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Method applied to quantum communication system and based on generalized graph state of Hadamard matrix construction

A quantum communication and matrix technology, applied in the field of quantum error-correcting codes, can solve problems that cannot meet the requirements of coding

Inactive Publication Date: 2018-09-28
XIDIAN UNIV
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Problems solved by technology

[0003] In summary, the problems in the prior art are: The existing technology only generalizes the two graphs of two points and three points, and the considered situation is too simple to meet the actual coding requirements

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  • Method applied to quantum communication system and based on generalized graph state of Hadamard matrix construction
  • Method applied to quantum communication system and based on generalized graph state of Hadamard matrix construction
  • Method applied to quantum communication system and based on generalized graph state of Hadamard matrix construction

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[0028] In order to make the object, technical solution and advantages of the present invention more clear, the present invention will be further described in detail below in conjunction with the examples. It should be understood that the specific embodiments described here are only used to explain the present invention, not to limit the present invention.

[0029] The extension of the present invention is based on the H matrix. On the one hand, it can be seen that this is a very natural extension by observing the definition of the graph state. Gates replace the original controlled gates. In this sense, the promotion of the present invention is based on the way of coding circuits rather than the way of stabilizers; on the other hand, the H matrix itself has huge mathematical significance, which has been related to Research content in multiple fields of information science.

[0030] Such as figure 1 As shown, the method for constructing a generalized graph state based on an H...

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Abstract

The invention belongs to the technical field of quantum error correction codes and discloses a method applied to a quantum communication system and based on the generalized graph state of the Hadamardmatrix construction. The method comprises the steps of selecting an appropriate H matrix; determining a meaningful graph in a simple graph of four points as a research object; replacing the discreteFourier transform in a multi-element graph state by the H matrix; replacing a corresponding controlled gate by a controlled Z gate defined by the H matrix; for a specific graph, calculating the entanglement characteristic of the specific graph, and analyzing the relation between the equivalence of the H matrix and the equivalent performance of the local area of a corresponding graph state. According to the invention, based on a coding line instead of a stabistor-based mode-expanded graph state, the method is provided. Meanwhile, the entanglement characteristics and the relevant properties of the generalized graph state of some simple graphs are given. Therefore, non-volatile quantum codes can be constructed.

Description

technical field [0001] The invention belongs to the technical field of quantum error-correcting codes, in particular to a method for constructing a generalized graph state based on a Hadamard (H) matrix applied to a quantum communication system. Background technique [0002] At present, the existing technologies commonly used in the industry are as follows: Quantum entanglement is the most important physical resource in the process of quantum information processing. It is the main factor for the acceleration of quantum computing relative to classical computing. It is not only one of the important features that distinguish quantum mechanics from classical physics, but also an important basis for the emergence of quantum information theory. Quantum information science will break through the limit of classical information in terms of improving computer speed, ensuring information security, increasing information capacity and improving detection accuracy, and this is precisely b...

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Application Information

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IPC IPC(8): H04L9/08
CPCH04L9/0858H04L9/0852
Inventor 王云江李佳桥石莎刘阳王增斌
Owner XIDIAN UNIV
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