A method for constructing a zigzag-shaped stable subcode based on cluster state

A technology of stabilizing subcodes and stabilizing subcodes, which is applied in the field of analytical construction of quantum stable subcodes, which can solve problems such as unoptimism, weak quantum entanglement in security, and low entanglement in graph states, and achieve good scalability.

Active Publication Date: 2019-10-11
易迅通科技有限公司
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Problems solved by technology

But its disadvantage is that because the code set search problem is a complete NP problem, it is very pessimistic to rely solely on limited search when faced with building longer and higher-dimensional error correction codes.
But its disadvantage is that the graph state does not have a high degree of entanglement, the security is relatively weak, and the quantum entanglement is easily eliminated
It is not easy to prepare the graph state in the experiment, and many conclusions based on the graph state are difficult to be verified in the experiment, so its operational practicability will not be very high

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  • A method for constructing a zigzag-shaped stable subcode based on cluster state
  • A method for constructing a zigzag-shaped stable subcode based on cluster state
  • A method for constructing a zigzag-shaped stable subcode based on cluster state

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[0022] In terms of graph structure, the cluster state is in the form of an n-dimensional cubic lattice, its vertex represents a qubit, and its edge represents the adjacent relationship between different qubits. The following specifically explains the implementation process of the "日" font structure-stabilizing subcode construction method based on the cluster state.

[0023] Step 1, for the graph structure of the cluster state, the vertex of each grid represents a qubit, and the edge represents the adjacent qubits, such as figure 2 As shown; take one square as the translation unit, each qubit as the starting point i, take two squares as the interaction spanning unit, and the qubit that forms a diagonal line with the starting point as the end point m, connect the starting point and the ending point, so that the starting point i and point m form a "day"-shaped structure, and establish the interaction between quantum in the cluster state, that is, X-flip the two qubits located on...

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Abstract

The invention discloses a construction method of a stable subcode of a Japanese-shaped structure based on cluster states. The construction method adopted is to select two qubits whose cluster states are located on the diagonal of the Japanese-shaped lattice for X flipping. Compared with The significant improvement of the graph-state chain construction method is that two more Z-flips can be constructed on the middle edge of the two X-flips, so the encoding utilization of qubits is significantly improved. The method of constructing stable subcodes proposed by the present invention has good scalability and can be freely extended to larger cluster states. Selecting the same construction method can construct a family of stabilizers with the same characteristics; this construction method Not only can it be applied to cluster state structures, but it can also be generalized in other two-dimensional planar polygonal structures to construct quantum error-correcting codes under different symmetries.

Description

technical field [0001] The invention belongs to the technical field of quantum security communication, and in particular relates to an analytical construction method of a quantum stable subcode based on a cluster state. Background technique [0002] With the development of quantum error-correcting codes, there are many effective methods for constructing stable subcodes. Among them, the method of using graph states to construct stable subcodes has also been proposed, and there are construction advantages that other construction methods do not have. For example, the transformation characteristics of quantum errors, the code family can be controlled in the system of the same size, and the new structure of the code can be discovered by using the geometric structure of the graph, etc. On the basis of two-dimensional graph state and high-dimensional graph state, the construction of quantum error-correcting codes has been realized and fully verified. [0003] Document 1: "Quantum...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H03M13/29G06N10/00
Inventor 曹正文张爽浩彭进业曾贵华赵光柴庚李东伟
Owner 易迅通科技有限公司
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