A family of quantum protocols.

Area of Science:

• Quantum Information Science
• Quantum Communication Protocols

Background:

• Existing quantum protocols often lack a unified framework, especially when dealing with noisy quantum channels and entangled states.
• Understanding the relationship between different quantum information tasks is crucial for advancing the field.

Purpose of the Study:

• To introduce novel quantum protocols that bridge noisy quantum channels and entangled states.
• To establish operational and conceptual links between new and established quantum protocols.
• To provide simplified proofs for key quantum information inequalities and capacities.

Main Methods:

• Development of three new quantum protocols, termed 'mother' and 'father' protocols.
• Utilizing quantum teleportation and superdense coding to derive other protocols.
• Applying the concept of 'coherent' transformations to existing quantum protocols.

Main Results:

• The new protocols establish clear operational and conceptual relationships with four well-known protocols.
• Two new protocols generate five other protocols through teleportation and superdense coding.
• Simplified proofs for the hashing inequality and quantum channel capacity were derived.

Conclusions:

• The introduced protocols offer a unified and simplified approach to quantum information processing tasks.
• This work provides a foundation for optimizing trade-off curves in various quantum information processing applications.
• The findings enhance the understanding of the interplay between noisy channels, entanglement, and fundamental quantum information limits.