Title: Measurement in the symplectic setting.
Abstract: In previous work, we have given generators for affine Lagrangian relations over an arbitrary field; exploiting the graphical calculus for affine relations. In the case of a finite field of odd prime order d, we have shown that this is isomorphic to qudit stabilizer circuits. In this talk, the question of measurement in this symplectic setting will be addressed. We show that the CPM construction applied to affine Lagrangian relations yields affine coisotropic relations; which can be obtained by adding the discard relation to affine Lagrangian relations. By splitting the decoherence maps in affine coisotropic relations, we obtain a two-sorted presentation for classical/stabilizer quantum circuits. We show that this is equivalent to adding injection and coinjection relations to affine Lagrangian relations. Time permitting, we will discuss the connection of this work to classical and quantum additive codes.
Recording (Passcode: 58n&dKr$)