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Uncertainty relations based on information theory for both discrete and continuous distribution functions are briefly reviewed. We extend these results to account for (differential) R\'{e}nyi entropy and its related entropy power. This…

量子物理 · 物理学 2015-02-24 Petr Jizba , Jacob A. Dunningham , Jaewoo Joo

Information entropies provide powerful and flexible way to express restrictions imposed by the uncertainty principle. This approach seems to be very suitable in application to problems of quantum information theory. It is typical that…

量子物理 · 物理学 2020-09-15 Alexey E. Rastegin

A Quantum Key Distribution (QKD) protocol describes how two remote parties can establish a secret key by communicating over a quantum and a public classical channel that both can be accessed by an eavesdropper. QKD protocols using…

信息论 · 计算机科学 2020-01-27 Esmaeil Karimi , Emina Soljanin , Philip Whiting

In theory, quantum key distribution (QKD) offers information-theoretic security. In practice, however, it does not due to the discrepancies between the assumptions used in the security proofs and the behaviour of the real apparatuses.…

量子物理 · 物理学 2023-03-29 Margarida Pereira , Go Kato , Akihiro Mizutani , Marcos Curty , Kiyoshi Tamaki

Using the wave-packet approach to neutrino oscillations, we analyze Quantum-Memory-Assisted Entropic Uncertainty Relations and show that uncertainty and the Non-local Advantage of Quantum Coherence are anti-correlated. Furthermore, we…

量子物理 · 物理学 2023-11-14 Massimo Blasone , Silvio De Siena , Cristina Matrella

Quantum data locking is a protocol that allows for a small secret key to (un)lock an exponentially larger amount of information, hence yielding the strongest violation of the classical one-time pad encryption in the quantum setting. This…

量子物理 · 物理学 2014-10-21 Cosmo Lupo , Seth Lloyd

For more than a decade, it was believed that unconditionally secure quantum bit commitment (QBC) is impossible. But basing on a previously proposed quantum key distribution scheme using orthogonal states, here we build a QBC protocol in…

量子物理 · 物理学 2015-03-18 Guang Ping He

In presence of quantum memory [M. Berta, M. Christandl, R. Colbeck, J.M. Renes, and R. Renner, Nature Phys. 6, 659 (2010)] the lower bound of entropic uncertainty relation depends on amount of entanglement between the particle (on which two…

量子物理 · 物理学 2012-04-23 T. Pramanik , P. Chowdhury

This research note suggests a new way to realize a high speed direct encryption based on quantum detection theory. The conventional cipher is designed by a mathematical algorithm and its security is evaluated by the complexity of the…

量子物理 · 物理学 2015-11-03 Osamu Hirota

Quantum key distribution (QKD) refers to specific quantum strategies which permit the secure distribution of a secret key between two parties that wish to communicate secretly. Quantum cryptography has proven unconditionally secure in ideal…

量子物理 · 物理学 2008-10-14 C. Rodó , O. Romero-Isart , K. Eckert , A. Sanpera

In this paper, we investigate properties of some multi-particle entangled states and, from the properties applying the secret sharing present a new type of quantum key distribution protocols as generalization of quantum key distribution…

量子物理 · 物理学 2007-05-23 Sora Choi , Jinsoo Kim , Dong Pyo Chi

Semi-quantum key distribution protocols are allowed to set up a secure secret key between two users. Compared with their full quantum counterparts, one of the two users is restricted to perform some "classical" or "semi-quantum" operations,…

量子物理 · 物理学 2017-06-16 Wei Zhang , Daowen Qiu , Paulo Mateus

In the history of quantum mechanics, various types of uncertainty relationships have been introduced to accommodate different operational meanings of Heisenberg uncertainty principle. We derive an optimized entropic uncertainty relation…

量子物理 · 物理学 2014-03-11 Kyunghyun Baek , Tristan Farrow , Wonmin Son

For classic systems, the thermodynamic uncertainty relation (TUR) states that the fluctuations of a current have a lower bound in terms of the entropy production. Some TURs are rooted in information theory, particularly derived from…

量子物理 · 物理学 2023-09-27 Domingos S. P. Salazar

To find the essential nature of quantum theory has been an important problem for not only theoretical interest but also applications to quantum technologies. In those studies on quantum foundations, the notion of uncertainty plays a primary…

量子物理 · 物理学 2022-03-01 Ryo Takakura

We study information theoretical security for space links between a satellite and a ground-station. Quantum key distribution (QKD) is a well established method for information theoretical secure communication, giving the eavesdropper…

量子物理 · 物理学 2021-07-07 A. Vazquez-Castro , D. Rusca , H. Zbinden

Fidelity and relative entropy are two significant quantities in quantum information theory. We study the quantum fidelity and relative entropy under unitary orbits. The maximal and minimal quantum fidelity and relative entropy between two…

量子物理 · 物理学 2014-01-15 Lin Zhang , Shao-Ming Fei

Heisenberg's uncertainty principle has recently led to general measurement uncertainty relations for quantum systems: incompatible observables can be measured jointly or in sequence only with some unavoidable approximation, which can be…

量子物理 · 物理学 2017-06-27 Alberto Barchielli , Matteo Gregoratti , Alessandro Toigo

Entropic uncertainty relations for the position and momentum within the generalized uncertainty principle are examined. Studies of this principle are motivated by the existence of a minimal observable length. Then the position and momentum…

量子物理 · 物理学 2017-06-09 Alexey E. Rastegin

We entertain the idea that the uncertainty relation is not a principle, but rather it is a consequence of quantum mechanics. The uncertainty relation is then a probabilistic statement and can be clearly evaded in processes which occur with…

量子物理 · 物理学 2011-08-31 Kazuo Fujikawa , Koichiro Umetsu