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Quantum Simulation Quantum State Preparation Representation

A Fast Quantum Algorithm for the Affine Boolean Function Identification

arXiv
Authors: Ahmed Younes

Year

2014

Paper ID

8144

Status

Preprint

Abstract Read

~2 min

Abstract Words

112

Citations

N/A

Abstract

Bernstein-Vazirani algorithm (the one-query algorithm) can identify a completely specified linear Boolean function using a single query to the oracle with certainty. The first aim of the paper is to show that if the provided Boolean function is affine, then one more query to the oracle (the two-query algorithm) is required to identify the affinity of the function with certainty. The second aim of the paper is to show that if the provided Boolean function is incompletely defined, then the one-query and the two-query algorithms can be used as bounded-error quantum polynomial algorithms to identify certain classes of incompletely defined linear and affine Boolean functions respectively with probability of success at least 2/3.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2014 reference point for readers tracking recent quantum research.
  • Bernstein-Vazirani algorithm (the one-query algorithm) can identify a completely specified linear Boolean function using a single query to the oracle with certainty.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1407.6402 [2] arXiv https://arxiv.org/abs/1407.6402 [3] Publisher https://arxiv.org/abs/1407.6402

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