Quantum counterfeit coin problems

@inproceedings{Iwama2010QuantumCC,
  title={Quantum counterfeit coin problems},
  author={Kazuo Iwama and Harumichi Nishimura and Raymond H. Putra and Junichi Teruyama},
  booktitle={Theor. Comput. Sci.},
  year={2010}
}
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10 Citations
Highly Influential Citations
1
Background Citations
6
Methods Citations
3

10 Citations

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A nearly optimal O(√n log n) quantum query algorithm is given for search with wildcards, beating the classical lower bound of Ω(n) queries.
Reconstructing Strings from Substrings with Quantum Queries
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This paper investigates the number of quantum queries made to solve the problem of reconstructing an unknown string from its substrings in a certain query model and shows a quantum algorithm that exactly identifies the string S with at most $\frac{3}{4}N + o(N)$ queries, where N is the length of S.
Recovering Strings in Oracles: Quantum and Classic
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Efficient Quantum Algorithms for (Gapped) Group Testing and Junta Testing
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Quantum Algorithms for Learning Symmetric Juntas via the Adversary Bound
  • Aleksandrs Belovs
  • Computer Science, Mathematics
    2014 IEEE 29th Conference on Computational Complexity (CCC)
  • 2014
TLDR
This paper constructs optimal quantum query algorithms for the cases when h is the XOR or the OR function, or the exact-half function or the majority function, and proves an upper bound of $${O(k^{1/4})}$$O (k 1/4).
Quantum algorithm for learning secret strings and its experimental demonstration
TLDR
It is proved that any classical deterministic algorithm needs at least n queries to the oracle fs to learn the n-bit secret string s in both the worst case and the average case, and an optimal classical Deterministic algorithm learning any s using n queries is presented.
Quantum Algorithm for Monotonicity Testing on the Hypercube
TLDR
A bounded-error quantum algorithm is developed that makes $\tilde O(n^{1/4}\varepsilon^{-1/2})$ queries to a Boolean function $f$, accepts a monotone function, and rejects a function that is $\varpsilon$-far from being monotones.
QLib: Quantum module library
TLDR
QLib is proposed, a quantum module library, which contains scripts to generate quantum modules of different sizes and specifications for well-known quantum algorithms, which can also serve as a suite of benchmarks for quantum logic and physical synthesis.
QASMBench: A Low-Level Quantum Benchmark Suite for NISQ Evaluation and Simulation
TLDR
This work proposes a low-level, easy-to-use benchmark suite called QASMBench based on the OpenQASM assembly representation, which consolidates commonly used quantum routines and kernels from a variety of domains including chemistry, simulation, linear algebra, searching, optimization, arithmetic, machine learning, fault tolerance, cryptography, etc., trading-off between generality and usability.
Efficient Hierarchical State Vector Simulation of Quantum Circuits via Acyclic Graph Partitioning
TLDR
This paper presents three partitioning strategies and observes that acyclic graph partitioning typically results in the best time-to-solution, in contrast, other strategies reduce the partitioning time at the expense of potentially increased simulation times.

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