Detecting Lower Bounds to Quantum Channel Capacities

Area of Science:

• Quantum Information Science
• Quantum Communication
• Channel Characterization

Background:

• Noisy quantum channels limit the reliable transmission of quantum information.
• Quantifying the capacity of quantum channels is crucial for quantum communication.
• Characterizing unknown quantum channels is a significant challenge.

Purpose of the Study:

• To develop a practical method for detecting lower bounds of quantum capacities for noisy quantum communication channels.
• To establish a technique that is independent of prior knowledge of the channel.
• To assess the efficiency of the proposed method on standard quantum channels.

Main Methods:

• Proposing a measurement-based approach to estimate lower bounds on quantum capacities.
• Implementing the method without requiring any prior information about the quantum channel's characteristics.
• Testing the method's performance on well-established single-qubit noisy channels and generalized Pauli channels in arbitrary dimensions.

Main Results:

• The proposed method successfully detects lower bounds for quantum capacities.
• The technique is shown to be easily implementable and robust.
• The method's efficiency is validated across various single-qubit noisy channels and generalized Pauli channels.

Conclusions:

• A practical and knowledge-independent method for bounding quantum channel capacities has been developed.
• The technique offers a valuable tool for characterizing noisy quantum communication channels.
• The findings contribute to the advancement of reliable quantum communication protocols.