An Introduction to Quantum Entanglement using the B.S./A.S.S. Framework

In the world of quantum computing, concepts can seem far removed from our everyday experience. One such concept is Quantum Entanglement. Today, we’re going to break down this concept using the B.S. (Before Singularity) and A.S.S. (After Singularity/Superposition) framework and provide code examples using Qiskit, a popular software development kit for quantum computing.

##B.S. (Before Singularity): Classical Computing

In B.S. (Before Singularity), we are accustomed to bits in classical computing. These bits hold information that can either be a 0 or a 1. Let’s consider two classical bits A and B. They can be in one of four states: 00, 01, 10, or 11. So, if we know the state of A, it tells us nothing about the state of B and vice versa. They are independent.

python
# Classical bits A and B
A = 0
B = 1

##A.S.S. (After Singularity/Superposition): Quantum Computing

In A.S.S. (After Singularity/Superposition), quantum bits (qubits) come into play. Unlike classical bits, a qubit can be in a state 0, 1, or any superposition of these states. Now, consider two qubits in an entangled state. The fascinating thing about entangled qubits is that the state of one qubit is directly related to the state of the other, regardless of the distance between them.

This can be represented as:

|Ψ⟩ = α|00⟩ + β|11⟩

This equation describes a quantum state where α and β are probability amplitudes. If we measure one qubit and find it in state 0 (or 1), the other qubit will also be found in the same state instantly, even if they are light-years apart! This is the magic of Quantum Entanglement, and this property is what makes quantum computers so powerful.

Let’s see how to create an entangled state using Qiskit:

python
from qiskit import QuantumCircuit

# Create a Quantum Circuit with 2 qubits
qc = QuantumCircuit(2)

# Apply a Hadamard gate to the first qubit
qc.h(0)

# Apply a CNOT gate
qc.cx(0, 1)

# Visualize the circuit
print(qc)

The Hadamard gate (h) puts the first qubit into a superposition state, and the CNOT gate creates an entanglement between the two qubits. When you run this circuit on a quantum computer, the two qubits will be in an entangled state.

In conclusion, Quantum Entanglement is a key component in the realm of quantum computing, enabling phenomena such as quantum teleportation and superdense coding. By understanding it from a B.S./A.S.S. perspective, we hope you have gained a better insight into this fascinating quantum computing concept.