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Updated: Oct 6, 2025
09:23
Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
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Unambiguous State Discrimination with Intrinsic Coherence
Jin-Hua Zhang1, Fu-Lin Zhang2, Zhi-Xi Wang3
1Department of Physics, Xinzhou Teacher's University, Xinzhou 034000, China.
Entropy (Basel, Switzerland)
|January 21, 2022
Summary
We found that distinguishing pure-pure quantum states is better than pure-mixed or mixed-mixed states under equal fidelity. Coherence can hinder or help quantum state discrimination depending on the system
Area of Science:
- Quantum Information Theory
- Quantum State Discrimination
- Quantum Optics
Background:
- Quantum state discrimination is crucial for quantum information processing.
- Understanding the role of coherence in state distinguishability is an ongoing challenge.
- Previous studies have explored discrimination of pure states, but mixed state scenarios require further investigation.
Purpose of the Study:
- To investigate the discrimination of pure-mixed (quantum filtering) and mixed-mixed quantum states.
- To compare the optimal success probability of these discriminations with pure-pure state discrimination.
- To analyze the impact of coherence on state discrimination across different system dimensions.
Main Methods:
- Theoretical analysis of quantum state discrimination protocols.
- Calculation of optimal success probabilities for various state pairs.
- Comparison of discrimination schemes under equal fidelity conditions.
- Extension of analysis to infinite-dimensional quantum systems.
Main Results:
- The pure-pure state discrimination scheme demonstrates superior performance over pure-mixed and mixed-mixed schemes when fidelities are equal.
- In quantum filtering, coherence in a single pure state is detrimental to discrimination in lower dimensions.
- Conversely, symmetrically distributed coherence in mixed-mixed states aids discrimination in lower dimensions.
- The influence of coherence on state discrimination can reverse in infinite-dimensional systems.
Conclusions:
- The choice of quantum state discrimination strategy significantly impacts success probability.
- Coherence plays a complex, dimension-dependent role in quantum state distinguishability.
- Findings offer insights for optimizing quantum information processing protocols by managing coherence.
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