Abstract
Irreducible unitary representations of finite group and compact group describe quantum-state transformation (quantum coding) and quantum measurement (quantum decoding). The quantum teleportation and the quantum dense coding in a finite-dimensional Hilbert space are formulated in terms of an irreducible unitary representation of group. The description based on the group representation makes clear the similarity and difference between the quantum teleportation and the quantum dense coding.
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Ban, M. Quantum Teleportation and Quantum Dense Coding in a Finite-Dimensional Hilbert Space. International Journal of Theoretical Physics 42, 1–13 (2003). https://doi.org/10.1023/A:1023333820295
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DOI: https://doi.org/10.1023/A:1023333820295