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Fermionic State Discrimination by Local Operations and Classical Communication.

Matteo Lugli1, Paolo Perinotti1, Alessandro Tosini1

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This summary is machine-generated.

Discriminating fermionic states using local operations and classical communication (LOCC) is challenging. However, adding an entangled ancillary system enables ideal state discrimination via LOCC measurements.

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Area of Science:

  • Quantum Information Science
  • Fermionic Systems
  • Quantum Communication

Background:

  • Local operations and classical communication (LOCC) are fundamental tools for manipulating quantum states.
  • Discriminating between quantum states is crucial for quantum information processing.
  • Fermionic systems exhibit unique properties that differ from bosonic or general quantum systems.

Purpose of the Study:

  • To investigate the feasibility of LOCC discrimination between bipartite pure states in fermionic systems.
  • To determine if ideal state discrimination performance is achievable for fermionic states using LOCC.
  • To explore the role of ancillary systems in enhancing LOCC discrimination for fermionic states.

Main Methods:

  • Analysis of LOCC protocols for bipartite pure fermionic states.
  • Introduction of an ancillary system of two fermionic modes in a maximally entangled state.
  • Perturbation analysis of state preparation probabilities to assess result stability.

Main Results:

  • LOCC measurements alone are generally insufficient for ideal state discrimination of fermionic systems.
  • An ancillary entangled fermionic system is shown to be a sufficient resource for achieving ideal LOCC discrimination.
  • A tight bound on the discrimination error is derived, considering perturbations in state preparation probability.

Conclusions:

  • Ideal LOCC discrimination of fermionic states requires additional resources beyond standard LOCC.
  • Entangled ancillary fermionic systems provide a viable pathway to overcome limitations in LOCC discrimination.
  • The derived error bound offers insights into the robustness of the proposed discrimination scheme.