Concepedia

Fourier Basis States

Fourier Basis States is a set of orthonormal quantum states in the Hilbert space that form the eigenbasis of the quantum Fourier transform, distinguished by their sinusoidal amplitude distributions across the computational basis with phases uniformly spaced in the Fourier transform domain.

11

Publications

378

Citations

29

Authors

16

Institutions

Publications per year

2017–2026

3

Parents

Publications

11

Quantum Implementation Circuits of Quantum Signal Representation and Type Conversion

Hai-Sheng Li, Ping Fan, Haiying Xia et al. · IEEE Transactions on Circuits and Systems I Regular Papers · 2018 · 112 citations

, , +16

Biorthogonal systems and bases in a Hilbert space

Charles Wiley Conatser · OakTrust (Texas A&M University Libraries) · 1963 · 72 citations

, , +11

On the Fourier orthonormal bases of Cantor–Moran measures

Liu He, Xing‐Gang He · Journal of Functional Analysis · 2016 · 51 citations

, , +6

Discrete phase-space structure of n-qubit mutually unbiased bases

A. B. Klimov, J. L. Romero, Gunnar Björk et al. · Annals of Physics · 2008 · 36 citations · Full text

, , +14

Learning Long Term Dependencies via Fourier Recurrent Units

Jiong Zhang, Yibo Lin, Zhao Song et al. · arXiv (Cornell University) · 2018 · 27 citations · Full text

, , +13

1–5 of 11

Authors

29

  1. IS
    Inderjit S. Dhillon

    The University of Texas at Austin, United States

    2 publications · 37 citations

    2

    h-index

  2. ZS
    Zhao Song

    The University of Texas at Austin, United States

    2 publications · 37 citations

    2

    h-index

  3. YL
    Yibo Lin

    Peking University, China

    2 publications · 37 citations

    2

    h-index

  4. HP
    Huiling Peng

    State Key Laboratory of Chemobiosensing and Chemometrics

    1 publications · 112 citations

    1

    h-index

  5. JZ
    Jiong Zhang

    Chinese Academy of Sciences, China

    1 publications · 27 citations

    1

    h-index

1–5 of 29

Institutions

16

  1. East China Jiaotong University

    Nanchang, China

    1 h-index

    1 publications

    112 citations

  2. Central China Normal University

    Wuhan, China

    1 h-index

    2 publications

    102 citations

  3. The University of Texas at Austin

    Austin, United States

    1 h-index

    4 publications

    40 citations

  4. National University of Singapore

    Singapore, Singapore

    1 h-index

    3 publications

    45 citations

  5. Guangxi Normal University

    Guilin, China

    1 h-index

    4 publications

    448 citations

  6. Centre for Quantum Technologies

    Singapore, Singapore

    1 h-index

    3 publications

    45 citations

  7. University of Namur

    Namur, Belgium

    1 h-index

    2 publications

    22 citations

  8. University of Utah

    Salt Lake City, United States

    1 h-index

    1 publications

    11 citations

1–8 of 16

Venues

  1. arXiv (Cornell University)

    Repository · 3 publications · 50 citations

    3

    h-index

  2. International Conference on Machine Learning

    Conference · 1 publications · 10 citations

    1

    h-index

  3. Tellus A Dynamic Meteorology and Oceanography

    1 publications · 21 citations

    1

    h-index

  4. 1

    h-index

  5. The Journal of Chemical Physics

    1 publications · 11 citations

    1

    h-index

1–5