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Related Experiment Videos

Generic entanglement can be generated efficiently.

R Oliveira1, O C O Dahlsten, M B Plenio

  • 1IBM Watson Research Center, Yorktown Heights, NY 10598, USA. rob.oliv@gmail.com

Physical Review Letters
|May 16, 2007
PubMed
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Generic entanglement, crucial for quantum computing, can be efficiently generated using random two-qubit gates. This process achieves the average entanglement distribution of the uniform measure in polynomial time, specifically O(N^3) steps for N qubits.

Area of Science:

  • Quantum Information Science
  • Quantum Entanglement Theory

Background:

  • Generic entanglement is a key resource in quantum information processing.
  • Understanding the efficient generation of generic entanglement is crucial for practical quantum protocols.

Purpose of the Study:

  • To investigate the physical realizability and efficiency of generating generic entanglement.
  • To determine the time complexity for achieving the uniform entanglement measure using random quantum gates.

Main Methods:

  • Analysis of entanglement generation through random two-qubit gates.
  • Theoretical proof of polynomial time complexity for achieving average entanglement.
  • Numerical simulations to observe entanglement distribution and variation cutoff.

Main Results:

Related Experiment Videos

  • Generic entanglement can be physically generated in polynomial time (O(N^3) steps for N qubits).
  • This process efficiently reaches the average entanglement of the uniform (unitarily invariant) measure.
  • Numerical results indicate a variation cutoff for achieving the uniform entanglement distribution.

Conclusions:

  • The efficient generation of generic entanglement is physically achievable.
  • The findings have implications for entanglement theory and quantum protocols relying on generic entanglement.