Uncertainty Relation for the Discrete Fourier Transform
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Publication:3107685
DOI10.1103/PhysRevLett.100.190401zbMath1228.81192arXiv0710.0723OpenAlexW2053734218WikidataQ27348013 ScholiaQ27348013MaRDI QIDQ3107685
Philippe Spindel, Serge Massar
Publication date: 26 December 2011
Published in: Physical Review Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0710.0723
Numerical methods for discrete and fast Fourier transforms (65T50) Commutation relations and statistics as related to quantum mechanics (general) (81S05)
Related Items (10)
Steerability criteria based on Heisenberg–Weyl observables ⋮ On the discrete Wigner function for $\mathrm{SU(N)}$ ⋮ Uncertainty relations on the joint numerical range of operators ⋮ Phase-number uncertainty from Weyl commutation relations ⋮ General phase spaces: from discrete variables to rotor and continuum limits ⋮ Autonomous quantum machines and finite-sized clocks ⋮ Entropic bounds as uncertainty measure of unitary operators ⋮ Generalized uncertainty relations ⋮ Sequences with minimal time-frequency uncertainty ⋮ Improved unitary uncertainty relations
Cites Work
- Security of Quantum Bit String Commitment Depends on the Information Measure
- Number-phase uncertainty relations
- The discrete harmonic oscillator, Harper's equation, and the discrete fractional Fourier transform
- Quantum Cryptography with 3-State Systems
- Single Band Motion of Conduction Electrons in a Uniform Magnetic Field
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