On-chip generation of photon-triplet states

Krapick, Stephan; Brecht, Benjamin; Herrmann, Harald; Quiring, Viktor; Silberhorn, Christine

doi:10.1364/oe.24.002836

Cited by 37 publications

(31 citation statements)

References 42 publications

(46 reference statements)

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“…Devices have recently been constructed that combine state generation and manipulation in a single chip [8,9]. Additionally, waveguide devices have recently been used to create more complicated states such as a two-photon NOON state and photon-triplet states [10,11].…”

Section: Introductionmentioning

confidence: 99%

Waveguide Cavity Resonator as a Source of Optical Squeezing

et al. 2017

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We present the generation of continuous-wave optical squeezing from a titanium-indiffused lithium niobate waveguide resonator. We directly measure 2.9 ± 0.1 dB of single-mode squeezing, which equates to a produced level of 4.9 ± 0.1 dB after accounting for detection losses. This device showcases the current capabilities of this waveguide architecture and precipitates more complicated integrated continuous-wave quantum devices in the continuous-variable regime.

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Section: Introductionmentioning

confidence: 99%

Waveguide Cavity Resonator as a Source of Optical Squeezing

et al. 2017

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“…The result is remarkable, because in general it is not possible to obtain simple analytical solutions when trying to factorize an exponential of multiple-mode operators using the well-known Hausdorff-Baker-Campbell approach to decoupling exponentials. We emphasize that the unitary operators (20) and (21) are equivalent, and the final state obtained under their action is also the same. Equation (21) is a matter of experimental or theoretical convenience.…”

Section: Generation Of Bisqueezed Tripartite Gaussian Statesmentioning

confidence: 99%

“…This is not a loss of generality: indeed, if the pumps have nonzero phases, χ ab = |χ ab |e iϕ ab , χ bc = |χ bc |e iϕ bc we can obtain the evolution U from Eq. (20) Here we use a recently developed technique [53,54] (see also [55] for an alternative approach) to obtain a more convenient representation of the operator (20), based on the Lie algebra structure of the SL(3,C) group [37]. In Appendix A we show that it is possible to re-write the operator (20) …”

Section: Generation Of Bisqueezed Tripartite Gaussian Statesmentioning

confidence: 99%

“…The field is developing fast, with several experimental platforms being used recently to generate tripartite states with high efficiency: cascaded parametric down-conversion setups employing two [17,18] or three separate crystals [19], nonlinear waveguides [20], quantum dots [21], and hybrid systems comprising a Rb-85 hot atom cell and a nonlinear waveguide [22]. The applications include, for example, quantum imaging [23], interferometry [24][25][26], and quantum computing using networks and cluster states [27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

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Entanglement, coherence, and redistribution of quantum resources in double spontaneous down-conversion processes

2017

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We study the properties of bisqueezed tripartite Gaussian states created by two spontaneous parametric down-conversion processes that share a common idler. We give a complete description of the quantum correlations across all partitions, as well as of the genuine multipartite entanglement, obtaining analytical expressions for most of the quantities of interest. We find that the state contains genuine tripartite entanglement, in addition to the bipartite entanglement among the modes that are directly squeezed. We also investigate the effect of homodyne detection of the photons in the common idler mode, and analyze the final reduced state of the remaining two signal modes. We find that this measurement leads to a conversion of the coherence of the two signal modes into entanglement, a phenomenon that can be regarded as a redistribution of quantum resources between the modes. The applications of these results to quantum optics and circuit quantum electrodynamics platforms are also discussed.

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“…Finally, we suggest that recent developments of integrated optics implementations of quantum experiments, where the photons are generated on a photonic chip [42][43][44], could be particularly useful to realize setups of the type proposed here. …”

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confidence: 99%

Quantum Experiments and Graphs: Multiparty States as Coherent Superpositions of Perfect Matchings

Krenn

Zeilinger

2017

Phys. Rev. Lett.

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We show a surprising link between experimental setups to realize high-dimensional multipartite quantum states and Graph Theory. In these setups, the paths of photons are identified such that the photon-source information is never created. We find that each of these setups corresponds to an undirected graph, and every undirected graph corresponds to an experimental setup. Every term in the emerging quantum superposition corresponds to a perfect matching in the graph. Calculating the final quantum state is in the complexity class #P-complete, thus cannot be done efficiently. To strengthen the link further, theorems from Graph Theory -such as Hall's marriage problem -are rephrased in the language of pair creation in quantum experiments. We show explicitly how this link allows to answer questions about quantum experiments (such as which classes of entangled states can be created) with graph theoretical methods, and potentially simulate properties of Graphs and Networks with quantum experiments (such as critical exponents and phase transitions).When a pair of photons is created, and one cannot -even in principle -determine what its origin is, the resulting quantum state is a coherent superposition of all possibilities [1,2]. This phenomenon has found a manifold of applications such as in spectroscopy [3], in quantum imaging [4], for the investigation of complementarity [5], in superconducting cavities [6] and for investigating quantum correlations [7]. By exploiting these ideas, the creation of a large number of highdimensional multipartite entangled states has been proposed recently [8] (inspired by computer-designed quantum experiments [9]).Here we show that Graph Theory is a very good abstract descriptive tool for such quantum experimental configuration: Every experiment corresponds to an undirected Graph, and every undirected Graph is associated with an experiment. On the one hand, we explicitly show how to translate questions from quantum experiments and answer them with graph theoretical methods. On the other hand, we rephrase theorems in Graph Theory and explain them in terms of quantum experiments.An important example for this link is the number of terms in the resulting quantum state for a given quantum experiment. It is the number of perfect matchings that exists in the corresponding graph -a problem that lies in the complexity class #P-complete [10]. Futhermore, the link can be used as a natural implementation for the experimental investigation of quantum random networks [11].Experiments and Graph -The optical setup for creating a 3-dimensional generalization of a 4-photon Greenberger-Horne-Zeilinger state [12,13] is shown in Fig. 1A [8]. The experiment consists of three layers of two down-conversion crystals each. Each crystal can create a pair of photons in the state |0, 0 , where the mode number could correspond to the orbital angular momentum (OAM) of photons [14][15][16] or some other (high-dimensional) degree-of-freedom. A laser pumps all of the six crystals coherently, such that two pairs of photons...

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On-chip generation of photon-triplet states

Cited by 37 publications

References 42 publications

Waveguide Cavity Resonator as a Source of Optical Squeezing

Waveguide Cavity Resonator as a Source of Optical Squeezing

Entanglement, coherence, and redistribution of quantum resources in double spontaneous down-conversion processes

Quantum Experiments and Graphs: Multiparty States as Coherent Superpositions of Perfect Matchings

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