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A family of nonhermitian quantum graphs (exhibiting, presumably, a hidden form of hermiticity) is proposed and studied via their discretization.

Quantum Physics · Physics 2012-01-16 Miloslav Znojil

We present a new scheme for quantum homomorphic encryption which is compact and allows for efficient evaluation of arbitrary polynomial-sized quantum circuits. Building on the framework of Broadbent and Jeffery and recent results in the…

Quantum Physics · Physics 2021-07-19 Yfke Dulek , Christian Schaffner , Florian Speelman

Fully Homomorphic Encryption (FHE) represents a paradigm shift in cryptography, enabling computation directly on encrypted data and unlocking privacy-critical computation. Despite being increasingly deployed in real platforms, the…

Cryptography and Security · Computer Science 2025-09-26 Rian Adam Rajagede , Yan Solihin

In this work we present a method for generating a fermionic encoding tailored to a set of target fermionic operators and to a target hardware connectivity. Our method uses brute force search, over the space of all encodings which map from…

Quantum Physics · Physics 2022-10-12 Riley W. Chien , Joel Klassen

Most cryptosystems are defined over finite algebraic structures where arithmetic operations are performed modulo natural numbers. This applies to private key as well as to public key ciphers. No secure cryptosystems defined over the field…

Cryptography and Security · Computer Science 2016-02-16 Youssef Hassoun

We construct fixed point lattice models for group supercohomology symmetry protected topological (SPT) phases of fermions in 2+1D. A key feature of our approach is to construct finite depth circuits of local unitaries that explicitly build…

Strongly Correlated Electrons · Physics 2019-02-05 Tyler D. Ellison , Lukasz Fidkowski

This encryption algorithm is mainly designed for having a secure file transfer in the low privilege servers and as well as in a secured environment too. This methodology will be implemented in the data center and other important data…

Cryptography and Security · Computer Science 2011-11-11 Bhargav Balakrishnan

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

Biometrics make human identification possible with a sample of a biometric trait and an associated database. Classical identification techniques lead to privacy concerns. This paper introduces a new method to identify someone using his…

Cryptography and Security · Computer Science 2009-09-07 Julien Bringer , Herve Chabanne , Bruno Kindarji

We perform an extended numerical search for practical fermion-to-qubit encodings with error correcting properties. Ideally, encodings should strike a balance between a number of the seemingly incompatible attributes, such as having a high…

Quantum Physics · Physics 2024-05-29 Fedor Simkovic , Martin Leib , Francisco Revson F. Pereira

We cast encryption via classical block ciphers in terms of operator spreading in a dual space of Pauli strings, a formulation which allows us to characterize classical ciphers by using tools well known in the analysis of quantum many-body…

Cryptography and Security · Computer Science 2022-03-08 Claudio Chamon , Eduardo R. Mucciolo , Andrei E. Ruckenstein

Graph clustering under the framework of differential privacy, which aims to process graph-structured data while protecting individual privacy, has been receiving increasing attention. Despite significant achievements in current research,…

Machine Learning · Computer Science 2025-09-09 Haochen You , Baojing Liu

The framework of this thesis is fault-tolerant quantum algorithms. Grover's algorithm and quantum walks are described in Chapter 2. We start by highlighting the central role that rotations play in quantum algorithms, explaining Grover's,…

Quantum Physics · Physics 2023-01-20 Pablo Antonio Moreno Casares

Performing smart computations in a context of cloud computing and big data is highly appreciated today. Fully homomorphic encryption (FHE) is a smart category of encryption schemes that allows working with the data in its encrypted form. It…

Cryptography and Security · Computer Science 2018-04-20 Ahmed El-Yahyaoui , Mohamed Dafir Ech-Chrif El Kettani

The process of replacing an arbitrary Boolean function by a bijective one, a fundamental tool in reversible computing and in cryptography, is interpreted algebraically as a particular instance of a certain group homomorphism from the X-fold…

Category Theory · Mathematics 2022-08-25 Laurent Poinsot , Hans-E Porst

Cryptography and data science research grew exponential with the internet boom. Legacy encryption techniques force users to make a trade-off between usability, convenience, and security. Encryption makes valuable data inaccessible, as it…

Cryptography and Security · Computer Science 2020-09-14 Aadesh Neupane

The financial sector presents many opportunities to apply various machine learning techniques. Centralized machine learning creates a constraint which limits further applications in finance sectors. Data privacy is a fundamental challenge…

Machine Learning · Computer Science 2020-07-15 Yifei Zhang , Hao Zhu

One of the most important consideration techniques when one want to solve the protecting of digital signal is the golden matrix. The golden matrices can be used for creation of a new kind of cryptography called the golden cryptography. Many…

Cryptography and Security · Computer Science 2015-01-16 Marghny H. Mohamed , Yousef B. Mahdy , Wafaa Abd El-Wahed Shaban

Non-hermitian quantum graphs possessing real (i.e., in principle, observable) spectra are studied via their discretization. The discretized Hamiltonians are assigned, constructively, an elementary pseudometric and/or a more complicated…

Quantum Physics · Physics 2012-01-16 Miloslav Znojil

Homomorphic encryption (HE) is a promising technique used for privacy-preserving computation. Since HE schemes only support primitive polynomial operations, homomorphic evaluation of polynomial approximations for non-polynomial functions…

Cryptography and Security · Computer Science 2024-05-27 John Chiang