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Quantum Entanglement

Introduction

Quantum entanglement is a fundamental phenomenon in quantum physics where two or more particles become correlated in such a way that the quantum state of each particle cannot be described independently.

Mathematical Description

The state of an entangled system can be written as:

\[|\psi\rangle = \frac{1}{\sqrt{2}}(|0\rangle_A|1\rangle_B - |1\rangle_A|0\rangle_B)\]

This is known as a Bell state, one of the simplest examples of quantum entanglement.

Applications

  1. Quantum Computing
  2. Quantum Cryptography
  3. Quantum Teleportation

Recent Developments

  • Experimental verification of quantum entanglement over long distances
  • Applications in quantum networks
  • Advances in quantum memory

References

  1. Nielsen, M. A., & Chuang, I. L. (2010). Quantum computation and quantum information.
  2. Aspect, A., Dalibard, J., & Roger, G. (1982). Experimental Test of Bell’s Inequalities.