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Quantum Algorithms for the Approximate k-List Problem and their Application to Lattice Sieving
approximate k-list problem cryptanalysis distributed computation
2019/9/16
The Shortest Vector Problem (SVP) is one of the mathematical foundations of lattice based cryptography. Lattice sieve algorithms are amongst the foremost methods of solving SVP. The asymptotically fas...
Quantum Algorithms for Boolean Equation Solving and Quantum Algebraic Attack on Cryptosystems
quantum algorithm Boolean equation solving quantum algebraic attac
2018/1/12
Decision of whether a Boolean equation system has a solution is an NPC problem and finding a solution is NP hard. In this paper, we present a quantum algorithm to decide whether a Boolean equation sys...
Asymptotically faster quantum algorithms to solve multivariate quadratic equations
FXL Grover reversibility
2017/12/19
Asymptotically faster quantum algorithms to solve multivariate quadratic equations.
Introduction to Quantum Algorithms for Physics and Chemistry
Introduction Quantum Algorithms Physics Chemistry
2016/1/22
Controllable quantum systems provide unique opportunities for solving problems in quantum chemistry and many-body physics that are intractable by classical computers. This approach is called “quantum ...
Quantum algorithms for the subset-sum problem
subset sum quantum search quantum walks radix trees decoding SVP CVP
2013/4/18
This paper introduces a subset-sum algorithm with heuristic asymptotic cost exponent below 0.25. The new algorithm combines the 2010 Howgrave-Graham--Joux subset-sum algorithm with a new streamlined d...
Quantum algorithms for solving linear differential equations
Quantum algorithms solving linear differential equations
2010/11/5
Linear differential equations are ubiquitous in science and engineering. Quantum computers can simulate quantum systems, which are described by homogeneous linear differential equations that produce o...
Quantum Algorithms for Some Well-Known NP Problems
quantum algorithms NP problem graph theory combination theory
2007/8/15
2002Vol.37No.4pp.424-426DOI:
Quantum Algorithms for Some Well-Known NP Problems
GUO Hao,1 LONG Gui-Lu,1-5 and LI Feng6
1 Department of Physics, Tsinghua University, Beij...