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Chinese Optics Letters

Visualized quantum 3D orbital-angular-momentum holography

Yi-Lin Hua, Yaodong Chen, Weijia Meng, Ke Cheng, Haitao Luan, Miṅ Gu, Xinyuan Fang

Published Jan 1, 2024• 2 citations
Publisher

Abstract

Currently, most quantum holography schemes adopt reconstructing images from the second-order correlation information or fiber scanning, which are both non-visualized, meanwhile making three-dimensional (3D) quantum holography a big challenge.Here, we implement the visualized quantum 3D orbital-angular-momentum (OAM) holography in the twin photon system, where the OAM-multiplexing hologram within two imaging planes and three OAM channels in the signal arm is selectively read out and directly displayed on an intensified CMOS camera by switching the OAM state in the idler arm.A thousands-of-times acceleration of the holographic reconstruction process is achieved with the maintenance of the OAM feature for each pixel compared to the scanning approach.The 3D imaging feature in a quantum holography system provides additional freedom for further improving the capacity of holographic information transmission and encryption.

DOI
10.3788/col202422.110501

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Currently, most quantum holography schemes adopt reconstructing images from the second-order correlation information or fiber scanning, which are both non-visualized, meanwhile making three-dimensional (3D) quantum holography a big challenge.Here, we implement the visualized quantum 3D orbital-angular-momentum (OAM) holography in the twin photon system, where the OAM-multiplexing hologram within two imaging planes and three OAM channels in the signal arm is selectively read out and directly displayed on an intensified CMOS camera by switching the OAM state in the idler arm.A thousands-of-times acceleration of the holographic reconstruction process is achieved with the maintenance of the OAM feature for each pixel compared to the scanning approach.The 3D imaging feature in a quantum holography system provides additional freedom for further improving the capacity of holographic information transmission and encryption.
We propose an orbital angular momentum (OAM) quantum holography scheme based on multi-mode Bessel-Gaussian (MBG) beams. Entangled photon pairs are generated through spontaneous parametric down-conversion (SPDC) process, and the axis prism parameters and topological charges of the idler photons are used for encoding to construct Bessel-Gaussian quantum selective holograms; then, the corresponding mode parameters carried by the signal photons are used for correlated decoding and information reconstruction. Theoretical analysis and numerical simulation results show that this scheme can effectively realize OAM quantum holography based on Bessel-Gaussian modes encoding. Compared with traditional single OAM encoding methods, our scheme introduce an additional mode degrees of freedom, which can enhance multiplexing dimension and encoding capacity; at the same time, relying on the non-classical correlation characteristics of entangled photons, quantum holography has a potential advantages in noise-resistance performance.
As an important imaging technique, holography has been realized with different physical dimensions of light, including polarization, wavelength, and time. Recently, quantum holography has been demonstrated by utilizing polarization entangled state with the advantages of high robustness and enhanced spatial resolution, comparing with classical holography. However, the polarization is only a two-dimensional degree of freedom, which greatly limits the capacity of quantum holography. Here, we propose a method to realize high-dimensional quantum holography by using high-dimensional orbital angular momentum (OAM) entanglement. A high-capacity OAM-encoded quantum holographic system can be obtained by multiplexing a wide range of OAM-dependent holographic images. Proof-of-principle experiments with four- and six-dimensional OAM entangled states have been implemented and verify the feasibility of our idea. Our experimental results also demonstrate that the high-dimensional quantum holography shows a high robustness to classical noise. What is more, the level of security of the holographic imaging encryption system can be greatly improved in our high-dimensional quantum holography.
Abstract Cryptography plays an important role in information security, which is widely applied in the various fields of society. Quantum cryptography has shown its great advantages in information security compared with the classical one. Two major directions of quantum cryptography are quantum key distribution (QKD) and quantum encryption, with the former focusing on secure key distribution and the latter focusing on encryption using quantum algorithms. In contrast to the well accepted success of the QKD, the development of quantum encryption is rather limited because of the difficulties of building up algorithms and the constructing the practical quantum computers. Here we propose a new scheme of quantum encryption based on high-dimensional entanglement holography. Firstly, we experimentally realize the quantum holography based on the high-dimensional orbital angular momentum (OAM) entanglement. Then, OAM-selective holographic scheme for quantum encryption is proposed and demonstrated. Our results show that introducing quantum entangled state into OAM holography makes the OAM holography possess infinite information channels and the transmission of information be absolute security in principle. Furthermore, decryption in the presence of strong noise is achieved. Our work opens up a new way to realize quantum information security.
This paper proposes an OAM quantum holography scheme based on multi-mode Bessel–Gauss (MBG) beams. Entangled photon pairs are generated through the SPDC process, and the axis prism parameters and topological charges of the idler photons are used for encoding to construct Bessel–Gauss quantum selective holograms; then, the corresponding mode parameters carried by the signal photons are used for correlated decoding and information reconstruction. Theoretical analysis and numerical simulation results show that this scheme can effectively realize OAM quantum holography based on Bessel–Gauss mode encoding, verifying its correctness and feasibility. Compared with traditional single OAM encoding methods, this scheme introduces additional mode degrees of freedom, enhancing the system’s multiplexing dimension and encoding capacity; at the same time, relying on the non-classical correlation characteristics of entangled photons, quantum holography has potential advantages in noise-resistance performance.
The orbital angular momentum of light (OAM) is a fundamental property of light. Beams with OAM have a helical wave front that carries quantized orbital angular momentum L hbar per photon, where L is any integer. This unbounded Hilbert space can increase information capacity of both classical and quantum communications and also improve and extend qubit and qudit quantum algorithms. Additionally, the use of the OAM modes allows for novel imaging techniques to directly observe and measure various topological properties of objects ranging from defects in semiconductors to rotating black holes and extrasolar planets. However, measuring such higher dimensional OAM states is fundamentally important, albeit challenging, in order to use this rich degree of freedom. In the work that follows, I present two novel OAM to time mapping schemes and an application using the higher dimensionality of OAM to non-destructively probe quantum states. These are the first OAM measuring schemes to use the temporal degree of freedom to measure OAM. The use of the novel loop nature allows for high fidelity and high speed measurements of a large number of OAM states without significant increase in experimental resources. The first scheme experimentally demonstrates a compact and practical device to measure the OAM spectrum. I report a fidelity of -21.3 dB for 5 different OAM states. The second scheme extends the first, but uses non-demolition measurements to iteratively test for specific OAM values. While this increases experimental complexity, it allows for the detection of an arbitrarily large OAM value from a single photon. I also discuss details of each technique investigate the affects of misalignment on the OAM spectrum. In the remaining part, I discuss my novel generalized quantum Zeno interrogation. The original quantum Zeno interrogation is limited to the two-dimensional state of a single object; while the generalized version has the ability to non-destructively probe the quantum state a set of objects, and deterministically imprint that information onto a single photon using the OAM degree of freedom.
Multiplexing techniques combine multiple signals into one channel, in order to increase the channel capacity and speed. Here we propose a correlation-based imaging method to efficiently measure the quantum states of orbital-angular-momentum (OAM)-multiplexed Gaussian light. The covariance matrices for all OAM components of the multiplexed Gaussian light can be efficiently reconstructed by one homodyne measurement on each beam. We also show that the proposed scheme can be simplified and implemented with only two charge coupled device detectors.