Day 731: Symplectic Inner Product

Learning Objectives

• •**Define** the symplectic inner product on F₂^{2n}
• •**Prove** the connection between symplectic orthogonality and commutation
• •**Characterize** isotropic and Lagrangian subspaces
• •**Explain** why stabilizer groups are isotropic
• •**Understand** the symplectic group Sp(2n, F₂)
• •**Connect** Clifford operations to symplectic transformations

Today's Schedule (7 hours)