English
Related papers

Related papers: A Meta-Complexity Characterization of Minimal Quan…

200 papers

There is a large body of work studying what forms of computational hardness are needed to realize classical cryptography. In particular, one-way functions and pseudorandom generators can be built from each other, and thus require equivalent…

Cryptography and Security · Computer Science 2025-04-02 Bruno Cavalar , Eli Goldin , Matthew Gray , Peter Hall , Yanyi Liu , Angelos Pelecanos

We show that there are Turing complete computably enumerable sets of arbitrarily low non-trivial initial segment prefix-free complexity. In particular, given any computably enumerable set $A$ with non-trivial prefix-free initial segment…

Logic · Mathematics 2013-11-28 George Barmpalias

We establish quantum uncloneable encryption with unconditional security, preventing two non-communicating adversaries from simultaneously decrypting a single ciphertext $-$ even when both are given the key. Our construction achieves…

Quantum Physics · Physics 2026-03-11 Archishna Bhattacharyya , Anne Broadbent , Eric Culf

We develop a theory of the algorithmic information in bits contained in an individual pure quantum state. This extends classical Kolmogorov complexity to the quantum domain retaining classical descriptions. Quantum Kolmogorov complexity…

Quantum Physics · Physics 2016-11-17 Paul M. B. Vitanyi

Physical Unclonable Functions (PUFs) leverage inherent, non-clonable physical randomness to generate unique input-output pairs, serving as secure fingerprints for cryptographic protocols like authentication. Quantum PUFs (QPUFs) extend this…

We investigate sampling procedures that certify that an arbitrary quantum state on $n$ subsystems is close to an ideal mixed state $\varphi^{\otimes n}$ for a given reference state $\varphi$, up to errors on a few positions. This task makes…

Quantum Physics · Physics 2018-04-16 Frédéric Dupuis , Serge Fehr , Philippe Lamontagne , Louis Salvail

In the secure two-party computation problem, two parties wish to compute a (possibly randomized) function of their inputs via an interactive protocol, while ensuring that neither party learns more than what can be inferred from only their…

Cryptography and Security · Computer Science 2014-12-16 Ye Wang , Prakash Ishwar , Shantanu Rane

We investigate a fundamental property of device independent security in quantum cryptography by characterizing probability distributions which are necessarily independent of the measurement results of any eavesdropper. We show that…

Quantum Physics · Physics 2011-07-19 T. Franz , F. Furrer , R. F. Werner

This article presents the application of homomorphic authenticators, replication encodings to be precise, to multigroup fully homomorphic encryption schemes. Following the works of Gennaro and Wichs on homomorphic authenticators in…

Cryptography and Security · Computer Science 2023-03-16 Ramsès Fernàndez-València

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

Elliptic curve cryptography (ECC) is a remarkable mathematical tool that offers the same level of security as traditional public-key cryptography (PKC) with a significantly smaller key size and lower computational requirements. The use of…

Cryptography and Security · Computer Science 2023-07-20 Mahender Kumar

Indistinguishability obfuscation (iO) has emerged as a powerful cryptographic primitive with many implications. While classical iO, combined with the infinitely-often worst-case hardness of $\mathsf{NP}$, is known to imply one-way functions…

Quantum Physics · Physics 2025-07-02 Tomoyuki Morimae , Yuki Shirakawa , Takashi Yamakawa

We show that classical and quantum Kolmogorov complexity of binary strings agree up to an additive constant. Both complexities are defined as the minimal length of any (classical resp. quantum) computer program that outputs the…

Quantum Physics · Physics 2009-06-09 Markus Mueller

Can a sender non-interactively transmit one of two strings to a receiver without knowing which string was received? Does there exist minimally-interactive secure multiparty computation that only makes (black-box) use of symmetric-key…

Quantum Physics · Physics 2023-04-21 James Bartusek , Dakshita Khurana , Akshayaram Srinivasan

This paper, for the first time, addresses the questions related to the connections between the quantum pseudorandomness and quantum hardware assumptions, specifically quantum physical unclonable functions (qPUFs). Our results show that the…

Quantum Physics · Physics 2022-03-31 Mina Doosti , Niraj Kumar , Elham Kashefi , Kaushik Chakraborty

A $k$-pairable $n$-qubit state is a resource state that allows Local Operations and Classical Communication (LOCC) protocols to generate EPR-pairs among any $k$-disjoint pairs of the $n$ qubits. Bravyi et al. introduced a family of…

Quantum Physics · Physics 2023-10-05 Nathan Claudet , Mehdi Mhalla , Simon Perdrix

The use of quantum bits (qubits) in cryptography holds the promise of secure cryptographic quantum key distribution schemes. It is based usually on single-photon polarization states. Unfortunately, the implemented ``qubits'' in the usual…

Quantum Physics · Physics 2015-05-06 Gilles Brassard , Tal Mor , Barry C. Sanders

The safety of a quantum key distribution system relies on the fact that any eavesdropping attempt on the quantum channel creates errors in the transmission. For a given error rate, the amount of information that may have leaked to the…

Quantum Physics · Physics 2009-10-28 B. Huttner , N. Imoto , N. Gisin , T. Mor

Understanding the computational complexity of learning efficient classical programs in various learning models has been a fundamental and important question in classical computational learning theory. In this work, we study the…

Quantum Physics · Physics 2024-10-08 Taiga Hiroka , Min-Hsiu Hsieh

We investigate the notion of untelegraphable encryption (UTE), a quantum encryption primitive that is a special case of uncloneable encryption (UE), where the adversary's capabilities are restricted to producing purely classical information…

Quantum Physics · Physics 2025-10-02 Anne Broadbent , Eric Culf , Denis Rochette