that filtering can decrease spectral correlations, however, at the expense of the count rate and increased photon-number mixedness in the heralded output state. As a physical example, we model a type II PP-KTP waveguide pumped by lasers at wavelengths of 400 nm, 788 nm and 1.93 µm. The latter two allow the fulfillment of extended phase matching conditions in an attempt to eliminate spectral correlations in the PDC output state without the use of filtering, however, we find that even in these cases, some filtering is needed to achieve states of very high purity.

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“…Different strategies can be followed to avoid an unwanted change of the JSA. One solution is to use two or more crystals, of which each operates at low pump powers, as suggested in [24,25]. In between the crystals, all fields are shifted to their initial position in time.…”

Section: Engineered χ (2) Processesmentioning

confidence: 99%

Harnessing temporal modes for multi-photon quantum information processing based on integrated optics

Harder

Ansari

Bartley

et al. 2017

Phil. Trans. R. Soc. A.

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In the last few decades, there has been much progress on low loss waveguides, very efficient photon-number detectors and nonlinear processes. Engineered sum-frequency conversion is now at a stage where it allows operation on arbitrary temporal broadband modes, thus making the spectral degree of freedom accessible for information coding. Hereby the information is often encoded into the temporal modes of a single photon. Here, we analyse the prospect of using multi-photon states or squeezed states in different temporal modes based on integrated optics devices. We describe an analogy between mode-selective sum-frequency conversion and a network of spatial beam splitters. Furthermore, we analyse the limits on the achievable squeezing in waveguides with current technology and the loss limits in the conversion process.This article is part of the themed issue 'Quantum technology for the 21st century'.

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Spectral effects of strongχ(2)nonlinearity for quantum processing

Cited by 13 publications

References 14 publications

Three-photon states in nonlinear crystal superlattices

Three-photon states in nonlinear crystal superlattices

Optimized generation of heralded Fock states using parametric down-conversion

Harnessing temporal modes for multi-photon quantum information processing based on integrated optics

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