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Thursday, 11 December 2025

what is Entanglement in quantum computing explain with examples

 Entanglement is a phenomenon in quantum computing where two or more particles (qubits) become linked in such a way that the state of one cannot be described independently of the other.1

When qubits are entangled, changing or measuring the state of one qubit instantly affects the state of its partner, no matter how far apart they are—even if they are on opposite sides of the universe.2 Albert Einstein famously called this "spooky action at a distance."3

Here is a breakdown of the concept using simple analogies and a technical example.

1. Simple Analogy: The Magic Coins

Imagine you have two "magic" coins that are entangled.4

  • Classical Coins: If you give one normal coin to a friend in New York and keep one in London, and you both flip them, your results are totally independent. You might get Heads while your friend gets Heads, Tails, etc.

  • Entangled Coins: If these coins were quantum entangled, they would have a guaranteed connection. You flip your coin in London and get Heads. Instantly, without checking, you know for a fact that your friend's coin in New York has landed on Tails.5

The key difference: In the classical world, the coin was always going to be Heads or Tails as it fell. In the quantum world, both coins are spinning in a blur (Superposition) until the exact moment you look at yours.6 The moment you look, both coins decide their state simultaneously.

2. Technical Example: The Bell State7

In a quantum computer, we don't use coins; we use Qubits.8

  • Step 1: You take two qubits, let's call them Qubit A and Qubit B.9 Both start at 0.

  • Step 2: You put Qubit A into a state of superposition (it is now 0 and 1 at the same time).10

  • Step 3: You pass both qubits through a standard quantum operation called a CNOT gate (Controlled-NOT).11 This gate entangles them.

The Result:

The two qubits are now in a special state (often called a "Bell State").12 If you measure Qubit A and find it is 0, Qubit B will instantly become 0.13 If you measure Qubit A and find it is 1, Qubit B will instantly become 1.14 They are perfectly synchronized.

Why is this useful for computers?

Entanglement is one of the superpowers that makes quantum computers faster than supercomputers for specific tasks.15

  • Information Density: Because entangled particles act as a single system, a quantum computer can process a massive amount of data simultaneously.

  • Quantum Teleportation: Entanglement allows information to be moved between qubits instantaneously, which is essential for future quantum communication networks.16

Summary Table

FeatureClassical Computer (Bits)Quantum Computer (Qubits)
ConnectionIndependent (Wires needed to link)Entangled (Invisible link)
MeasurementReading one bit tells you nothing about anotherReading one qubit reveals the state of the other
SpeedLinear processingExponential processing power

Why this video is relevant: This video provides a clear visual explanation of entanglement using the "gloves" analogy versus the "spinning coins" analogy, which helps visualize why quantum entanglement is different from just normal correlation.

Quantum Entanglement and the Great Shoe Paradox

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