Tomographic reconstruction of time-bin-entangled qudits

Nowierski, Samantha J.; Oza, Neal N.; Kumar, Prem; Kanter, Gregory S.

doi:10.1103/physreva.94.042328

Cited by 15 publications

(8 citation statements)

References 40 publications

(36 reference statements)

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“…11. High-dimensional two-qudit state tomography of entangled photons has been demonstrated with encodings in time-binned modes [84,140], spectral binned-modes [141,142], and orbital angular momentum spatial modes [143]. To avoid the intense resource devotion needed for full tomographic reconstruction, properties such as entanglement can be verified with witnesses instead [144][145][146][147].…”

Section: Towards Applications Of Temporal Modes In Quantum Informatio...mentioning

confidence: 99%

Tailoring nonlinear processes for quantum optics with pulsed temporal-mode encodings

Ansari¹,

Donohue²,

Brecht³

et al. 2018

Optica

124

115

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The time-frequency degree of freedom is a powerful resource for implementing high-dimensional quantum information processing. In particular, field-orthogonal pulsed temporal modes offer a flexible framework compatible with both long-distance fibre networks and integrated waveguide devices. In order for this architecture to be fully utilised, techniques to reliably generate diverse quantum states of light and accurately measure complex temporal waveforms must be developed. To this end, nonlinear processes mediated by spectrally shaped pump pulses in group-velocity engineered waveguides and crystals provide a capable toolbox. In this review, we examine how tailoring the phasematching conditions of parametric downconversion and sum-frequency generation allows for highly pure single-photon generation, flexible temporal-mode entanglement, and accurate measurement of time-frequency photon states. We provide an overview of experimental progress towards these goals, and summarise challenges that remain in the field.

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Section: Towards Applications Of Temporal Modes In Quantum Informatio...mentioning

confidence: 99%

Tailoring nonlinear processes for quantum optics with pulsed temporal-mode encodings

Ansari¹,

Donohue²,

Brecht³

et al. 2018

Optica

124

115

View full text Add to dashboard Cite

show abstract

“…This figure is commonly used to describe how close the estimated state is to the actual one, e.g. [37][38][39]. Such a quantity can also be applied to test the efficiency of the quantum tomography framework in the case of simulated measurement results [40].…”

Section: B Performance Analysismentioning

confidence: 99%

Phase estimation of time-bin qudits by time-resolved single-photon counting

Czerwinski,

Sedziak-Kacprowicz,

Kolenderski

2020

Preprint

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We present a comprehensive framework for quantum state tomography (QST) of time-bin qudits sent through a fiber. Starting from basic assumptions, we define a positive-operator valued measure (POVM) which is then applied to the quantum state reconstruction problem. A realistic scenario is considered where the time uncertainty of the detector is treated as a source of experimental noise. The performance of the quantum tomography framework is examined through a series of numerical simulations conducted for different parameters describing the apparatus. The quality of state recovery, quantified by the notion of minimum fidelity, is depicted on graphs for a range of fiber lengths. Special attention is paid to relative phase reconstruction for qubits and qutrits. The results present relevant interdependence between the fiber length and the detector jitter.

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“…Currently, however, high-dimensional entanglement-entangled qudits-is attracting much attention because its larger Hilbert space allows us to enrich the functionality of quantum communications protocols. Entangled qudits have been investigated on the basis of various optical orthogonal modes, including orbital angular momentum (OAM) [14][15][16][17] , frequency [18][19][20] , time [21][22][23][24][25][26] , and combinations of different optical modes, or hyper entanglement 27 . Entangled qudits can be used to overcome the channel capacity limit for linear photonic superdense coding 28 .…”

Section: Introductionmentioning

confidence: 99%

Four-dimensional entanglement distribution over 100 km

Ikuta

Takesue

2018

Sci Rep

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High-dimensional quantum entanglement can enrich the functionality of quantum information processing. For example, it can enhance the channel capacity for linear optic superdense coding and decrease the error rate threshold of quantum key distribution. Long-distance distribution of a high-dimensional entanglement is essential for such advanced quantum communications over a communications network. Here, we show a long-distance distribution of a four-dimensional entanglement. We employ time-bin entanglement, which is suitable for a fibre transmission, and implement scalable measurements for the high-dimensional entanglement using cascaded Mach-Zehnder interferometers. We observe that a pair of time-bin entangled photons has more than 1 bit of secure information capacity over 100 km. Our work constitutes an important step towards secure and dense quantum communications in a large Hilbert space.

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Tomographic reconstruction of time-bin-entangled qudits

Cited by 15 publications

References 40 publications

Tailoring nonlinear processes for quantum optics with pulsed temporal-mode encodings

Tailoring nonlinear processes for quantum optics with pulsed temporal-mode encodings

Phase estimation of time-bin qudits by time-resolved single-photon counting

Four-dimensional entanglement distribution over 100 km

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