Bases for Spin Systems and Qudits

摘要

There is a growing interest these days for the field of quantum information and quantumcomputation (for which classical bits are replaced by qubits in dimension 2 and qudits in dimensiond). This field is at the crossing of mathematics, informatics and quantum physics. In this work, basesof relevance for spin systems with cyclic symmetry as well as for quantum information and quantumcomputation are discussed from the theory of angular momentum and group-theoretical methods.This approach is connected to the use of generalized Pauli matrices (in dimension d) arising from apolar decomposition of the group SU_2. Examples are given