微雲全像公司開發基於量子行走的疊加和糾纏性質的量子隨機數產生器（QRNG）

MicroCloud致力於為全球客戶提供領先的全息技術服務。

SHENZHEN, China, Jan. 22, 2025 /PRNewswire/ -- Recently, MicroCloud Hologram Inc. (NASDAQ: HOLO), ("HOLO" or the "Company"), a technology service provider, made a new research breakthrough. They have constructed a quantum random number generator (QRNG) of the properties of superposition and entanglement entirely based on quantum walks.

中國深圳2025年1月22日/美通社/ -- 近日，科技服務供應商微雲全息科技有限公司（納斯達克股票代碼：HOLO）（「HOLO」或「公司」）取得了新的研究突破。他們完全基於量子行走構建了具有疊加和糾纏性質的量子隨機數產生器（QRNG）。

Quantum walks, as a process of quantum state evolution, possess unique properties of superposition and entanglement. HOLO has cleverly utilized these properties to construct the quantum random number generator (QRNG). Quantum walks offer several advantages, among which the ability to generate multiple bits from a single qubit is particularly noteworthy. In traditional random number generation methods, obtaining multiple bits from a single bit source faces many limitations, while quantum walks break through these constraints, greatly enhancing the efficiency and flexibility of random number generation.

量子行走作為量子態演化的過程，具有獨特的疊加和糾纏性質。 HOLO巧妙地利用這些特性建構了量子隨機數產生器（QRNG）。量子行走具有多種優勢，其中從單一量子位元產生多個位元的能力尤其值得注意。在傳統的隨機數產生方法中，從單一位元來源獲取多個位元面臨許多限制，而量子遊走則突破了這些限制，大大增強了隨機數產生的效率和靈活性。

In any practical system, the application of quantum walks has certain limitations. The practical limits are primarily determined by the number of quantum walk steps that can be achieved experimentally. For example, in experimental scenarios such as nuclear magnetic resonance, ion trapping, cold atoms, and photonic systems, the number of quantum walk steps is constrained by factors like the precision of experimental equipment and environmental noise interference. However, HOLO, through in-depth analysis and numerical simulations, has found that despite these limitations, the dynamics of quantum walks can still significantly enhance the randomness of the particle's initial state.

在任何實際系統中，量子行走的應用都有一定的限制。實際限制主要由實驗上可實現的量子行走步數決定。例如，在核磁共振、離子捕獲、冷原子、光子系統等實驗場景中，量子行走步數受到實驗設備精度、環境雜訊幹擾等因素的限制。然而，HOLO透過深入分析和數值模擬發現，儘管有這些限制，量子行走的動力學仍然可以顯著增強粒子初始狀態的隨機性。

In their research, HOLO considers a special form of randomness quantification in quantum systems, namely the inherent randomness of measurements, which has been quantified as coherent measurement. Through the study of coherent measurements, HOLO further clarifies the operational aspects of quantum coherence. Quantum coherence is one of the key characteristics that distinguish quantum systems from classical systems, and a deeper understanding of its operational aspects helps to better utilize quantum properties for random number generation.

HOLO 在他們的研究中考慮了量子系統中隨機性量化的一種特殊形式，即測量的固有隨機性，它已被量化為相干測量。透過相干測量的研究，HOLO 進一步闡明了量子相干性的操作面向。量子相干性是區分量子系統與經典系統的關鍵特徵之一，對其操作方面的更深入理解有助於更好地利用量子特性來產生隨機數。

Since the QRNG protocol proposed by HOLO is entirely based on discrete-time quantum walk (DTQW) dynamics, it requires good randomness metrics to be incorporated in both the position and coin spaces. In the theoretical framework of quantum walks, coin space and position space are two key concepts. The coin space is analogous to the probability distribution in classical random processes, while the position space describes the particle's position state in space.

由於HOLO提出的QRNG協議完全基於離散時間量子遊走（DTQW）動力學，因此它需要在位置和硬幣空間中納入良好的隨機度量。在量子行走的理論架構中，硬幣空間和位置空間是兩個關鍵概念。硬幣空間類似於經典隨機過程中的機率分佈，而位置空間描述了粒子在空間中的位置狀態。

To assess the randomness associated with the coin space, HOLO employs a specific method. First, it is necessary to trace a portion of the Hilbert space related to the position space from the density matrix. The density matrix is a crucial tool in quantum mechanics for describing the state of a quantum system, and by manipulating it, information related to specific spaces can be extracted. After tracing out the portion related to the position space, HOLO can calculate the randomness described in the method section from the simplified density matrix. This calculation method, based on relevant theories in quantum information theory, enables accurate quantification of randomness in the coin space.

為了評估與幣空間相關的隨機性，HOLO 採用了特定的方法。首先，需要從密度矩陣中追蹤與位置空間相關的希爾伯特空間的一部分。密度矩陣是量子力學中描述量子系統狀態的重要工具，透過操縱它，可以提取與特定空間相關的資訊。在追蹤與位置空間相關的部分後，HOLO可以從簡化的密度矩陣中計算出方法部分中所述的隨機性。這種計算方法基於量子資訊理論的相關理論，能夠精確量化硬幣空間的隨機性。

Similarly, by tracing the coin space, HOLO can calculate the randomness combined with the position space. Through separate calculations of the randomness in these two spaces and their comprehensive analysis, a thorough evaluation of the randomness quality of the quantum walk-based QRNG can be achieved. This dual consideration of randomness in both position and coin spaces makes the QRNG proposed by HOLO more comprehensive and reliable in terms of randomness generation.

同樣，透過追蹤幣空間，HOLO可以結合倉位空間來計算隨機性。透過分別計算這兩個空間的隨機性並對其進行綜合分析，可以實現基於量子遊走的QRNG的隨機性品質的全面評估。這種對部位和幣空間隨機性的雙重考慮，使得HOLO提出的QRNG在隨機性生成方面更加全面可靠。

Compared to traditional random number generation methods, HOLO's quantum walk-based QRNG offers significant advantages. Traditional random number generators are often limited by algorithms and hardware, and the random numbers they generate have certain limitations in terms of randomness and unpredictability. In contrast, the quantum walk-based QRNG leverages the inherent properties of quantum systems to generate truly random numbers, whose randomness is not constrained by classical algorithms, offering higher security and reliability.

與傳統的隨機數產生方法相比，HOLO 基於量子遊走的 QRNG 具有顯著的優勢。傳統的隨機數產生器往往受到演算法和硬體的限制，其產生的隨機數在隨機性和不可預測性方面有一定的限制。相較之下，基於量子行走的QRNG利用量子系統的固有特性來產生真正的隨機數，其隨機性不受經典演算法的限制，具有更高的安全性和可靠性。

In practical applications, HOLO's QRNG has broad prospects. In the field of cryptography, the security and randomness of random numbers are critical to encryption algorithms. The quantum walk-based QRNG can provide high-quality random keys for encryption algorithms, enhancing the security of cryptographic systems and effectively defending against various forms of attacks. In fields such as scientific computing and simulation, high-quality random numbers can also improve the accuracy and reliability of computational results, providing strong support for scientific research.

在實際應用中，HOLO的QRNG具有廣闊的前景。在密碼學領域，隨機數的安全性和隨機性對於加密演算法至關重要。基於量子遊走的QRNG可以為加密演算法提供高品質的隨機金鑰，增強密碼系統的安全性，有效防禦各種形式的攻擊。在科學計算和模擬等領域，高品質的隨機數還可以提高計算結果的準確性和可靠性，為科學研究提供強大的支持。

In the future, HOLO will continue to conduct in-depth research on quantum walk-based QRNG technology, constantly optimizing algorithms and experimental schemes, overcoming limitations in practical applications, and further improving the performance and stability of QRNGs.

未來，HOLO將繼續深入研究基於量子行走的QRNG技術，不斷優化演算法和實驗方案，克服實際應用中的局限性，進一步提高QRNG的性能和穩定性。

About MicroCloud Hologram Inc.

關於微雲全像公司

MicroCloud is committed to providing leading holographic technology services to its customers worldwide. MicroCloud's holographic technology services include high-precision holographic light detection and ranging ("LiDAR") solutions, based on holographic technology, exclusive holographic LiDAR point cloud algorithms architecture design, breakthrough technical holographic imaging solutions, holographic LiDAR sensor chip design and holographic vehicle intelligent vision technology to service customers that provide reliable holographic advanced driver assistance systems ("ADAS"). MicroCloud also provides holographic digital twin technology services for customers and has built

MicroCloud致力於為全球客戶提供領先的全息技術服務。微雲全像技術服務包括基於全像技術的高精度全像光探測與測距（「LiDAR」）解決方案、獨家全像LiDAR點雲演算法架構設計、突破性技術的全像成像解決方案、全像LiDAR感測器晶片設計和全像車輛智慧視覺技術為客戶提供可靠的全像高級駕駛輔助系統（“ADAS”）服務。微雲也為客戶提供全像數位孿生技術服務，並已建成