Projection of Two Biphoton Qutrits onto a Maximally Entangled State

Halevy, Ayelet; Megidish, Eli; Shacham, Tomer; Dovrat, L.; Eisenberg, Henryk

doi:10.1103/physrevlett.106.130502

Cited by 17 publications

(15 citation statements)

References 40 publications

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“…For example, mode-entanglement [79][80][81], i.e. entanglement in the particle-number degree of freedom, is not subject to the bound, as well as schemes in which qudits are carried by several particles instead of a single one [53,[82][83][84] or techniques that exploit ancillaparticles [8,85]. An extension of our framework that explicitly incorporates these methods may shade light on their potential and quantify their advantage with respect to the paradigm that we considered here.…”

Section: Discussionmentioning

confidence: 99%

“…The presence of a photon in a mode is usually ensured by detection of the particle, which destroys the state; but also non-destructive, heralded preparation is possible with additional auxiliary photons [43]. Besides entanglement generation via propagation and post-selection, also the projection onto entangled states and the detection of entangled states is possible [18,53], which permits, e.g., to transfer photonic entanglement to massive particles [54].…”

Section: A Physical Situation and Versatility Requirementsmentioning

confidence: 99%

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Limits to multipartite entanglement generation with bosons and fermions

2013

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Many-photon interference in linear-optics setups can be exploited to generate and detect multipartite entanglement. Without recurring to any inter-particle interaction, many entangled states have been created experimentally, and a panoply of theoretical schemes for the generation of various classes of entangled states is available. Here, we present a unifying framework that accommodates the present experiments and theoretical protocols for the creation of multiparticle entanglement via interference. A general representation of the states that can be created is provided for bosons and fermions, for any particle number, and for any dimensionality of the entangled degree of freedom. Using this framework, we derive an upper bound on the generalized Schmidt number of the states that can be generated, and we establish bounds on the dimensionality of the manifold of these states. We show that -at the expense of a smaller success probability -more states can be created with bosons than with fermions, and give an intuitive interpretation of the state representation and of the established bounds in terms of superimposed many-particle paths.

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Section: Discussionmentioning

confidence: 99%

Section: A Physical Situation and Versatility Requirementsmentioning

confidence: 99%

Limits to multipartite entanglement generation with bosons and fermions

2013

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“…Such an efficient solution is presented in this article for the teleportation of the quantum information carried by an arbitrary number d of photonic levels. A different solution to challenge(ii) for qutrits (d = 3) can be found in [38]. An alternative teleportation scheme for general qudits based on quantum scissors together with a comparison to the present scheme is reported in [39].…”

mentioning

confidence: 99%

Qudit-Teleportation for photons with linear optics

Goyal

Boukama-Dzoussi

Ghosh

et al. 2014

Sci Rep

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Quantum Teleportation, the transfer of the state of one quantum system to another without direct interaction between both systems, is an important way to transmit information encoded in quantum states and to generate quantum correlations (entanglement) between remote quantum systems. So far, for photons, only superpositions of two distinguishable states (one “qubit”) could be teleported. Here we show how to teleport a “qudit”, i.e. a superposition of an arbitrary number d of distinguishable states present in the orbital angular momentum of a single photon using d beam splitters and d additional entangled photons. The same entanglement resource might also be employed to collectively teleport the state of d/2 photons at the cost of one additional entangled photon per qubit. This is superior to existing schemes for photonic qubits, which require an additional pair of entangled photons per qubit.

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“…In this paper, we will focus on the optical system and consider how to generate entangled qudit efficiently. There are many qudit definitions in optical systems, what we concern is the polarization degree of freedom of multi-photon qudit [25][26][27][28][29][30][31][32][33][34][35]. Using the photon number of vertical polarization as encoding, the definition of polarization qudit could be expressed as |j n ≡ |(n − j − 1)H, jV , for j = 0, · · · , n − 1, where n is the dimension, and H and V represent the horizontal and vertical polarizations.…”

Section: Introductionmentioning

confidence: 99%

Heralded generation of symmetric and asymmetric entangled qudits with weak cross-Kerr nonlinearity

Lin

2013

J. Opt. Soc. Am. B

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High dimensional entangled states have attracted much more attentions, due to their strong nonlocality and much powerful capability for quantum information processing. By the methods presented in this paper, arbitrary forms entangled qudits including symmetric and asymmetric forms could be generated with the weak cross-Kerr nonlinearity. These schemes are heralded by the detections of single-photon detectors. If all the detectors do not register any single photons, the generation is success with the probability 1/n M determined by dimension n and partite M . Furthermore, these schemes work well even with the common photon number nonresolving detectors, therefore they are feasible with the current experimental technology.

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Projection of Two Biphoton Qutrits onto a Maximally Entangled State

Cited by 17 publications

References 40 publications

Limits to multipartite entanglement generation with bosons and fermions

Limits to multipartite entanglement generation with bosons and fermions

Qudit-Teleportation for photons with linear optics

Heralded generation of symmetric and asymmetric entangled qudits with weak cross-Kerr nonlinearity

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