Bernstein, D.J., Jeffery, S., Lange, T., Meurer, A.: Quantum algorithms for the subset-sum problem. In: PQCrypto. pp. 16-33 (2013)D. J. Bernstein, S. Jeffery, T. Lange, A. Meurer. Quantum Algorithms for the Sub
We show polynomial-time quantum algorithms for the following problems: 1. Short integer solution (SIS) problem under theinfinitynorm, where the public matrix is very wide, the modulus is a polynomially large prime, and the bound of infinity norm is set to be half of the modulus minus a con...
We define the entanglement-gradient routing scheme for quantum repeater networks. The routing framework fuses the fundamentals of swarm intelligence and quantum Shannon theory. Swarm intelligence provides nature-inspired solutions for problem solving. Mo
• Quantum algorithms for problems in complex network science • Foundations of quantum theory in relation to complex networks and processes thereon • Quantum inspired mathematics as a foundation for network science Info QNET will be held at the NetSci Conference venue at the Clark Kerr Campus...
As shown in [111], quantum computers can solve this problem in O˜(q3/8) time whereas the best classical algorithm requires O˜(q9/8) time. The quantum algorithm of [111] is based on the quantum algorithms for discrete logarithms and searching. Algorithm:Matrix Elements of Group ...
Then, the measurement result is post-processed via unit \({\mathscr{P}}\) that integrates algorithms to determine the global optimal string z* from the results of the randomized measurements. As we prove (see Theorem 2), the number R0 of standard measurement rounds can be reduced to \(R...
Conventional key distribution protocols rely on computational complexities and are vulnerable to future advances on computer hardware and sophisticated algorithms. As mentioned earlier, QKD promises the principle of unconditional security by securing the key distribution based on quantum physics. Originally ...
Quantum Algorithms: Proprietary algorithms optimized for quantum processing, enhancing the efficiency and accuracy of data analysis, optimization, and decision-making tasks. Quantum Cryptography: State-of-the-art encryption techniques leveraging quantum principles, ensuring the security and confidentiality of ...
1:06:11 Daniel Mauldin Steinhaus' problem on simultaneous tilings of the plane 54:31 David Gamarnik - Power and Limits of Local Algorithms for Graphs I. 1:15:26 Elon Lindenstrauss - Sum product phenomenon and random walks III. 1:05:40 Elon Lindenstrauss - Sum product phenomenon and rand...
ArticleMathSciNetGoogle Scholar Magniez F, Santha M, and Szegedy M, Quantum algorithms for the triangle problem,SIAM J. Comput., 2007, 37(2): 413–424. ArticleMathSciNetMATHGoogle Scholar Google Scholar European Symp. on Algorithms MATH MATH...