This is a textbook about quantum walks and quantum search algorithms. The readers will take advantage of the pedagogical aspects and learn the topics faster and make less effort …
S Aaronson, P Rall - Symposium on simplicity in algorithms, 2020 - SIAM
In 1998, Brassard, Høyer, Mosca, and Tapp (BHMT) gave a quantum algorithm for approximate counting. Given a list of N items, K of them marked, their algorithm estimates K …
S Jaques, JM Schanck - Advances in Cryptology–CRYPTO 2019: 39th …, 2019 - Springer
We introduce models of computation that enable direct comparisons between classical and quantum algorithms. Incorporating previous work on quantum computation and error …
We design and analyze two new low depth algorithms for amplitude estimation (AE) achieving an optimal tradeoff between the quantum speedup and circuit depth. For $\beta\in …
KM Chung, S Fehr, YH Huang, TN Liao - Annual International Conference …, 2021 - Springer
We revisit the so-called compressed oracle technique, introduced by Zhandry for analyzing quantum algorithms in the quantum random oracle model (QROM). To start off with, we offer …
Amplitude estimation (AE) is a fundamental quantum algorithmic primitive that enables quantum computers to achieve quadratic speedups for a large class of statistical estimation …
We study how parallelism can speed up quantum simulation. A parallel quantum algorithm is proposed for simulating the dynamics of a large class of Hamiltonians with good sparse …
Y Hamoudi, Q Liu, M Sinha - … International Conference on the Theory and …, 2024 - Springer
Collision-resistant hashing, a fundamental primitive in modern cryptography, ensures that there is no efficient way to find distinct inputs that produce the same hash value. This …
Since Harrow et al.[AW Harrow, A. Hassidim, and S. Lloyd, Phys. Rev. Lett. 103, 150502 (2009) 0031-9007 10.1103/PhysRevLett. 103.150502] showed that a system of linear …