Method for detecting complete separability of four-quantum-bit W-GHZ mixed state in noise environment based on entanglement witness

A W-GHZ, qubit technology, applied to secure communication devices, key distribution, can solve problems such as lagging research stages

Inactive Publication Date: 2020-05-08
ZHEJIANG GONGSHANG UNIVERSITY
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Problems solved by technology

However, the problem of entanglement determination for other four-qubit states and more qubits is still in a relatively lagging research stage.

Method used

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  • Method for detecting complete separability of four-quantum-bit W-GHZ mixed state in noise environment based on entanglement witness
  • Method for detecting complete separability of four-quantum-bit W-GHZ mixed state in noise environment based on entanglement witness
  • Method for detecting complete separability of four-quantum-bit W-GHZ mixed state in noise environment based on entanglement witness

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Embodiment

[0139] 1 Experimental results of measuring the complete separability of the four-qubit W-GHZ mixed state in a noisy environment

[0140] For a full separability measurement of a noisy four-qubit W-GHZ mixed state, we traverse z i =cosθ i θ in (i=1,2,3) i , find the optimal entanglement witness, and then change Find a suitable matching entangled witness and draw figure 1 . Among them, when Θ∈[62°,90°] and Θ∈[0°,29°], the boundary conforms to a specific fitting curve, while the middle part can only be represented by discrete numerical points. Then, we use the optimal product state to verify from the perspective of sufficiency figure 1 The correctness of the resulting bounds, obtained by computing figure 2 . We find from the two figures that figure 2 The sufficiency calculation results in and the bounds obtained by the entangled witness method almost coincide. Therefore, it is proved that the method of the present invention is feasible after eliminating calculatio...

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Abstract

The invention provides a method for detecting the complete separability of a four-quantum-bit W-GHZ mixed state in a noise environment based on an entanglement witness. The method comprises the following steps: analyzing the four-quantum-bit W-GHZ mixed state to obtain a corresponding density matrix, calculating an expression of quantum state entanglement detection by utilizing entanglement witness and a mathematical technology, and evaluating the expression by using MATLAB to obtain and draw boundary points for distinguishing a completely separable state and an entanglement state. Finally, the method is verified from the perspective of sufficiency. Results prove that the method can well detect the completely separable state of the quantum mixed state.

Description

technical field [0001] The technology of the invention belongs to the field of quantum information. The present invention proposes a detection method for the complete separability of the four-qubit W-GHZ mixed state based on entanglement witnesses in a noise environment. The corresponding density matrix is ​​obtained by analyzing the four-qubit W-GHZ mixed state, and then Using entanglement witnesses and mathematical methods to calculate the expression of the entanglement detection of the quantum state, and then use MATLAB to evaluate this expression, to obtain and draw the boundary point that distinguishes the completely separable state and the entangled state. Finally, the above method is verified from the perspective of sufficiency. Background technique [0002] As one of the important resources in quantum information, quantum entanglement is a special phenomenon that only exists in quantum systems, and it is a unique interaction between particles. The existence of quan...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/08
CPCH04L9/0852H04L9/0858
Inventor 黄子欣蒋丽珍
Owner ZHEJIANG GONGSHANG UNIVERSITY
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