On Admissible States of Quantum Fourier Transform
Arpita Maitra, Santanu Sarkar
TL;DR
This paper develops a methodology to identify admissible basis states for Quantum Fourier Transform across different dimensions, revealing new insights and correcting previous incomplete results for qubits and qutrits.
Contribution
It introduces a general approach to find admissible states for QFT in qudits, including corrections to prior work and extensions to higher dimensions.
Findings
Identified incomplete results in previous qubit QFT characterizations.
Characterized admissible qutrit states for QFT.
Discussed theoretical aspects of higher-dimensional QFT.
Abstract
We present a general methodology to obtain the basis of qudits which are admissible to Quantum Fourier Transform (QFT). We first study this method for qubits to characterize the ensemble that works for the Hadamard transformation (QFT for two dimension). In this regard we identify certain incompleteness in the result of Maitra and Parashar (IJQI, 2006). Next we characterize the ensemble of qutrits for which QFT is possible. Further, some theoretical results related to higher dimensions are also discussed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.