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We study the amplification of security against quantum attacks provided by iteration of block ciphers. In the classical case, the Meet-in-the-middle attack is a generic attack against those constructions. This attack reduces the time…

Quantum Physics · Physics 2015-04-28 Marc Kaplan

For any symmetric key cryptosystem with $n$-bit secret key, the key can be recovered in $O(2^{n/2})$ exploiting Grover search algorithm, resulting in the effective key length to be half. In this direction, subsequent work has been done on…

Quantum Physics · Physics 2020-09-17 Ravi Anand , Arpita Maitra , Sourav Mukhopadhyay

It is well known that no quantum error correcting code of rate $R$ can correct adversarial errors on more than a $(1-R)/4$ fraction of symbols. But what if we only require our codes to *approximately* recover the message? We construct…

Quantum Physics · Physics 2022-12-21 Thiago Bergamaschi , Louis Golowich , Sam Gunn

We study the problem of encrypting and authenticating quantum data in the presence of adversaries making adaptive chosen plaintext and chosen ciphertext queries. Classically, security games use string copying and comparison to detect…

Quantum Physics · Physics 2020-06-17 Gorjan Alagic , Tommaso Gagliardoni , Christian Majenz

In known security reductions for the Fujisaki-Okamoto transformation, decryption failures are handled via a reduction solving the rather unnatural task of finding failing plaintexts given the private key, resulting in a Grover search bound.…

Cryptography and Security · Computer Science 2022-03-22 Kathrin Hövelmanns , Andreas Hülsing , Christian Majenz

We show that any quantum algorithm searching an ordered list of n elements needs to examine at least 1/12 log n-O(1) of them. Classically, log n queries are both necessary and sufficient. This shows that quantum algorithms can achieve only…

Quantum Physics · Physics 2007-05-23 Andris Ambainis

In this paper, security analysis of block ciphers with key length greater than block length is proposed. When key length is significantly greater than block length and the statistical distribution of cipher system is like a uniform…

Cryptography and Security · Computer Science 2013-05-21 Maghsood Parviz , Seyed Hassan Mousavi , Saeed Mirahmadi

At Crypto 2011, some of us had proposed a family of cryptographic protocols for key establishment capable of protecting quantum and classical legitimate parties unconditionally against a quantum eavesdropper in the query complexity model.…

Quantum Physics · Physics 2021-03-23 Aleksandrs Belovs , Gilles Brassard , Peter Hoyer , Marc Kaplan , Sophie Laplante , Louis Salvail

The bounded quantum storage model aims to achieve security against computationally unbounded adversaries that are restricted only with respect to their quantum memories. In this work, we provide information-theoretic secure constructions in…

Cryptography and Security · Computer Science 2025-06-05 Mohammed Barhoush , Louis Salvail

We present strong attacks against quantum key distribution schemes which use quantum memories and quantum gates to attack directly the final key. We analyze a specific attack of this type, for which we find the density matrices available to…

Quantum Physics · Physics 2016-09-08 E. Biham , T. Mor

The study of quantum cryptography and quantum non-locality have traditionnally been based on two-level quantum systems (qubits). In this paper we consider a generalisation of Ekert's cryptographic protocol [Ekert] where qubits are replaced…

Quantum Physics · Physics 2009-11-07 Thomas Durt , Nicolas J. Cerf , Nicolas Gisin , Marek Zukowski

The classic forgery attacks on COPA, AES-COPA and Marble authenticated encryption algorithms need to query about 2^(n/2) times, and their success probability is not high. To solve this problem, the corresponding quantum forgery attacks on…

Quantum Physics · Physics 2024-05-14 Yinsong Xu , Wenjie Liu , Wenbin Yu

Security of quantum key distribution against sophisticated attacks is among the most important issues in quantum information theory. In this work we prove security against a very important class of attacks called collective attacks (under a…

Quantum Physics · Physics 2007-05-23 Eli Biham , Michel Boyer , Gilles Brassard , Jeroen van de Graaf , Tal Mor

In a post-quantum world, where attackers may have access to full-scale quantum computers, all classical password-based authentication schemes will be compromised. Quantum copy-protection prevents adversaries from making copies of existing…

Quantum Physics · Physics 2022-02-01 Sherry Wang , Carlisle Adams , Anne Broadbent

We propose a new method for proving lower bounds on quantum query algorithms. Instead of a classical adversary that runs the algorithm with one input and then modifies the input, we use a quantum adversary that runs the algorithm with a…

Quantum Physics · Physics 2007-05-23 Andris Ambainis

In Private Information Retrieval (PIR), a client queries an n-bit database in order to retrieve an entry of her choice, while maintaining privacy of her query value. Chor, Goldreich, Kushilevitz, and Sudan showed that, in the…

Quantum Physics · Physics 2015-06-29 Ämin Baumeler , Anne Broadbent

Quantum error correction is widely thought to be the key to fault-tolerant quantum computation. However, determining the most suited encoding for unknown error channels or specific laboratory setups is highly challenging. Here, we present a…

Einstein-Podolsky-Rosen- (EPR) and the more powerful Mayers-Lo-Chau attack impose a serious constraint on quantum bit commitment (QBC). As a way to circumvent them, it is proposed that the quantum system encoding the commitment chosen by…

Quantum Physics · Physics 2007-05-23 R. Srikanth

We study a quantum analogue of locally decodable error-correcting codes. A q-query locally decodable quantum code encodes n classical bits in an m-qubit state, in such a way that each of the encoded bits can be recovered with high…

Quantum Physics · Physics 2008-06-13 Jop Briët , Ronald de Wolf

The Maximum Matching problem has a quantum query complexity lower bound of $\Omega(n^{3/2})$ for graphs on $n$ vertices represented by an adjacency matrix. The current best quantum algorithm has the query complexity $O(n^{7/4})$, which is…

Quantum Physics · Physics 2025-10-31 Alcides Gomes Andrade Júnior , Akira Matsubayashi