3.4. Preparing a permutation symmetric or antisymmetric state
Given two qubits 
and 
, we want to build a symmetrized state that remains invariant under a permutation of the qubits 
and 
, or an antisymmetrized state that is multiplied by 
under a permutation of the qubits 
and 
. In this section, we show how to prepare such states in a probabilistic manner with a quantum circuit prepared and simulated with Qiskit:
- Section 3.4.1, Creating random states
- Section 3.4.2, Creating a quantum circuit and initializing qubits
- Section 3.4.3, Creating a circuit that swaps two qubits with a controlled swap gate
- Section 3.4.4, Post selecting the control qubit until the desired state is obtained
- Section 3.4.5, Examples of final symmetrized and antisymmetrized states
3.4.1. Creating random states
We define a function called init_random() that creates random 1-qubit states s1 and s2 that we will use later to run experiments with random states:
def init_random...