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We introduce the notion of "non-malleability" of a quantum state encryption scheme (in dimension d): in addition to the requirement that an adversary cannot learn information about the state, here we demand that no controlled modification…

Quantum Physics · Physics 2017-08-01 Andris Ambainis , Jan Bouda , Andreas Winter

Despite enormous progress both in theoretical and experimental quantum cryptography, the security of most current implementations of quantum key distribution is still not established rigorously. One of the main problems is that the security…

Quantum Physics · Physics 2012-10-18 Marco Tomamichel , Charles Ci Wen Lim , Nicolas Gisin , Renato Renner

The consistency of the Shannon entropy, when applied to outcomes of quantum experiments, is analysed. It is shown that the Shannon entropy is fully consistent and its properties are never violated in quantum settings, but attention must be…

Quantum Physics · Physics 2007-05-23 P. G. L. Mana

Secret sharing of a quantum state, or quantum secret sharing, in which a dealer wants to share certain amount of quantum information with a few players, has wide applications in quantum information. The critical criterion in a threshold…

Quantum Physics · Physics 2016-07-20 He Lu , Zhen Zhang , Luo-Kan Chen , Zheng-Da Li , Chang Liu , Li Li , Nai-Le Liu , Xiongfeng Ma , Yu-Ao Chen , Jian-Wei Pan

Quantum error-correcting codes are analyzed from an information-theoretic perspective centered on quantum conditional and mutual entropies. This approach parallels the description of classical error correction in Shannon theory, while…

Quantum Physics · Physics 2008-12-18 Nicolas J. Cerf , Richard Cleve

We present a quantum information theory that allows for a consistent description of entanglement. It parallels classical (Shannon) information theory but is based entirely on density matrices (rather than probability distributions) for the…

Quantum Physics · Physics 2009-10-30 Nicolas J. Cerf , Chris Adami

We prove the security of theoretical quantum key distribution against the most general attacks which can be performed on the channel, by an eavesdropper who has unlimited computation abilities, and the full power allowed by the rules of…

Quantum Physics · Physics 2007-07-16 Eli Biham , Michel Boyer , P. Oscar Boykin , Tal Mor , Vwani Roychowdhury

In this paper, we first define the quantum discrete logarithm problem (QDLP)which is similar to classical discrete logarithm problem. But, this problem cannot be solved by Shor's quantum algorithm. Based on quantum discrete logarithm…

Quantum Physics · Physics 2007-05-23 Chien-Yuan Chen , Chih-Cheng Hsueh

The existing unconditional security definitions of quantum key distribution (QKD) do not apply to joint attacks over QKD and the subsequent use of the resulting key. In this paper, we close this potential security gap by using a universal…

Quantum Physics · Physics 2007-05-23 M. Ben-Or , Michal Horodecki , D. W. Leung , D. Mayers , J. Oppenheim

Bit commitment involves the submission of evidence from one party to another so that the evidence can be used to confirm a later revealed bit value by the first party, while the second party cannot determine the bit value from the evidence…

Quantum Physics · Physics 2007-05-23 Horace P. Yuen

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…

Quantum Physics · Physics 2014-10-21 Cosmo Lupo , Seth Lloyd

We introduce a new type of cryptographic primitive that we call hiding fingerprinting. A (quantum) fingerprinting scheme translates a binary string of length $n$ to $d$ (qu)bits, typically $d\ll n$, such that given any string $y$ and a…

Quantum Physics · Physics 2022-03-30 Dmytro Gavinsky , Tsuyoshi Ito

Uncloneable encryption is a cryptographic primitive which encrypts a classical message into a quantum ciphertext, such that two quantum adversaries are limited in their capacity of being able to simultaneously decrypt, given the key and…

Quantum Physics · Physics 2024-10-31 Pierre Botteron , Anne Broadbent , Eric Culf , Ion Nechita , Clément Pellegrini , Denis Rochette

All the currently available unconditional security proofs on quantum key distribution, in particular for the BB84 protocol and its variants including continuous-variable ones, are invalid or incomplete at many points. In this paper we…

Quantum Physics · Physics 2013-10-23 Horace P. Yuen

We propose a definition for the information theoretic security of a quantum public-key encryption scheme, and present bit-oriented and two-bit-oriented encryption schemes satisfying our security definition via the introduction of a new…

Quantum Physics · Physics 2015-03-17 Jiangyou Pan , Li Yang

The importance of quantum key distribution as a cryptographic method depends upon its purported strong security guarantee. The following gives reasons on why such strong security guarantee has not been validly established and why good QKD…

Quantum Physics · Physics 2014-09-23 Horace P. Yuen

Quantum key distribution (QKD) promises information-theoretic security based on quantum mechanics and idealized device models. Practical implementations, however, deviate from these models due to unavoidable device imperfections, and…

Quantum Physics · Physics 2026-05-14 Álvaro Navarrete , Guillermo Currás-Lorenzo , Margarida Pereira , Marcos Curty

Quantum Key Distribution (QKD) protocols rely on authenticated classical communication. Typical QKD security proofs are carried out in an idealized setting where authentication is assumed to behave honestly: it never aborts, and all…

Quantum Physics · Physics 2026-01-27 Devashish Tupkary , Shlok Nahar , Ernest Y. -Z. Tan

Quantum key distribution (QKD) promises secure key agreement by using quantum mechanical systems. We argue that QKD will be an important part of future cryptographic infrastructures. It can provide long-term confidentiality for encrypted…

Quantum Physics · Physics 2010-01-25 Douglas Stebila , Michele Mosca , Norbert Lütkenhaus

The Shannon cipher system is studied in the context of general sources using a notion of computational secrecy introduced by Merhav & Arikan. Bounds are derived on limiting exponents of guessing moments for general sources. The bounds are…

Information Theory · Computer Science 2010-08-12 Manjesh Kumar Hanawal , Rajesh Sundaresan
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