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Journal of Xuzhou Institute of Technology

Dense Coding Plan of Using a Non-symmetric Multipartite Quantum Channel

Fan Qiu

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

A dense coding scheme which employs non-symmetric two-particle entangled state as quantum channel is advanced.By way of theoretical deduction,the two-particle state is extended to multipartite state: namely,the sender(Alice) and the receiver(Bob) carry along coding by making use of the shared N particle beams in non-symmetric Hilbert space.As a result,the efficiency of information transmission is dramatically increased.

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A dense coding scheme which employs non-symmetric two-particle entangled state as quantum channel is advanced.By way of theoretical deduction,the two-particle state is extended to multipartite state: namely,the sender(Alice) and the receiver(Bob) carry along coding by making use of the shared N particle beams in non-symmetric Hilbert space.As a result,the efficiency of information transmission is dramatically increased.
A scheme of controlled dense coding was proposed by using non-symmetric quantum channel in3×2×2 dimensional entangled state.The collapse of the state and entanglement between Alice and Bob were controlled by Charlie's local measurement on his particle in two dimension.Then the 3×2 dimensional non-symmetric quantum channel was controlled.It can be seen that the average amount of transmitted information of dense coding was controlled by Charlie's measurement angle.One can find that the average amount of information is more than 2 bits by using maximally entangled state in the non-symmetric quantum channel.Thus,this scheme is high-efficiency.In the case the entanglement is non-maximally,the transmitted information is determined by the measurement angle 6 and the coefficient /3 of the entangled state.
A quantum secure direct communication scheme using dense coding is proposed. At first, the sender (Alice) prepares four-particle genuine entangled states and shares them with the receiver (Bob) by sending two particles in each entangled state to him. Secondly, Alice encodes secret information by performing the unitary transformations on her particles and transmits them to Bob. Finally, Bob performs the joint measurements on his particles to decode the secret information. The two-step security test guarantees the security of communication.
In quantum communication, the concept of dense coding traditionally relies on maximally entangled states as quantum channels. Recent advancements have expanded this framework to include non-maximally entangled states within the probabilistic dense coding paradigm. However, such schemes introduce a significant limitation: the receiver cannot always retrieve the complete dense coding information sent by the sender. Consequently, the receiver must inform the sender of the amount of information successfully received. Based on this feedback, the sender determines whether retransmission is necessary, leading to inefficient use of the quantum channel and reduced communication efficiency. To address these shortcomings, we propose an alternative deterministic quantum dense coding scheme that utilizes non-maximally entangled states as the quantum channel. This deterministic approach eliminates the need for retransmissions and significantly enhances communication efficiency while maintaining compatibility with non-maximally entangled states. Our scheme represents a substantial improvement over existing probabilistic methods and paves the way for more efficient quantum communication protocols.