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Maximal Holevo Quantity Based on Weak Measurements.

Yao-Kun Wang1, Shao-Ming Fei2, Zhi-Xi Wang3

  • 11] Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China [2] College of Mathematics, Tonghua Normal University, Tonghua, Jilin 134001, China.

Scientific Reports
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PubMed
Summary
This summary is machine-generated.

We introduce a generalized maximal Holevo quantity for weak measurements, crucial for quantum information tasks. This new quantity is evaluated for Bell-diagonal states, offering insights into quantum communication protocols.

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Area of Science:

  • Quantum Information Theory
  • Quantum Measurement Theory

Background:

  • The Holevo bound is fundamental in quantum information theory, typically defined using optimal projective measurements.
  • Weak measurements are necessary in scenarios involving macroscopic systems or when controlled disturbance is desired, such as in quantum key distribution.

Purpose of the Study:

  • To propose and define the 'maximal Holevo quantity for weak measurements' as a generalization of the standard maximal Holevo quantity.
  • To systematically evaluate this new quantity for Bell-diagonal states.

Main Methods:

  • Definition of the maximal Holevo quantity for weak measurements.
  • Systematic evaluation of this quantity for Bell-diagonal quantum states.
  • Analysis of the physical realization of weak measurements using noise and projective measurements.

Main Results:

  • A series of results are obtained for the maximal Holevo quantity for weak measurements applied to Bell-diagonal states.
  • It is demonstrated that weak measurements can be physically realized through the combination of noise and projective measurements.

Conclusions:

  • The proposed maximal Holevo quantity for weak measurements extends the applicability of Holevo bounds to more realistic measurement scenarios.
  • The findings provide a deeper understanding of information-theoretic limits in quantum systems where only weak measurements are feasible or intentionally employed.