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We characterize the complete set of protocols that may be used to securely encrypt n quantum bits using secret and random classical bits. In addition to the application of such quantum encryption protocols to quantum data security, our…

Quantum Physics · Physics 2007-05-23 P. Oscar Boykin , Vwani Roychowdhury

The Quantum Reverse Shannon Theorem has been a milestone in quantum information theory. It states that asymptotically reliable simulation of a quantum channel, assisted by unlimited shared entanglement, requires a rate of classical…

Quantum Physics · Physics 2025-02-18 Ke Li , Yongsheng Yao

Functional encryption is a powerful cryptographic primitive that enables fine-grained access to encrypted data and underlies numerous applications. Although the ideal security notion for FE (simulation security) has been shown to be…

Cryptography and Security · Computer Science 2026-01-27 Mohammed Barhoush , Arthur Mehta , Anne Müller , Louis Salvail

We derive a new entropic quantum uncertainty relation involving min-entropy. The relation is tight and can be applied in various quantum-cryptographic settings. Protocols for quantum 1-out-of-2 Oblivious Transfer and quantum Bit Commitment…

Quantum Physics · Physics 2007-08-19 Ivan B. Damgaard , Serge Fehr , Renato Renner , Louis Salvail , Christian Schaffner

Quantum cryptography allows one to distribute a secret key between two remote parties using the fundamental principles of quantum mechanics. The well-known established paradigm for the quantum key distribution relies on the actual…

Quantum Physics · Physics 2015-05-13 Tae-Gon Noh

Catch 22 of cryptography - "Before two parties can communicate in secret, they must first communicate in secret". The weakness of classical cryptographic communication systems is that secret communication can only take place after a key is…

Cryptography and Security · Computer Science 2010-06-29 Catalin Anghel

In this paper we consider the compressed sensing-based encryption and proposed the conditions in which the perfect secrecy is obtained. We prove when the Restricted Isometery Property (RIP) is hold and the number of measurements is more…

Information Theory · Computer Science 2016-02-02 Mahmoud Ramezani Mayiami , Babak Seyfe , Hamid G. Bafghi

Shannon's secrecy system is studied in a setting, where both the legitimate decoder and the wiretapper have access to side information sequences correlated to the source, but the wiretapper receives both the coded information and the side…

Information Theory · Computer Science 2007-07-13 Neri Merhav

Quantum cryptography is reviewed, first using entanglement both for the intuition and for the experimental realizations. Next, the implementation is simplified in several steps until it becomes practical. At this point entanglement has…

Quantum Physics · Physics 2007-05-23 Nicolas Gisin , Nicolas Brunner

In 1949, Shannon proved the perfect secrecy of the Vernam cryptographic system,also popularly known as the One-Time Pad (OTP). Since then, it has been believed that the perfectly random and uncompressible OTP which is transmitted needs to…

Cryptography and Security · Computer Science 2007-05-23 Nithin Nagaraj , Vivek Vaidya , Prabhakar G Vaidya

In a classical measurement the Shannon information is a natural measure of our ignorance about properties of a system. There, observation removes that ignorance in revealing properties of the system which can be considered to preexist prior…

Quantum Physics · Physics 2009-02-05 Caslav Brukner , Anton Zeilinger

Basic techniques to prove the unconditional security of quantum cryptography are described. They are applied to a quantum key distribution protocol proposed by Bennett and Brassard in 1984. The proof considers a practical variation on the…

Quantum Physics · Physics 2007-05-23 Dominic Mayers

The methods of quantum cryptography enable one to have perfectly secure communication lines, whereby the laws of quantum physics protect the privacy of the data exchanged. Each quantum-cryptography scheme has its own security criteria that…

We discuss aspects of secure quantum communication by proposing and analyzing a quantum analog of the Vernam cipher (one-time-pad). The quantum Vernam cipher uses entanglement as the key to encrypt quantum information sent through an…

Quantum Physics · Physics 2007-05-23 D. W. Leung

Noise causes severe difficulties in implementing quantum computing and quantum cryptography. Several schemes have been suggested to reduce this problem, mainly focusing on quantum computation. Motivated by quantum cryptography, we suggest a…

Quantum Physics · Physics 2007-05-23 T. Mor

The secrecy of a communication system in which both the legitimate receiver and an eavesdropper are allowed some distortion is investigated. The secrecy metric considered is the exponent of the probability that the eavesdropper estimates…

Information Theory · Computer Science 2017-04-04 Ibrahim Issa , Aaron B. Wagner

In encryption, non-malleability is a highly desirable property: it ensures that adversaries cannot manipulate the plaintext by acting on the ciphertext. Ambainis, Bouda and Winter gave a definition of non-malleability for the encryption of…

Quantum Physics · Physics 2017-10-05 Gorjan Alagic , Christian Majenz

In this paper, we investigate the index coding problem in the presence of an eavesdropper. Messages are to be sent from one transmitter to a number of legitimate receivers who have side information about the messages, and share a set of…

Information Theory · Computer Science 2016-11-17 Mohammad Mahdi Mojahedian , Mohammad Reza Aref , Amin Gohari

We present a quantum password checking protocol where secrecy is protected by the laws of quantum mechanics. The passwords are encoded in quantum systems that can be compared but have a dimension too small to allow reading the encoded bits.…

Quantum Physics · Physics 2016-08-23 J. C. Garcia-Escartin , P. Chamorro-Posada

Quantum computing had a profound impact on cryptography. Shor's discovery of an efficient quantum algorithm for factoring large integers implies that many existing classical systems based on computational assumptions can be broken, once a…

Quantum Physics · Physics 2008-06-24 Stephanie Wehner