◍wovepaper
SearchResearchersInstitutions
Sign in
quant-phApr 26, 2007
28
citations (OpenAlex)
authors
  • Andris Ambainis
arXiv abstractPDF
paper

A nearly optimal discrete query quantum algorithm for evaluating NAND formulas

arXiv:0704.3628

Abstract

We present an O(\sqrt{N}) discrete query quantum algorithm for evaluating balanced binary NAND formulas and an O(N^{{1/2}+O(\frac{1}{\sqrt{\log N}})}) discrete query quantum algorithm for evaluating arbitrary binary NAND formulas.

21 pages, 2 figures

References in corpus (2)

  • Quantum Search on Bounded-Error Inputs
  • A Quantum Algorithm for the Hamiltonian NAND Tree

Cited by in corpus (14)

  • On the relationship between continuous- and discrete-time quantum walk
  • Quantum algorithms for algebraic problems
  • Span-program-based quantum algorithm for evaluating formulas
  • Quantum Computation Beyond the Circuit Model
  • Every NAND formula of size N can be evaluated in time N^{1/2+o(1)} on a quantum computer
  • Entanglement Theory and the Quantum Simulation of Many-Body Physics
  • Quantum Slide and NAND Tree on a Photonic Chip
  • New Developments in Quantum Algorithms
  • The quantum query complexity of certification
  • Quantum algorithms for formula evaluation
  • Span-program-based quantum algorithm for evaluating unbalanced formulas
  • How to Compile Some NAND Formula Evaluators
  • Quantum Algorithms for Evaluating MIN-MAX Trees
  • Quantum Algorithm for Dynamic Programming Approach for DAGs. Applications for Zhegalkin Polynomial Evaluation and Some Problems on DAGs
◍wovepaper

Papers, researchers and institutions, woven together.

Explore
  • Search
  • Researchers
  • Institutions
Account
  • Library
  • Chat
Data
  • arXiv.org
  • Semantic Scholar
  • OpenAlex
  • Latest RSS
AboutContactPrivacyDevelopersllms.txtopenapi.json
Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.