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Natural language processing (NLP) problems are ubiquitous in classical computing, where they often require significant computational resources to infer sentence meanings. With the appearance of quantum computing hardware and simulators, it…

Quantum Physics · Physics 2020-10-09 Lee J. O'Riordan , Myles Doyle , Fabio Baruffa , Venkatesh Kannan

A new quantum cryptography protocol, based on all unselected states of a qubit as a sort of alphabet with continuous set of letters, is proposed. Its effectiveness is calculated and shown to be essentially higher than those of the other…

Quantum Physics · Physics 2007-05-23 D. V. Sych , B. A. Grishanin , V. N. Zadkov

We study the complexity of a class of problems involving satisfying constraints which remain the same under translations in one or more spatial directions. In this paper, we show hardness of a classical tiling problem on an N x N…

Quantum Physics · Physics 2010-08-25 Daniel Gottesman , Sandy Irani

The remarkably long-standing problem of cryptography is to generate completely secure key. It is widely believed that the task cannot be achieved within classical cryptography. However, there is no proof in support of this belief. We…

Cryptography and Security · Computer Science 2008-12-27 Arindam Mitra

We propose a framework for analyzing classical sampling strategies for estimating the Hamming weight of a large string, when applied to a multi-qubit quantum system instead. The framework shows how to interpret such a strategy and how to…

Quantum Physics · Physics 2012-01-17 Niek J. Bouman , Serge Fehr

In this paper, we propose a quantum version of the differential cryptanalysis which offers a quadratic speedup over the existing classical one and show the quantum circuit implementing it. The quantum differential cryptanalysis is based on…

Quantum Physics · Physics 2019-01-04 Qing Zhou , Songfeng Lu , Zhigang Zhang , Jie Sun

Publicly verifiable delegation is a well-known problem involving a user who wishes to outsource a resource-intensive computational task to a more powerful but potentially untrusted server such that any other party is able to efficiently…

Cryptography and Security · Computer Science 2026-04-28 Ameer Mohammed , Aydin Abadi , Jaffer Mahdi

It is becoming increasingly clear that, if a useful device for quantum computation will ever be built, it will be embodied by a classical computing machine with control over a truly quantum subsystem, this apparatus performing a mixture of…

Programming Languages · Computer Science 2009-11-07 S. Bettelli , L. Serafini , T. Calarco

We consider a version of the nearest-codeword problem on finite fields $\mathbb{F}_q$ using the Manhattan distance, an analog of the Hamming metric for non-binary alphabets. Similarly to other lattice related problems, this problem is…

Quantum Physics · Physics 2023-09-13 Lior Eldar

A general class of authentication schemes for arbitrary quantum messages is proposed. The class is based on the use of sets of unitary quantum operations in both transmission and reception, and on appending a quantum tag to the quantum…

Quantum Physics · Physics 2015-06-26 Esther Perez , Marcos Curty , David J. Santos , Priscila Garcia-Fernandez

Publicly verifiable quantum money is a protocol for the preparation of quantum states that can be efficiently verified by any party for authenticity but is computationally infeasible to counterfeit. We develop a cryptographic scheme for…

Quantum Physics · Physics 2022-09-01 Andrey Boris Khesin , Jonathan Z. Lu , Peter W. Shor

I construct a secure multi-party scheme to compute a classical function by a succinct use of a specially designed fault-tolerant random polynomial quantum error correction code. This scheme is secure provided that (asymptotically) strictly…

Quantum Physics · Physics 2009-10-31 H. F. Chau

A quantum password is a quantum mechanical analogue of the classical password. Our proposal is completely quantum mechanical in nature, i.e. at no point is information stored and manipulated classically. We show that, in contrast to quantum…

Quantum Physics · Physics 2012-03-08 Mile Gu , Christian Weedbrook

Recently, Hwang et al. introduced a knapsack type public-key cryptosystem. They proposed a new algorithm called permutation combination algorithm. By exploiting this algorithm, they attempt to increase the density of knapsack to avoid the…

Cryptography and Security · Computer Science 2013-09-17 Roohallah Rastaghi

Public-key quantum money is a cryptographic protocol in which a bank can create quantum states which anyone can verify but no one except possibly the bank can clone or forge. There are no secure public-key quantum money schemes in the…

A concept named induced trapdoor one-way quantum transformation (OWQT) has been introduced, and a theoretical framework of public-key encryption (PKE) of quantum message is presented based on it. Then several kinds of quantum public-key…

Quantum Physics · Physics 2011-07-13 Li Yang , Min Liang , Bao Li , Lei Hu , Deng-Guo Feng

A new quantum algorithm for a search problem and its computational complexity are discussed. It is shown in the search problem containing 2^n objects that our algorithm runs in polynomial time.

Quantum Physics · Physics 2013-06-24 S. Iriyama , M. Ohya , I. V. Volovich

Variational quantum algorithms are proposed to solve relevant computational problems on near term quantum devices. Popular versions are variational quantum eigensolvers and quantum ap- proximate optimization algorithms that solve ground…

Quantum Physics · Physics 2022-04-15 Lennart Bittel , Martin Kliesch

Two QKD protocols with limited classical Bob who performs only limited classical operations (preparing a (fresh) qubit in the classical basis and send it or doing nothing) are presented and are proved completely robust. As limited classical…

Quantum Physics · Physics 2011-10-13 Zhiwei Sun , Ruigang Du , Dongyang Long

This paper proposes an efficient secret key cryptosystem based on polar codes over Binary Erasure Channel. We introduce a method, for the first time to our knowledge, to hide the generator matrix of the polar codes from an attacker. In…

Cryptography and Security · Computer Science 2013-08-02 Reza Hooshmand , Masoumeh Koochak Shooshtari , Mohammad Reza Aref