Controlled Double-Direction Cyclic Quantum Communication of Arbitrary Two-Particle States.

Area of Science:

• Quantum Information Science
• Quantum Communication
• Quantum Entanglement

Background:

• Controlled double-direction cyclic (CDDC) quantum communication is crucial for advanced quantum networks.
• A significant challenge lies in selecting appropriate quantum channels for multi-particle entangled states in CDDC protocols.
• Existing methods lack comprehensive solutions for bidirectional, controlled multi-particle quantum communication.

Purpose of the Study:

• To construct a suitable quantum channel for CDDC quantum communication of two-particle states.
• To propose and investigate novel CDDC schemes for quantum teleportation (QT) and remote state preparation (RSP).
• To extend these schemes for n>3 communicating parties and analyze their performance.

Main Methods:

• Creation of a 25-particle entangled state using Hadamard and controlled-NOT (CNOT) gates.
• Development of two new four-party CDDC schemes based on the entangled state as a quantum channel.
• Extension of schemes for n>3 parties and derivation of universal analytical formulas for local operations.

Main Results:

• Successful implementation of two novel CDDC schemes for QT and RSP, enabling synchronous transmission of two arbitrary two-particle states.
• Demonstration of 100% success probability for all proposed schemes.
• Extension of the schemes to n>3 parties with universal analytical formulas for operations.

Conclusions:

• The proposed CDDC schemes provide a robust theoretical foundation for bidirectional controlled quantum communication of multi-particle states.
• These schemes enhance security and capacity, meeting diverse future network requirements.
• The reliance on current technologies like projective measurements and Pauli gates ensures practical feasibility.