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Sunday, 28 December 2025

what is  Quantum Teleportation in  quantum computing. explain with examples

 Quantum teleportation is a fundamental protocol in quantum computing that allows for the transfer of a quantum state (the information inside a qubit) from one location to another.

Despite the name, no matter or energy is physically moved. Instead, the process uses quantum entanglement and classical communication to recreate the exact state of a qubit at a distant location while destroying the original.


1. Why is Teleportation Necessary?

In classical computing, if you want to move a "1" from Computer A to Computer B, you simply copy it. In quantum mechanics, this is impossible because of two laws:

  • No-Cloning Theorem: You cannot create an identical copy of an unknown quantum state.

  • Measurement Collapse: If you try to "read" the information in a qubit to send it, you collapse its superposition, destroying the very information you wanted to send.

Teleportation is the "workaround" that moves information without ever actually "looking" at it.


2. The Step-by-Step Process (Alice and Bob)

Imagine Alice has a qubit in an unknown state $|\psi\rangle$ (the "message") and wants to send it to Bob.

  1. Preparation (Shared Entanglement): Alice and Bob first share a pair of entangled qubits. Alice takes one, and Bob takes the other. They can now be thousands of miles apart.

  2. Interaction: Alice takes her "message" qubit and her half of the entangled pair and performs a joint operation (a CNOT gate followed by a Hadamard gate). This links the message to the entangled pair.

  3. Measurement: Alice measures her two qubits. This measurement "destroys" her original message but produces two ordinary classical bits (00, 01, 10, or 11).

  4. Classical Transmission: Alice sends those two classical bits to Bob via standard means (like an email or a phone call). This is why teleportation isn't "faster than light"—Bob must wait for this message.

  5. Reconstruction: Depending on the bits Bob receives, he applies specific "fixes" (Pauli-X or Pauli-Z gates) to his half of the entangled pair.

    • Example: If Alice sends "11", Bob might flip his qubit's phase and state. After this, Bob’s qubit becomes an exact replica of Alice’s original message $|\psi\rangle$.


3. Real-World Examples & Applications

Distributed Quantum Computing

Think of a large quantum computer as several small chips connected together. To move a "calculation" from Chip A to Chip B without losing the delicate quantum data, the computer uses teleportation to hop the state across the wires.

The Quantum Internet

In 2017, Chinese scientists successfully teleported a photon's state from a ground station in Tibet to a satellite called Micius orbiting 1,400 km (870 miles) above Earth. This is a foundational step toward a global, unhackable quantum communication network.

Quantum Error Correction

Quantum computers are very "noisy." Teleportation is used in error-correction protocols to move "clean" quantum information away from "noisy" hardware components, ensuring calculations stay accurate.


Comparison Table

FeatureClassical "Teleportation" (Fax/Email)Quantum Teleportation
Original StateRemains (you have a copy)Destroyed (No-Cloning Theorem)
Physical TransferDigital signals over wiresQuantum Entanglement + Classical Bits
SpeedSpeed of lightLimited by speed of classical bits
SecurityCan be intercepted/copiedPerfectly secure; any interference breaks it

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