We give an algebraic formulation based on Clifford algebras and algebraic spinors for quantum information. In this context, logic gates and concepts such as chirality, charge conjugation, parity and time reversal are introduced and explored in connection with states of qubits. Supersymmetry and M-superalgebra are also analyzed with our formalism. Specifically we use extensively the algebras [Formula: see text] and [Formula: see text] as well as tensor products of Clifford algebras.
Continuous and discrete symmetries. Parity (P) and its violation. T.D. Lee, C.N. Yang, and Madame Wu. The chirality of spin-1/2 particles. Left- and right-handed neutrinos. Sterile neutrinos. Charge-conjugation (C). The matter-antimatter question for neutrinos. Majorana neutrinos. Quantum baseball. Time reversal (T). The combined CP and CPT symmetries. The CPT theorem.
Time reversal and charge conjugation in an embedding quantum simulator
