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Classical randomized algorithms use a coin toss instruction to explore different evolutionary branches of a problem. Quantum algorithms, on the other hand, can explore multiple evolutionary branches by mere superposition of states. Discrete…

量子物理 · 物理学 2009-11-10 Apoorva Patel , K. S. Raghunathan , Pranaw Rungta

We introduce the Peierls substitution to a two-dimensional discrete-time quantum walk on a square lattice to examine the spreading dynamics and the coin-position entanglement in the presence of an artificial gauge field. We use the ratio of…

量子物理 · 物理学 2015-10-28 İ. Yalçınkaya , Z. Gedik

Hash based search has, proven excellence on large data warehouses stored in column store. Data distribution has significant impact on hash based search. To reduce impact of data distribution, we have proposed Memory Managed Hash (MMH)…

数据库 · 计算机科学 2012-04-10 Tejaswini Apte , Dr. Maya Ingle , Dr. A. K. Goyal

Random hashing can provide guarantees regarding the performance of data structures such as hash tables---even in an adversarial setting. Many existing families of hash functions are universal: given two data objects, the probability that…

数据结构与算法 · 计算机科学 2018-10-16 Dmytro Ivanchykhin , Sergey Ignatchenko , Daniel Lemire

The quantum switch, a process enabling a coherent superposition of different orders of quantum channels, has garnered significant attention due to its ability to enable noiseless communications through noisy channels, such as…

量子物理 · 物理学 2026-01-13 Claudio Pellitteri , Marcello Caleffi , Angela Sara Cacciapuoti

We propose a scheme to implement the one-dimensional coined quantum walk with electrons transported through a two-dimensional network of spintronic semiconductor quantum rings. The coin degree of freedom is represented by the spin of the…

介观与纳米尺度物理 · 物理学 2009-07-30 Orsolya Kálmán , Tamás Kiss , Péter Földi

In this article, we propose a quantum communication protocol via 2-step discrete time quantum walks with two coins on a graph of 10 vertices containing both cycles and paths. Quantum walks are known for their ability to integrate quantum…

量子物理 · 物理学 2025-01-22 Rachana Soni , Neelam Choudhary , Navneet Pratap Singh

The quantum random walk has been much studied recently, largely due to its highly nonclassical behavior. In this paper, we study one possible route to classical behavior for the discrete quantum walk on the line: the presence of decoherence…

量子物理 · 物理学 2009-11-07 Todd A. Brun , Hilary A. Carteret , Andris Ambainis

Quantum Random Walks (QRW) were first defined as one-particle sectors of Quantum Lattice Gas Automata (QLGA). Recently, they have been generalized to include history dependence, either on previous coin (internal, i.e., spin or velocity)…

数学物理 · 物理学 2015-06-19 Asif Shakeel , David A. Meyer , Peter J. Love

We investigate coined quantum walk search and state transfer algorithms, focusing on the complete $M$-partite graph with $N$ vertices in each partition. First, it is shown that by adding a loop to each vertex the search algorithm finds the…

量子物理 · 物理学 2022-12-02 Stanislav Skoupy , Martin Stefanak

The coherent superposition of position states in a quantum walk (QW) can be precisely engineered towards the desired distributions to meet the need of quantum information applications. The coherent distribution can make full use of quantum…

Classical random walk formalism shows a significant role across a wide range of applications. As its quantum counterpart, the quantum walk is proposed as an important theoretical model for quantum computing. By exploiting the quantum…

量子物理 · 物理学 2025-03-18 Xiaogang Qiang , Shixin Ma , Haijing Song

Randomness plays a key role in the design of attacks on cryptographic systems and cyber security algorithms in general. Random walks and quantum walks are powerful tools for mastering random phenomena. In this article, I propose a…

量子物理 · 物理学 2023-09-22 Ahmed Drissi

Previous studies in quantum information have recognized that specific types of noise can encode information in certain applications. However, the role of noise in Quantum Hypothesis Testing (QHT), traditionally assumed to undermine…

量子物理 · 物理学 2024-08-06 Qing Li , Lingna Wang , Min Jiang , Ze Wu , Haidong Yuan , Xinhua Peng

We clarify that coined quantum walk is determined by only the choice of local quantum coins. To do so, we characterize coined quantum walks on graph by disjoint Euler circles with respect to symmetric arcs. In this paper, we introduce a new…

数学物理 · 物理学 2014-05-08 Yusuke Higuchi , Norio Konno , Iwao Sato , Etsuo Segawa

We investigate searching efficiency of different kinds of random walk on complex networks which rely on local information and one-step memory. For the studied navigation strategies we obtained theoretical and numerical values for the graph…

计算机与社会 · 计算机科学 2024-11-15 Miroslav Mirchev , Lasko Basnarkov , Igor Mishkovski

Extending the functionality and overcoming the performance limitation under which QKD can operate requires either quantum repeaters or new security models. Investigating the latter option, we introduce the \textit{Quantum Computational…

量子物理 · 物理学 2020-04-22 Nilesh Vyas , Romain Alleaume

The efficient resolution of optimization problems is one of the key issues in today's industry. This task relies mainly on classical algorithms that present scalability problems and processing limitations. Quantum computing has emerged to…

量子物理 · 物理学 2023-09-07 Roberto Campos , Pablo A M Casares , M A Martin-Delgado

How self-loops on vertices affect quantum walks is an interesting issue, and self-loops play important roles in quantum walk based algorithms. However, the original model that adjusting the effect of self-loops by changing their number has…

量子物理 · 物理学 2017-07-04 Huiquan Wang , Jie Zhou , Junjie Wu , Xun Yi

We present an efficient general method for realizing a quantum walk operator corresponding to an arbitrary sparse classical random walk. Our approach is based on Grover and Rudolph's method for preparing coherent versions of efficiently…

量子物理 · 物理学 2013-06-12 Chen-Fu Chiang , Daniel Nagaj , Pawel Wocjan
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