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Experimental Minimum-Error Quantum-State Discrimination in High Dimensions.

M A Solís-Prosser1,2, M F Fernandes3, O Jiménez4

  • 1Center for Optics and Photonics and MSI-Nucleus on Advanced Optics, Universidad de Concepción, Casilla 4016, Concepción, Chile.

Physical Review Letters
|March 25, 2017
PubMed
Summary
This summary is machine-generated.

Researchers experimentally demonstrated minimum-error (ME) measurement for distinguishing nonorthogonal quantum states in high dimensions. This technique optimizes quantum state discrimination, crucial for advanced quantum information processing and communication protocols.

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Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Quantum Measurement

Background:

  • Quantum mechanics limits perfect discrimination of nonorthogonal states in single measurements.
  • Various strategies have been developed to optimize this discrimination task.
  • Minimum-error (ME) measurement is a foundational technique in quantum information processing.

Purpose of the Study:

  • To provide the first experimental demonstration of minimum-error (ME) measurement for discriminating nonorthogonal states in high dimensions.
  • To validate the performance of ME measurement in complex quantum systems.

Main Methods:

  • Utilized symmetric pure states encoded in the transverse spatial modes of an optical field.
  • Implemented optimal measurement via projection onto the Fourier transform basis of these modes.
  • Tested across dimensions D=2 to D=21, involving approximately 14,000 states.

Main Results:

  • Achieved excellent performance with experimental deviations from theoretical values ranging from 0.3% to 3.6%.
  • The vast majority of results showed deviations below 2%, confirming the scheme's accuracy.
  • Successfully demonstrated high-dimensional discrimination of nonorthogonal quantum states.

Conclusions:

  • The experimental demonstration confirms the efficacy of ME measurement for high-dimensional quantum state discrimination.
  • This technique serves as a critical component for advancing high-dimensional quantum communication protocols.
  • Enables future implementations in areas like probabilistic state discrimination and quantum cryptography.