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In a recent paper [quant-ph/9910066], Arens and Varadarajan gave a characterization of what they call EPR-states on a bipartite composite quantum system. By definition, such states imply perfect correlation between suitable pairs of…

Quantum Physics · Physics 2007-05-23 R. F. Werner

Fully-homomorphic encryption (FHE) enables computation on encrypted data while maintaining secrecy. Recent research has shown that such schemes exist even for quantum computation. Given the numerous applications of classical FHE…

Quantum Physics · Physics 2018-02-27 Gorjan Alagic , Yfke Dulek , Christian Schaffner , Florian Speelman

Fundamental principles of quantum mechanics have inspired many new research directions, particularly in quantum cryptography. One such principle is quantum no-cloning which has led to the emerging field of revocable cryptography. Roughly…

Quantum Physics · Physics 2025-04-16 Prabhanjan Ananth , Saachi Mutreja , Alexander Poremba

We show that any pseudoentangled state ensemble with a gap of $t$ bits of entropy requires $\Omega(t)$ non-Clifford gates to prepare. This bound is tight up to polylogarithmic factors if linear-time quantum-secure pseudorandom functions…

Quantum Physics · Physics 2026-03-23 Sabee Grewal , Vishnu Iyer , William Kretschmer , Daniel Liang

Weak coin flipping is among the fundamental cryptographic primitives which ensure the security of modern communication networks. It allows two mistrustful parties to remotely agree on a random bit when they favor opposite outcomes. Unlike…

Quantum Physics · Physics 2020-08-21 Mathieu Bozzio , Ulysse Chabaud , Iordanis Kerenidis , Eleni Diamanti

Entanglement swapping between Einstein-Podolsky-Rosen (EPR) pairs can be used to generate the same sequence of random bits in two remote places. A quantum key distribution protocol based on this idea is described. The scheme exhibits the…

Quantum Physics · Physics 2009-10-31 Adan Cabello

A generic computation of a subset A of the natural numbers consists of a a computation that correctly computes most of the bits of A, and which never incorrectly computes any bits of A, but which does not necessarily give an answer for…

Logic · Mathematics 2012-02-14 Gregory Igusa

Quantum encrypted cloning, introduced by Yamaguchi and Kempf, is a Pauli-based protocol that distributes an unknown input qubit into multiple encrypted signal-noise pairs in such a way that redundancy is created without violating the…

Quantum Physics · Physics 2026-05-28 Gabriele Gianini , Stelvio Cimato , Jianyi Lin , Omar Hasan , Ernesto Damiani

This paper introduces a novel lower bound on communication complexity using quantum relative entropy and mutual information, refining previous classical entropy-based results. By leveraging Uhlmann's lemma and quantum Pinsker inequalities,…

Quantum Physics · Physics 2025-07-29 Fengxia Liu , Zhiyong Zheng , Kun Tian , Yi Zhang , Heng Guo , Zhe Hu , Oleksiy Zhedanov , Zixian Gong

Aiming for strong security assurance, recently there has been an increasing interest in formal verification of cryptographic constructions. This paper presents a mechanised formal verification of the popular Pedersen commitment protocol,…

Cryptography and Security · Computer Science 2019-01-17 Roberto Metere , Changyu Dong

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

The development and implementation of post-quantum cryptosystems have become a pressing issue in the design of secure computing systems, as general quantum computers have become more feasible in the last two years. In this work, we…

Cryptography and Security · Computer Science 2019-03-12 Lake Bu , Rashmi Agrawal , Hai Cheng , Michel A. Kinsy

We study the Sign_then_Encrypt, Commit_then_Encrypt_and_Sign, and Encrypt_then_Sign paradigms in the context of two cryptographic primitives, namely designated confirmer signatures and signcryption. Our study identifies weaknesses in those…

Cryptography and Security · Computer Science 2016-11-01 Laila El Aimani

We explore a new pathway to designing unclonable cryptographic primitives. We propose a new notion called unclonable puncturable obfuscation (UPO) and study its implications for unclonable cryptography. Using UPO, we present modular (and…

Cryptography and Security · Computer Science 2024-04-24 Prabhanjan Ananth , Amit Behera

Quantum homomorphic encryption, which allows computation by a server directly on encrypted data, is a fundamental primitive out of which more complex quantum cryptography protocols can be built. For such constructions to be possible,…

Quantum Physics · Physics 2023-04-19 Yanglin Hu , Yingkai Ouyang , Marco Tomamichel

Let $q, n, m \in \mathbb{N}$ such that $q$ is a prime power, $m \geq 3$ and $a \in \mathbb{F}$. We establish a sufficient condition for the existence of a primitive normal pair ($\alpha$, $f(\alpha)$) in $\mathbb{F}_{q^m}$ over…

We revisit the problem of designing scalable protocols for private statistics and private federated learning when each device holds its private data. Locally differentially private algorithms require little trust but are (provably) limited…

Privacy computing involves the extensive exchange and processing of encrypted data. For the parties involved in these interactions, how to determine the consistency of exchanged data without accessing the original data, ensuring tamper…

Cryptography and Security · Computer Science 2024-10-24 Huang Neng

Joseph Miller [16] and independently Andre Nies, Frank Stephan and Sebastiaan Terwijn [18] gave a complexity characterization of 2-random sequences in terms of plain Kolmogorov complexity C: they are sequences that have infinitely many…

Information Theory · Computer Science 2013-10-22 Bruno Bauwens

In this paper, we continue the line of work initiated by Boneh and Zhandry at CRYPTO 2013 and EUROCRYPT 2013 in which they formally define the notion of unforgeability against quantum adversaries specifically, for classical message…

Quantum Physics · Physics 2021-10-04 Mina Doosti , Mahshid Delavar , Elham Kashefi , Myrto Arapinis