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Quantum Circuit Design Gate Engineering
Quantum Simulation
Quantum State Preparation Representation
Entanglement Theory Quantum Correlations
Conjectured DXZ decompositions of a unitary matrix
arXiv
Authors: Alexis De Vos, Martin Idel, Stijn De Baerdemacker
Year
2021
Paper ID
41099
Status
Preprint
Abstract Read
~2 min
Abstract Words
76
Citations
N/A
Abstract
For any unitary matrix there exists a ZXZ decomposition, according to a theorem by Idel and Wolf. For any even-dimensional unitary matrix there exists a block-ZXZ decomposition, according to a theorem by Führ and Rzeszotnik. We conjecture that these two decompositions are merely special cases of a set of decompositions, one for every divisor of the matrix dimension. For lack of a proof, we provide an iterative Sinkhorn algorithm to find an approximate numerical decomposition.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- For any unitary matrix there exists a ZXZ decomposition, according to a theorem by Idel and Wolf.
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