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Related Experiment Video

Updated: Oct 2, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Published on: June 8, 2018

Helstrom Bound for Squeezed Coherent States in Binary Communication.

Evaldo M F Curado^1,2, Sofiane Faci^1,3, Jean-Pierre Gazeau^1,4

¹Centro Brasileiro de Pesquisas Físicas, Rua Xavier Sigaud 150, Rio de Janeiro 22290-180, Brazil.

Entropy (Basel, Switzerland)

|February 25, 2022

Summary

This summary is machine-generated.

Researchers explored quantum information processing by comparing squeezed coherent states with standard coherent states for distinguishing non-orthogonal quantum states. This study investigates conditions to minimize quantum errors, referencing the Helstrom bound for optimal discrimination.

Keywords:

Helstrom bound coherent states squeezed states

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Area of Science:

Quantum Information Science
Quantum Optics
Quantum State Discrimination

Background:

Distinguishing between non-orthogonal quantum states is fundamental in quantum information processing.
Quantum error probability arises when using receiver devices for state discrimination.
The Helstrom bound defines the theoretical minimum error for such discrimination tasks.

Purpose of the Study:

To investigate the conditions for state discrimination using squeezed coherent states.
To compare the performance of squeezed coherent states against standard coherent states in quantum information processing.
To analyze how different state types affect the Helstrom bound and quantum error probabilities.

Main Methods:

Utilizing theoretical analysis of quantum state discrimination protocols.
Employing mathematical frameworks to model squeezed coherent states and standard coherent states.
Comparing error probabilities derived from using each type of coherent state under identical discrimination conditions.

Main Results:

Squeezed coherent states offer potentially different or improved conditions for state discrimination compared to standard coherent states.
The study quantifies the impact of using squeezed states on the achievable Helstrom bound.
Comparative analysis reveals advantages or trade-offs associated with each state type in minimizing quantum errors.

Conclusions:

The choice of quantum states (squeezed vs. standard coherent) significantly impacts the efficiency and error rates in quantum information processing.
Understanding these conditions is crucial for designing advanced quantum receivers and optimizing quantum communication protocols.
This research contributes to the fundamental knowledge of quantum state discrimination and its practical implications.