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The locking effect is a phenomenon which is unique to quantum information theory and represents one of the strongest separations between the classical and quantum theories of information. The Fawzi-Hayden-Sen (FHS) locking protocol…

Cryptography with quantum states exhibits a number of surprising and counterintuitive features. In a 2002 work, Barnum et al. argue that these features imply that digital signatures for quantum states are impossible (Barnum et al., FOCS…

Quantum Physics · Physics 2021-12-22 Gorjan Alagic , Tommaso Gagliardoni , Christian Majenz

Covert and secret quantum key distribution aims at generating information-theoretically secret bits between distant legitimate parties in a manner that remains provably undetectable by an adversary. We propose a framework in which to…

Information Theory · Computer Science 2019-05-29 Mehrdad Tahmasbi , Matthieu R. Bloch

Complementarity is an essential feature of quantum mechanics. The preparation of an eigenstate of one observable implies complete randomness in its complementary observable. In quantum cryptography, complementarity allows us to formulate…

Quantum Physics · Physics 2022-10-12 Xingjian Zhang , Pei Zeng , Tian Ye , Hoi-Kwong Lo , Xiongfeng Ma

Classical and quantum information theory are simply explained. To be more specific it is clarified why Shannon entropy is used as measure of classical information and after a brief review of quantum mechanics it is possible to demonstrate…

Quantum Physics · Physics 2007-05-23 Nikolaos P. Papadakos

In contrast to classical public-key cryptosystems, where the security of encoded messages relies on on computational assumptions, Quantum Key Distribution (QKD) enables two distant parties to establish a shared secret key that, when…

Entropically secure encryption is a way to encrypt a large plaintext with a small key and still have information-theoretic security, thus in a certain sense circumventing Shannon's result that perfect encryption requires the key to be at…

Quantum Physics · Physics 2025-07-01 Mehmet Huseyin Temel , Boris Skoric

In quantum cryptography, the level of security attainable by a protocol which implements a particular task $N$ times bears no simple relation to the level of security attainable by a protocol implementing the task once. Useful partial…

Quantum Physics · Physics 2007-05-23 Adrian Kent

We addressed the question of optimality of private quantum channels. We have shown that the Shannon entropy of the classical key necessary to securely transfer the quantum information is lower bounded by the entropy exchange of the private…

Quantum Physics · Physics 2009-11-13 Jan Bouda , Mario Ziman

Sealing information means making it publicly available, but with the possibility of knowing if it has been read. Commenting on [1], we will show that perfect quantum sealing is not possible for perfectly retrievable information, due to the…

Quantum Physics · Physics 2007-05-23 H. Bechmann-Pasquinucci , G. M. D'Ariano , C. Macchiavello

Quantum bit seal is a way to encode a classical bit quantum mechanically so that everyone can obtain non-zero information on the value of the bit. Moreover, such an attempt should have a high chance of being detected by an authorized…

Quantum Physics · Physics 2009-11-11 H. F. Chau

We consider a Shannon cipher system for memoryless sources, in which distortion is allowed at the legitimate decoder. The source is compressed using a rate distortion code secured by a shared key, which satisfies a constraint on the…

Information Theory · Computer Science 2016-11-17 Nir Weinberger , Neri Merhav

We present a new idea to design perfectly secure information exchange protocol, based on so called Deep Randomness, which means randomness relying on hidden probability distribution. Such idea drives us to introduce a new axiom in…

Cryptography and Security · Computer Science 2019-01-08 Thibault de Valroger

A number of questions associated with practical implementations of quantum cryptography systems having to do with unconditional secrecy, computational loads and effective secrecy rates in the presence of perfect and imperfect sources are…

Quantum Physics · Physics 2007-05-23 G. Gilbert , M. Hamrick

The security of quantum key distribution (QKD) is quantified by a parameter $\varepsilon>0$, which -- under well-defined physical assumptions -- can be bounded explicitly. This contrasts with computationally secure schemes, where security…

Quantum Physics · Physics 2025-09-18 Carla Ferradini , Martin Sandfuchs , Ramona Wolf , Renato Renner

Public-key cryptosystems for quantum messages are considered from two aspects: public-key encryption and public-key authentication. Firstly, we propose a general construction of quantum public-key encryption scheme, and then construct an…

Quantum Physics · Physics 2012-05-11 Min Liang , Li Yang

We describe generalized running key ciphers and apply them for analysis of two Shannon's methods. In particular, we suggest some estimation of the cipher equivocation and the probability of correct deciphering without key.

Cryptography and Security · Computer Science 2016-05-03 Boris Ryabko

We derive a simple relation between a quantum channel's capacity to convey coherent (quantum) information and its usefulness for quantum cryptography.

Quantum Physics · Physics 2009-10-30 Benjamin Schumacher , Michael D. Westmoreland

This paper revisits formalizations of information-theoretic security for symmetric-key encryption and key agreement protocols which are very fundamental primitives in cryptography. In general, we can formalize information-theoretic security…

Cryptography and Security · Computer Science 2014-10-07 Mitsugu Iwamoto , Kazuo Ohta , Junji Shikata

In analogy to the well-known notion of finite--state compressibility of individual sequences, due to Lempel and Ziv, we define a similar notion of "finite-state encryptability" of an individual plaintext sequence, as the minimum asymptotic…

Information Theory · Computer Science 2012-01-10 Neri Merhav