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arXiv:2308.01793 · Physical Review A

Spectrum-to-position mapping via programmable spatial dispersion implemented in an optical quantum memory

Marcin Jastrzębski, Stanisław Kurzyna, Bartosz Niewelt, Mateusz Mazelanik, Wojciech Wasilewski, Michal P. Parniak

Published Jan 10, 2024• 4 citations
arXivHTMLPDF

Abstract

Spectrotemporal processing is essential in reaching ultimate per-photon information capacity in optical communication and metrology. In contrast to the spatial domain, multimode processing in the time-frequency domain is, however, challenging. Here, we propose a protocol for spectrum-to-position conversion using the spatial spin wave modulation technique in gradient echo quantum memory. This way we link the two domains and allow the processing to be performed purely on the spatial modes using conventional optics. We present the characterization of our interface as well as the frequency estimation uncertainty discussion, including comparison with the Cram\'er-Rao bound. The experimental results are backed up by numerical simulations. The measurements were performed on a single-photon level demonstrating low added noise and proving applicability in a photon-starved regime. Our results hold prospects for ultraprecise spectroscopy and present an opportunity to enhance many protocols in quantum and classical communication, sensing, and computing.

DOI
10.1103/physreva.109.012418

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Existing super-resolution methods of optical imaging hold a solid place as an application in natural sciences, but many new developments allow for beating the diffraction limit in a more subtle way. One of the recently explored strategies to fully exploit information already present in the field is to perform a quantum-inspired tailored measurements. Here we exploit the full spectral information of the optical field in order to beat the Rayleigh limit in spectroscopy. We employ an optical quantum memory with spin-wave storage and an embedded processing capability to implement a time-inversion interferometer for input light, projecting the optical field in the symmetric-antisymmetric mode basis. Our tailored measurement achieves a resolution of 15 kHz and requires 20 times less photons than a corresponding Rayleigh-limited conventional method. We demonstrate the advantage of our technique over both conventional spectroscopy and heterodyne measurements, showing potential for application in distinguishing ultra-narrowband emitters, optical communication channels, or signals transduced from lower-frequency domains.
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Sender authentication is an important requirement for secure quantum communication networks. We propose programmable photon-echo quantum memory processing of a multi-time-bin photonic qudit for implementing a quantum-hash-based verification protocol. In this approach, using QM, sender (Alice) generates a quantum hash state by transforming a single stored photonic wave packet into the programmable photonic qudit. Bob's memory coherently maps the received time-bin photonic qudit into a single output mode according to phase encoding. Our scheme relies on a time-resolved coherent detection method introduced here, in which the coherent responses from individual time-bins are sequentially accumulated within Bob's spin coherence prior to the final sender verification. The key advantage of this coherent detection for quantum hashing is shown, and its potential applications are also discussed. The performed analysis demonstrates that experimentally verified parameters of contemporary optical quantum memories enable a proof of principle realization of the proposed architecture. These results reveal an additional role for quantum memories, serving not only as synchronization and repeater resources for long-distance quantum communication, but also as active elements for quantum hashing in conventional quantum key distribution systems.
Existing super-resolution methods of optical imaging hold a solid place as an application in multiple sciences, but many new developments allow beating of diffraction limit in better and more subtle ways. An avenue was opened by suggesting to fully exploit information already present in the field by performing quantum-inspired tailored measurements. Here we exploit the full spectral information of the optical field in order to beat the Rayleigh limit in spectroscopy. We employ optical quantum memory with spin-wave storage and an embedded processing capability to implement a timeinversion interferometer for input light, projecting the optical field in the symmetricanti-symmetric mode basis. Our tailored measurement achieves a resolution of 15 kHz and requires 20.1 times less photons than a corresponding Rayleigh-limited conventional method. We demonstrate the advantage of our technique over both conventional spectroscopy and heterodyne measurements, showing potential for application in distinguishing ultra-narrowband emitters, optical communication channels, or signals transduced from lower-frequency domains.