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Entanglement-assisted weak value amplification.

Shengshi Pang1, Justin Dressel2, Todd A Brun1

  • 1Department of Electrical Engineering, University of Southern California, Los Angeles, California 90089, USA.

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Summary
This summary is machine-generated.

This study enhances weak value amplification using entanglement to boost measurement sensitivity and precision. Entangling multiple ancillas increases efficiency and preserves quantum Fisher information for optimal parameter estimation.

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Area of Science:

  • Quantum metrology
  • Quantum information science
  • Precision measurement

Background:

  • Large weak values amplify linear response signals for precise parameter estimation.
  • Current methods are limited by low postselection probabilities for ancilla degrees of freedom.

Purpose of the Study:

  • To improve weak value amplification efficiency using entanglement.
  • To increase postselection probability without sacrificing weak value magnitude.
  • To preserve quantum Fisher information for sensitive parameter estimation.

Main Methods:

  • Utilizing entanglement to link multiple ancilla qubits.
  • Postselecting on entangled ancillas to enhance signal amplification.
  • Analyzing quantum Fisher information in the postselected state.

Main Results:

  • Entangling and postselecting n ancillas increases postselection probability by a factor of n.
  • Weak value is maintained while improving efficiency, achieving optimal scaling.
  • Quantum Fisher information is significantly preserved, allowing near-saturation of the quantum Cramér-Rao bound.

Conclusions:

  • Entanglement-assisted weak value amplification offers a more efficient and sensitive method for parameter estimation.
  • The protocol is compatible with current experimental capabilities, demonstrated with three-qubit circuits.