Entangling the optical frequency comb: Simultaneous generation of multiple 2 × 2 and 2 × 3 continuous-variable cluster states in a single optical parametric oscillator

Zaidi, Hussain; Menicucci, Nicolas C.; Flammia, Steven T.; Bloomer, Russell; Pysher, Matthew; Pfister, Olivier

doi:10.1134/s1054660x08050186

Cited by 39 publications

(79 citation statements)

References 30 publications

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“…Mathematically this result relied on showing a connection between continuousvariable cluster states and Hamiltonian graphs or H-graphs for short Flammia and Severini, 2009;Menicucci et al, 2008Menicucci et al, , 2007Zaidi et al, 2008). These Hgraphs correspond to those states produced by an OPO.…”

Section: Linear-optics Methodsmentioning

confidence: 99%

Gaussian quantum information

et al. 2012

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The science of quantum information has arisen over the last two decades centered on the manipulation of individual quanta of information, known as quantum bits or qubits. Quantum computers, quantum cryptography and quantum teleportation are among the most celebrated ideas that have emerged from this new field. It was realized later on that using continuous-variable quantum information carriers, instead of qubits, constitutes an extremely powerful alternative approach to quantum information processing. This review focuses on continuous-variable quantum information processes that rely on any combination of Gaussian states, Gaussian operations, and Gaussian measurements. Interestingly, such a restriction to the Gaussian realm comes with various benefits, since on the theoretical side, simple analytical tools are available and, on the experimental side, optical components effecting Gaussian processes are readily available in the laboratory. Yet, Gaussian quantum information processing opens the way to a wide variety of tasks and applications, including quantum communication, quantum cryptography, quantum computation, quantum teleportation, and quantum state and channel discrimination. This review reports on the state of the art in this field, ranging from the basic theoretical tools and landmark experimental realizations to the most recent successful developments.

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Section: Linear-optics Methodsmentioning

confidence: 99%

Gaussian quantum information

et al. 2012

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“…Recent efforts [20,24] have also focused on the possibility of using a single OPO (optical parametric oscillator, where the fields oscillate inside an optical cavity) as a means of generating CV multipartite entanglement and, in turn, a CV cluster state. In this scheme, a single optical cavity is pumped by a number of field modes.…”

Section: Introductionmentioning

confidence: 99%

“…[24] a single multimode OPA (note that we use OPA for optical parametric amplifier, which operates without an optical cavity) pumped by two field modes is considered in the undepleted pump approximation. A correspondence is shown between the CV multipartite entangled output from this scheme and a CV square-cluster state.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of a continuous-variable quadripartite cluster state from a single optical parametric oscillator

et al. 2010

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We examine the feasibility of generating continuous-variable multipartite entanglement in an intracavity concurrent downconversion scheme that has been proposed for the generation of cluster states by Menicucci et al. [Phys. Rev. Lett. 101, 130501 (2008)]. By calculating optimized versions of the van Loock-Furusawa correlations we demonstrate genuine quadripartite entanglement and investigate the degree of entanglement present. Above the oscillation threshold the basic cluster state geometry under consideration suffers from phase diffusion. We alleviate this problem by incorporating a small injected signal into our analysis. Finally, we investigate squeezed joint operators. While the squeezed joint operators approach zero in the undepleted regime, we find that this is not the case when we consider the full interaction Hamiltonian and the presence of a cavity. In fact, we find that the decay of these operators is minimal in a cavity, and even depletion alone inhibits cluster state formation.

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“…We have discovered that solutions always exist for CV GHZ 27 and even CV cluster states. 28,29 Considerable insight may be derived from using a version of the formalism of graph states. 30 The Hamiltonian describing the effect of a single, undepleted, classical pump mode in an OPO below threshold is of the form…”

Section: Introductionmentioning

confidence: 99%