量子香农信息理论-通信,密码和传感器的设计
Osamu Hirota1,2
1Quantum ICT Research Institute, Tamagawa University, 6-1-1, Tamagawa-Gakuen, Machida 194-8610, Japan.
Entropy (Basel, Switzerland)
|November 26, 2025
概括
量子香农信息理论提供了潜力,但面临着现实世界的局限性. 本研究提出了一个克服这些挑战的框架,使通信性能提高和密码安全.
科学领域:
- 信息理论 信息理论
- 量子信息科学 量子信息科学
- 通信系统工程 通信系统工程
背景情况:
- 香农理论,自1948年以来发展,是有效的信息和通信系统的基础,最大限度地减少错误和定义编码限制.
- 统计通信理论,包括检测和估计,支持香农理论.
- 量子香农信息理论,在20世纪60年代出现,探索信息传输的量子媒介,旨在超越经典的通信性能.
研究的目的:
- 确定将量子香农信息理论应用于实际通信系统的局限性.
- 为实现量子信息传输的最终目标提出一个理论框架.
- 为了证明一个完美安全的密码克服香农不可能定理,而不会降低性能.
主要方法:
- 量子香农信息理论的适用性和局限性的理论分析.
- 开发一种用于优化量子通信系统的新理论框架.
- 设计和呈现一个完美的安全密码作为一个实用的例子.
主要成果:
- 确定了阻碍量子香农信息理论在现实世界中应用的重大局限性.
- 建立了一个理论框架来解决这些局限性,并实现增强的通信性能.
- 提出了一个完美的安全密码,可以绕过香农不可能定理,保持通信效率.
结论:
- 量子香农信息理论是有前途的,但需要克服实际限制才能得到广泛采用.
- 拟议的理论框架为高级通信系统利用量子效应提供了一条途径.
- 开发的安全密码体现了量子信息理论在提高安全性和性能同时发挥的潜力.
相关概念视频
Design Example
521
The innovation of touch-tone telephony revolutionized the telecommunications industry by replacing the traditional rotary dial with a dual-tone multi-frequency (DTMF) signaling system. This system uses a matrix-style keypad with buttons arranged in four rows and three columns, creating 12 distinct signals each assigned to a pair of frequencies. Each button press results in a simultaneous generation of two sinusoidal tones – one from a low-frequency group (697 to 941 Hz) and one from a...
521
Signal and System
1.5K
A signal x(t) is a set of data or a time function representing a variable of interest. Signals typically convey information about a phenomenon, such as atmospheric temperature, humidity, human voice, television images, a dog's bark, or birdsongs. More generally, a signal can be a function of more than one independent variable. For instance, images depend on horizontal and vertical positions and can be regarded as two-dimensional signals. However, this text will focus on one-dimensional...
1.5K
Entropy
34.8K
Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
34.8K
Properties of the z-Transform I
593
The z-transform is a fundamental tool in digital signal processing, enabling the analysis of discrete-time systems through its various properties. It is an invaluable tool for analyzing discrete-time systems, offering a range of properties that simplify complex signal manipulations. One fundamental property is linearity. For any two discrete-time signals, the z-transform of their linear combination equals the same linear combination of their individual z-transforms. This property is essential...
593
Signal Flow Graphs
587
Signal-flow graphs offer a streamlined and intuitive approach to representing control systems, providing an alternative to traditional block diagrams. These graphs use branches to symbolize systems and nodes to represent signals, effectively illustrating the relationships and interactions within the system.
In a signal-flow graph, branches denote the system's transfer functions, while nodes represent the signals. The direction of signal flow is indicated by arrows, with the corresponding...
In a signal-flow graph, branches denote the system's transfer functions, while nodes represent the signals. The direction of signal flow is indicated by arrows, with the corresponding...
587
Communication
8.5K
Communication between two animals occurs when one animal transmits an information signal that causes a change in the animal that receives the information. Organisms communicate with one another in a host of different ways. Signals can be auditory, chemical, visual, tactile, or a combination of these. Communication is a critical behavioral adaptation that promotes survival, growth, and reproduction.
8.5K


