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We introduce a new, efficiently computable measure for quantifying quantum entanglement. This measure precisely reflects the cost of preparing entangled states, offering a breakthrough in quantum information science.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Physics

Background:

  • Quantum entanglement is crucial for quantum information processing tasks like teleportation and quantum key distribution.
  • Quantifying entanglement meaningfully and efficiently has been a long-standing challenge in quantum information theory.

Purpose of the Study:

  • To introduce a novel entanglement measure with precise information-theoretic meaning.
  • To develop an efficiently computable method for quantifying entanglement.

Main Methods:

  • Introduced a new entanglement measure defined as the exact cost of preparing an entangled state.
  • Utilized quantum operations that preserve the positivity of the partial transpose.
  • Employed semidefinite programming for efficient computation of the entanglement measure.

Main Results:

  • The new entanglement measure has a precise information-theoretic meaning.
  • The measure is efficiently computable via semidefinite programming.
  • The measure exhibits desirable properties like additivity and faithfulness.

Conclusions:

  • This work provides a significant advancement in quantifying entanglement.
  • The new measure offers fundamental insights into quantum state entanglement structure.
  • It enables direct assessment and quantification of entanglement in quantum experiments.