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Quantum code symptom extraction line design method based on equivalent unidirectional CNOT gate

A circuit design and symptom technology, which is applied in the circuit design of quantum code symptom extraction of effective one-way CNOT gate, and the field of quantum error correction code symptom extraction, can solve the problem of large resource consumption and reduce the number of time slots and the number of time slots The effect of reducing and reducing consumption

Active Publication Date: 2020-04-17
XIDIAN UNIV
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Problems solved by technology

[0005] The object of the present invention is to aim at the deficiency of above-mentioned existing technology, has proposed a kind of quantum code symptom extraction circuit design method based on equivalent one-way CNOT gate, is used to solve The technical problem of large resource consumption in the prior art

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  • Quantum code symptom extraction line design method based on equivalent unidirectional CNOT gate
  • Quantum code symptom extraction line design method based on equivalent unidirectional CNOT gate
  • Quantum code symptom extraction line design method based on equivalent unidirectional CNOT gate

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Embodiment Construction

[0034] The present invention will be further described in detail below in conjunction with the accompanying drawings and specific embodiments.

[0035] refer to figure 1 , the present invention comprises the following steps:

[0036] Step 1) Construct position serial number matrix:

[0037] For a CSS self-dual stable subcode parity check matrix P m×n For example, its rows represent stabilizers, columns represent qubits, its stabilizers are all composed of X operators or all of Z operators, and the CSS self-dual quantum error correction code contains an error correction code corresponding to parity check matrix P m×n The columns are numbered, and the P m×n The elements with a median value of "1" are replaced by the number of their columns to obtain the matrix P' m×n , where the maximum error-correcting capability of the error-correcting code is e qubits, and m and n represent P m×n The number of rows and columns, m≥4 and even, n≥15, and n>m, e4×15 for:

[0038]

[003...

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Abstract

The invention provides a quantum code symptom extraction line design method based on an equivalent unidirectional CNOT gate, which is used for solving the technical problem of high resource consumption in the prior art, and comprises the following steps of: constructing a position sequence number matrix, obtaining a stabilizer of a to-be-designed quantum code fault-tolerant symptom extraction line, constructing an equivalent unidirectional CNOT gate, determining a marking mode of the stabilizer in A, establishing a mark matrix F'm * k based on the equivalent unidirectional CNOT gate, establishing a to-be-detected matrix F''m * k, establishing a result matrix Fm * k of A, obtaining a current fault-tolerant symptom extraction line A, obtaining a fault-tolerant symptom extraction line B symmetrical to the current fault-tolerant symptom extraction line A, and forming a designed quantum code symptom extraction line by A and B together.

Description

technical field [0001] The invention belongs to the technical field of quantum information processing, and relates to a circuit design method for quantum error-correcting code symptom extraction, in particular to a circuit design method for quantum code symptom extraction based on an equivalent unidirectional CNOT gate, which can be used in quantum computers and quantum communications Symptom Extraction of Quantum Error Correcting Codes. Background technique [0002] Quantum computers are far superior to classical computers in terms of calculation speed, but due to the decoherence of quantum states, the practical progress of quantum computers is very slow. In order to overcome the decoherence of quantum states, quantum error correcting codes came into being. The error-correcting code block that protects quantum information will make errors under the action of noise. In order to prevent errors from deteriorating into uncorrectable errors during information processing and to ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H03M13/11
CPCH03M13/1148
Inventor 权东晓魏齐飞高鑫科朱畅华赵楠易运晖陈南裴昌幸
Owner XIDIAN UNIV
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