Quantum-limited determination of refractive index difference by means of entanglement

Reisner, Mattis; Mazeas, Florent; Dauliat, Romain; Leconte, Baptiste; Aktas, Djeylan; Cannon, Rachel; Roy, Philippe; Jamier, Raphaël; Sauder, Grégory; Kaiser, Florian; Tanzilli, Sébastien; Labonté, Laurent

doi:10.1038/s41534-022-00567-7

Cited by 10 publications

(4 citation statements)

References 33 publications

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“…From Eqs. (17)(18)(19), we find that the probability P c for a given photon pair to lead to a coincidence count is…”

Section: A Detection Probabilities and Timing Precisionmentioning

confidence: 89%

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Quantum metrology timing limits of the Hong-Ou-Mandel interferometer and of general two-photon measurements

Jordan¹,

Abrahão²,

Lundeen³

2022

Preprint

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We examine the precision limits of Hong-Ou-Mandel (HOM) timing measurements, as well as precision limits applying to generalized two-photon measurements. As a special case, we consider the use of two-photon measurements using photons with variable bandwidths and frequency correlations. When the photon bandwidths are not equal, maximizing the measurement precision involves a trade-off between high interference visibility and strong frequency anticorrelations, with the optimal precision occuring when the photons share non-maximal frequency anticorrelations. We show that a generalized measurement has precision limits that are qualitatively similar to those of the HOM measurement whenever the generalized measurement is insensitive to the net delay of both photons. By examining the performance of states with more general frequency distributions, our analysis allows for engineering of the joint spectral amplitude for use in realistic situations, in which both photons may not have ideal spectral properties.

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“…From Eqs. (17)(18)(19), we find that the probability P c for a given photon pair to lead to a coincidence count is…”

Section: A Detection Probabilities and Timing Precisionmentioning

confidence: 89%

“…The HOM interferometer is used in a variety of specific metrological timing-based tasks, including ranging [18], refractometry [19], as well as quantum-enhanced optical coherence tomography [20]. No single set of measurement parameters describes all measurements made with the technique.…”

Section: Introductionmentioning

confidence: 99%

Quantum metrology timing limits of the Hong-Ou-Mandel interferometer and of general two-photon measurements

Jordan¹,

Abrahão²,

Lundeen³

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…In the Type-0 and Type-I cases, the signal and idler photons have the same polarization, resulting in broad spectral distributions and narrow temporal distributions. This feature of broad spectra is advantageous in quantum metrology [8,9] , quantum optical coherence tomography [10] , and quantum spectroscopy [11,12] . Furthermore, the Type-0 matching condition has the highest effective nonlinear coefficient among all three nonlinear phase-matching conditions [7] .…”

Section: Introductionmentioning

confidence: 99%

Controllable transitions among phase-matching conditions in a single nonlinear crystal

Zeng,

You,

Yang

et al. 2024

中国光学快报

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Entangled photon pairs are crucial resources for quantum information processing protocols. Via the process of spontaneous parametric downconversion (SPDC), we can generate these photon pairs using bulk nonlinear crystals. Traditionally, the crystal is designed to satisfy a specific type of phase-matching condition. Here, we report controllable transitions among different types of phase matching in a single periodically poled potassium titanyl phosphate crystal. By carefully selecting pump conditions, we can satisfy different phase-matching conditions. This allows us to observe first-order Type-II, fifth-order Type-I, third-order Type-0, and fifth-order Type-II SPDCs. The temperature-dependent spectra of our source were also analyzed in detail. Finally, we discussed the possibility of observing more than nine SPDCs in this crystal. Our work not only deepens the understanding of the physics behind phase-matching conditions, but also offers the potential for a highly versatile entangled biphoton source for quantum information research.

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“…This feature derives from the indistinguishability of the two-photon states, which also produces the immu-nity to dispersion. As a consequence, the QOCT interferogram's visibility is independent of the sample's dispersion and absorption characteristics, making this quantum approach suitable for unknown biological samples [9].…”

Section: Introductionmentioning

confidence: 99%

Quantum-Optical Coherence Microscopy for Bio-imaging Applications

Yepiz-Graciano¹,

Ibarra-Borja²,

Alarcón³

et al. 2022

Preprint

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Quantum-optical coherence tomography (QOCT) is an optical sectioning modality based on the quantum interference of photon pairs [Nasr et al., Phys. Rev. Lett. 91, 083601 (2003)], obtained from a spontaneous parametric downconversion (SPDC) source. The promise of QOCT derives from two quantumconferred advantages when compared to equivalent classical optical coherence tomography (OCT) systems: a factor of 2 axial resolution enhancement, as well as dispersion cancellation. Despite its promise, the technique is far from being competitive with current OCT devices due to the long required acquisition times, derived from the low photon-pair emission rates. In this work, we on the one hand demonstrate a quantum optical coherence microscopy (QOCM) technique that is designed to overcome some of the limitations of previous QOCT implementations, and on the other hand test it on representative samples, including glass layers with manufactured transverse patterns and metal-coated biological specimens. In an effort to maintain as large a flux as possible, we use a collinear SPDC source, so that the entire emitted photon pair flux may contribute to the measurements, together with a multi-mode detection design. Consistent with the collinear design, we employ a Michelson interferometer with the sample placed as end-mirror in one of the interferometer arms, instead of the more typical Hong-Ou-Mandel used in QOCT implementations. In order to probe biological samples we transition from a Michelson to a Linnik interferometer by placing a microscope objective in the sample arm. In our setup, while the idler photon is collected with a multi-mode fiber, the signal photon is detected by an ICCD camera, leading to full-field transverse reconstruction through a single axial acquisition sequence. Interestingly, our setup permits concurrent OCT and QOCT trace acquisition, the former with greater counts and the latter with the benefit of quantum-conferred advantages. We 1

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Quantum-limited determination of refractive index difference by means of entanglement

Cited by 10 publications

References 33 publications

Quantum metrology timing limits of the Hong-Ou-Mandel interferometer and of general two-photon measurements

Quantum metrology timing limits of the Hong-Ou-Mandel interferometer and of general two-photon measurements

Controllable transitions among phase-matching conditions in a single nonlinear crystal

Quantum-Optical Coherence Microscopy for Bio-imaging Applications

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