Abstract
Abstract
In this paper we extend the concept of tensor product to the bicomplex case and use it to prove the bicomplex counterpart of the classical Choi theorem in the theory of complex matrices and operators. The concept of hyperbolic tensor product is also discussed, and we link these results to the theory of quantum channels in the bicomplex and hyperbolic case.
Reference24 articles.
1. Hypercomplex algebras in digital signal processing: benefits and drawbacks;Alfsmann,2007
2. A new tensor product formulation for toom's convolution algorithm;Elnaggar;IEEE Trans. Signal Process.,1999
3. A tensor product factorization of the linear convolution matrix;Granata;IEEE Transactions of Circuits and Systems,1991
4. Uniqueness of the scalar product in the tensor product of quaternion Hilbert modules;Razon;J. Math. Phys.,1992