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Activating Hidden Metrological Usefulness.

Géza Tóth1, Tamás Vértesi2, Paweł Horodecki3

  • 1Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, E-48080 Bilbao, Spain, Donostia International Physics Center (DIPC), P.O. Box 1072, E-20080 San Sebastián, Spain, IKERBASQUE, Basque Foundation for Science, E-48013 Bilbao, Spain, and Wigner Research Centre for Physics, Hungarian Academy of Sciences, P.O. Box 49, H-1525 Budapest, Hungary.

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Summary
This summary is machine-generated.

Certain bipartite entangled states offer metrological advantages over separable states, especially with multiple copies or ancilla addition. This study identifies conditions and methods for optimizing their quantum metrology performance.

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Area of Science:

  • Quantum Information Science
  • Quantum Metrology

Background:

  • Bipartite entangled states are crucial in quantum information.
  • Their metrological applications are often limited by interferometer type.
  • Separable states serve as a benchmark for quantum state utility.

Purpose of the Study:

  • To investigate entangled states that do not outperform separable states in linear interferometers.
  • To demonstrate enhanced metrological usefulness of these states via state replication or ancilla addition.
  • To develop a general method for finding optimal local Hamiltonians for quantum metrology.

Main Methods:

  • Analysis of bipartite entangled states in linear interferometers.
  • Introduction of multiple copies and ancilla qubits to enhance metrology.
  • Development of a general method to determine optimal local Hamiltonians.
  • Analytical derivation of optimal Hamiltonians for symmetric quantum states.

Main Results:

  • Identified specific bipartite entangled states with limited interferometer performance.
  • Demonstrated that these states can surpass separable states with added resources (copies/ancilla).
  • Established a general method for optimizing local Hamiltonians for quantum metrology.
  • Proved that all bipartite entangled pure states outperform separable states in metrology.
  • Derived analytical solutions for optimal Hamiltonians in high-symmetry cases.

Conclusions:

  • Entangled states, even those initially underperforming, possess significant metrological potential.
  • Resource enhancement (state copies, ancilla) unlocks superior metrology.
  • The developed method provides a pathway to optimize quantum states for metrological tasks.
  • All bipartite entangled pure states are fundamentally advantageous for metrology.