Simple method of generating and distributing frequency-entangled qudits

Jin, Rui; Shimizu, Ryosuke; Fujiwara, Mikio; Takeoka, Masahiro; Wakabayashi, Ryota; Yamashita, Taro; Miki, Shigehito; Terai, Hirotaka; Gerrits, Thomas; Sasaki, Masahide

doi:10.1088/2058-9565/1/1/015004

Cited by 61 publications

(48 citation statements)

References 44 publications

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“…Not surprisingly, in the past decades there has been a steady interest in engineering quantum states of high dimensions. Many engineering strategies have been theoretically proposed and experimentally realised in quantum optical systems using a variety of degrees of freedom, from time-energy [20,21] to polarization [22], path [23], orbital angular momentum [24][25][26][27][28] and frequency [29,30]. In general, such strategies depend strongly on the specific setting under consideration and a unified framework is lacking.…”

Section: Introductionmentioning

confidence: 99%

Quantum State Engineering Using One-dimensional Discrete-time Quantum Walks

Innocenti

Majury

Giordani

et al. 2018

Frontiers in Optics / Laser Science

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Quantum state preparation in high-dimensional systems is an essential requirement for many quantum-technology applications. The engineering of an arbitrary quantum state is, however, typically strongly dependent on the experimental platform chosen for implementation, and a general framework is still missing. Here we show that coined quantum walks on a line, which represent a framework general enough to encompass a variety of different platforms, can be used for quantum state engineering of arbitrary superpositions of the walker's sites. We achieve this goal by identifying a set of conditions that fully characterize the reachable states in the space comprising walker and coin, and providing a method to efficiently compute the corresponding set of coin parameters. We assess the feasibility of our proposal by identifying a linear optics experiment based on photonic orbital angular momentum technology.

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Section: Introductionmentioning

confidence: 99%

Quantum State Engineering Using One-dimensional Discrete-time Quantum Walks

Innocenti

Majury

Giordani

et al. 2018

Frontiers in Optics / Laser Science

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“…These include encodings based on energy time [6][7][8], time bins [9][10][11][12], orbital angular momentum [13][14][15], and frequency modes [16][17][18]. Thus, highly entangled states are now routinely created in all of these platforms.…”

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confidence: 99%

Quantifying Photonic High-Dimensional Entanglement

et al. 2017

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High-dimensional entanglement offers promising perspectives in quantum information science. In practice, however, the main challenge is to devise efficient methods to characterize high-dimensional entanglement, based on the available experimental data which is usually rather limited. Here we report the characterization and certification of high-dimensional entanglement in photon pairs, encoded in temporal modes. Building upon recently developed theoretical methods, we certify an entanglement of formation of 2.09(7) ebits in a time-bin implementation, and 4.1(1) ebits in an energy-time implementation. These results are based on very limited sets of local measurements, which illustrates the practical relevance of these methods.

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“…So, it can be concluded that HOM-type multi-photon interference is a differential-frequency interference. This is true not only for the two-photon HOM interference [14][15][16], but also for the four-photon HOM interference. Therefore, positively-correlated biphotons, i.e., around ω s − ω i = 0, exhibit different patterns from the one by the uncorrelated biphotons (ω s and ω i are arbitrary) or negativelycorrelated biphotons (ω s + ω i = ω p , with ω p as the angular frequency of the pump).…”

Section: Discussionmentioning

confidence: 86%

Monotonic quantum-to-classical transition enabled by positively correlated biphotons

et al. 2017

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Multiparticle interference is a fundamental phenomenon in the study of quantum mechanics. It was discovered in a recent experiment [Ra, Y.-S. et al, Proc. Natl Acad. Sci. USA 110, 1227] that spectrally uncorrelated biphotons exhibited a nonmonotonic quantum-to-classical transition in a four-photon Hong-Ou-Mandel (HOM) interference. In this work, we consider the same scheme with spectrally correlated photons. By theoretical calculation and numerical simulation, we found the transition not only can be nonmonotonic with negative-correlated or uncorrelated biphotons, but also can be monotonic with positive-correlated biphotons. The fundamental reason for this difference is that the HOM-type multi-photon interference is a differential-frequency interference. Our study may shed new light on understanding the role of frequency entanglement in multi-photon behavior.

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Simple method of generating and distributing frequency-entangled qudits

Cited by 61 publications

References 44 publications

Quantum State Engineering Using One-dimensional Discrete-time Quantum Walks

Quantum State Engineering Using One-dimensional Discrete-time Quantum Walks

Quantifying Photonic High-Dimensional Entanglement

Monotonic quantum-to-classical transition enabled by positively correlated biphotons

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