// Code Glimpse

Understanding Quantum Teleportation Algorithm

Introduction

Quantum Computing has revolutionized the paradigm of computational theory, with promising applications in various fields, one of them being Quantum Teleportation. Despite its science-fiction sounds, quantum teleportation doesn't involve physical transportation but pertains to the realm of data exchange.

Quantum teleportation allows the transport of quantum information from one location to another, with the help of classical communication and previously shared quantum entanglement between the sending and receiving location.

In this blog post, we delve into the details of the Quantum Teleportation Algorithm illustrating with a working example using Qiskit, an open-source software development kit (SDK) for working with quantum computers at the level of pulses, circuits, and algorithms.

Quantum Teleportation Algorithm

The quantum teleportation algorithm consists of the following steps:

  1. The sender, Alice, and the receiver, Bob, share an entangled pair of qubits.
  2. Alice applies a controlled-not operation from her data qubit to her half of the entangled pair.
  3. Alice then applies a Hadamard operation to her data qubit.
  4. Alice measures both her data qubit and her half of the entangled pair.
  5. Alice communicates her measurement results to Bob using classical communication.
  6. Depending on Alice's measurements, Bob applies certain gates to his half of the entangled pair.
  7. Now, Bob's qubit is the same as Alice's original data qubit.

Let's implement the above steps using Qiskit.

Code Snippet

We will use Qiskit to set up our quantum teleportation circuit. Make sure that the Qiskit package is installed in your environment.

# Install Qiskit
!pip install qiskit

Let's construct our quantum teleportation circuit.

# Import Necessary Libraries
from qiskit import QuantumCircuit, transpile, assemble, Aer, execute
from qiskit.visualization import plot_bloch_multivector, plot_histogram

# Create a 3-qubit quantum circuit
qc = QuantumCircuit(3,3)

# Step 1
# Alice and Bob share the entangled pair
qc.h(1)
qc.cx(1,2)
qc.barrier()

# Step 2 & 3
# Alice applies a CNOT gate followed by Hadamard gate
qc.cx(0,1)
qc.h(0)
qc.barrier()

# Step 4
# Alice Measures
qc.measure([0,1], [0,1])
qc.barrier()

# Step 5 & 6
# Bob Applies gates based on Alice's results
qc.cx(1,2)
qc.cz(0,2)
qc.barrier()

# Step 7
# Measure Bob's qubit
qc.measure(2,2)

# Display the circuit
qc.draw('mpl')

This program will give us our Quantum circuit for teleportation which we can implement and execute further.

Conclusion

In this blog post, we have demonstrated the theory and implementation of quantum teleportation using the Qiskit framework. This foundational protocol is a starting point that can lead us to more complex forms of quantum data transmission and quantum internet in the future.