## 10 Citations

Quantum algorithms for search with wildcards and combinatorial group testing

- Computer Science, MathematicsQuantum Inf. Comput.
- 2014

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

- Computer Science, MathematicsSWAT
- 2012

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

- Computer ScienceInt. J. Found. Comput. Sci.
- 2012

This paper presents a simple way to study algorithms that run in significantly less than N steps by sacrificing the exactness of the computation by using an oracle.

Efficient Quantum Algorithms for (Gapped) Group Testing and Junta Testing

- Computer Science, MathematicsSODA
- 2016

This tester is based on a new quantum algorithm for a gapped version of the combinatorial group testing problem, with an up to quartic improvement over the query complexity of the best classical algorithm.

Quantum Algorithms for Learning Symmetric Juntas via the Adversary Bound

- Computer Science, Mathematics2014 IEEE 29th Conference on Computational Complexity (CCC)
- 2014

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

- Computer Science
- 2022

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

- Mathematics, Computer ScienceTheory Comput.
- 2015

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

- Physics, Computer ScienceACM J. Emerg. Technol. Comput. Syst.
- 2014

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

- Computer ScienceACM Transactions on Quantum Computing
- 2022

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

- Computer ScienceArXiv
- 2022

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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- Computer Science, MathematicsProceedings. 19th IEEE Annual Conference on Computational Complexity, 2004.
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A very general lower bound technique for quantum and randomized query complexity, that is easy to prove as well as to apply, and derives a general form of the ad hoc weighted method used by Hoyer, Neerbek and Shi to give a quantum lower bound on ordered search and sorting.

Reflections for quantum query algorithms

- Computer ScienceSODA '11
- 2011

We show that any boolean function can be evaluated optimally by a quantum query algorithm that alternates a certain fixed, input-independent reflection with a second reflection that coherently…

Symmetry-Assisted Adversaries for Quantum State Generation

- Computer Science, Mathematics2011 IEEE 26th Annual Conference on Computational Complexity
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A new quantum adversary method to prove lower bounds on the query complexity of the quantum state generation problem and answer an open question due to Spalek by showing that the multiplicative version of the adversary method is stronger than the additive one for any problem.

Negative weights make adversaries stronger

- Computer Science, MathematicsSTOC '07
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A stronger version of the adversary method which goes beyond this principle to make explicit use of the stronger condition that the algorithm actually computes the function, and which is a lower bound on bounded-error quantum query complexity.

Quantum query complexity and semi-definite programming

- Computer Science18th IEEE Annual Conference on Computational Complexity, 2003. Proceedings.
- 2003

A general lower bound for quantum query complexity is derived that encompasses a lower bound method of Ambainis and its generalizations and an interpretation of a generalized form of branching in quantum computation.

Span Programs and Quantum Query Complexity: The General Adversary Bound Is Nearly Tight for Every Boolean Function

- Computer Science2009 50th Annual IEEE Symposium on Foundations of Computer Science
- 2009

It is generally that properties of eigenvalue-zero eigenvectors in fact imply an "effective" spectral gap around zero, and a strong universality result for span programs follows.

Quantum Query Complexity of State Conversion

- Computer Science, Mathematics2011 IEEE 52nd Annual Symposium on Foundations of Computer Science
- 2011

It is obtained that the general adversary bound characterizes the quantum query complexity of any function whatsoever, implying that discrete and continuous-time query models are equivalent in the bounded-error setting, even for the general state-conversion problem.

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- Computer ScienceSTOC '93
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