2023
DOI: 10.1007/s00006-023-01279-7
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Clifford Algebras, Quantum Neural Networks and Generalized Quantum Fourier Transform

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Cited by 2 publications
(3 citation statements)
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“…These in turn make it possible to construct arbitrary density operators. In [17] we use these algebraic structures to build quantum perceptron models more suitable for analysis of multidimensional data and the generalized quantum Fourier transform taking into account the multivector structure of Clifford algebras. In the same spirit of applications of Clifford algebras for quantum machine learning, in this work, we are interested in Quantum Boltzmann machines with the cost function determined by quantum relative entropy.…”
Section: Clifford Algebras and Quantum Boltzmann Machinesmentioning
confidence: 99%
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“…These in turn make it possible to construct arbitrary density operators. In [17] we use these algebraic structures to build quantum perceptron models more suitable for analysis of multidimensional data and the generalized quantum Fourier transform taking into account the multivector structure of Clifford algebras. In the same spirit of applications of Clifford algebras for quantum machine learning, in this work, we are interested in Quantum Boltzmann machines with the cost function determined by quantum relative entropy.…”
Section: Clifford Algebras and Quantum Boltzmann Machinesmentioning
confidence: 99%
“…This appendix contains a brief review of Clifford algebras in the lines and notation of references [17,28]. A good review with several applications in Physics can be found in [29].…”
Section: Appendix Bmentioning
confidence: 99%
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