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Quantum error correction code flag bit symptom measurement method based on dynamic time slot distribution

A technology of dynamic time slot and time slot allocation, which is applied in the direction of using block code for error correction/detection, using linear code for error correction/detection, encoding, etc., which can solve the problem of long measurement time, low parallelism of measurement lines, and resource consumption Large and other problems, to achieve the effect of less measurement time, less resource consumption, and less auxiliary qubits

Active Publication Date: 2019-07-12
XIDIAN UNIV
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Problems solved by technology

However, this method still has the disadvantage that a large number of auxiliary qubits are needed to prepare the cat state when performing symptom measurement, and additional auxiliary bits need to be added to verify the correctness of the preparation of the cat state, and the resource consumption required for the measurement great
The disadvantage of this method is that each stabilizer needs to be measured in turn when performing symptom measurement, the required measurement time is relatively long, and the parallelism of the measurement line is low

Method used

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  • Quantum error correction code flag bit symptom measurement method based on dynamic time slot distribution
  • Quantum error correction code flag bit symptom measurement method based on dynamic time slot distribution
  • Quantum error correction code flag bit symptom measurement method based on dynamic time slot distribution

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Embodiment 1

[0066] Embodiment 1 of the present invention is to use the present invention to carry out symptom measurement to quantum [[7,1,3]] code Z-type stabilizer, obtain the sign position symptom of quantum [[7,1,3]] code Z-type stabilizer Measurement wiring diagram.

[0067] Step A. Construct a matrix of qubit numbers.

[0068] The binary generator matrix of the input quantum [[7,1,3]] code is as follows, each row in the matrix represents a stabilizer, and each column represents a qubit.

[0069]

[0070] All the rows of the binary generator matrix are arranged in descending order according to the size of each stable sub-weight by using the method of elementary row transformation of the matrix. The weight of the stabilizer refers to the number of 1s contained in the row corresponding to each stabilizer in the generator matrix. The weights of the quantum [[7,1,3]] code stabilizers are all equal to 4, and the arrangement order of the rows remains unchanged.

[0071]

[0072] C...

Embodiment 2

[0100] Embodiment 2 of the present invention is to use the present invention to carry out symptom measurement to quantum [[12,2,3]] code Z-type stabilizer, obtain the sign position symptom of quantum [[12,2,3]] code Z-type stabilizer Measurement wiring diagram.

[0101] Step a. Construct a matrix of qubit numbers.

[0102] The binary generator matrix of the input quantum [[12,2,3]] code is as follows, wherein each row in the matrix represents a stabilizer, and each column represents a qubit.

[0103]

[0104] Using the matrix elementary row transformation method, arrange all the rows of the binary generator matrix of the quantum [[12,2,3]] code in descending order according to the weight of each stabilizer. Among them, the weight of the stabilizer refers to the number of 1s contained in each row corresponding to each stabilizer in the generator matrix, and the weight values ​​of each row of the quantum [[12,2,3]] code are respectively 4, 4, 6, 4, 4, move the third row wit...

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Abstract

The invention discloses a quantum error correction code flag bit symptom measurement method based on dynamic time slot allocation, and mainly solves the problem of time slot resource allocation in quantum stabilizer symptom measurement. According to the invention, the quantum bits to be measured are sorted by constructing the quantum bit sequence number matrix; a dynamic time slot allocation method is used for allocating time slots, an error symptom matrix is constructed to analyze possible error symptoms during measurement, the time slot arrangement sequence is adjusted according to the errorsymptoms, and therefore a quantum error correction code flag bit measurement circuit diagram is deployed to measure the same type of stabilizers of the quantum CSS code at the same time. The quantumerror correction code flag bit symptom measurement line fault tolerance is guaranteed, the parallelism degree of the measurement line is improved, the time needed by symptom measurement is shortened,and the resource cost is optimized.

Description

technical field [0001] The invention belongs to the technical field of quantum information processing, and further relates to a quantum error-correcting code mark bit symptom measurement method based on dynamic time slot allocation in the technical field of quantum error-correcting codes. The invention can be applied to measure the error symptom of the quantum CSS stable subcode in the quantum error correction code, CSS is the abbreviation of Calderbank-Shor-Steane. Background technique [0002] Due to the coherence of quantum states, quantum computers have potentially great advantages over classical computers in solving certain problems with superpolynomial complexity. In order to perform reliable quantum calculations, quantum error-correcting codes are now used to overcome quantum errors. The decoherence effect caused by the interaction between the state and the environment. However, in the process of using quantum error-correcting codes to transmit quantum information, q...

Claims

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Application Information

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IPC IPC(8): H03M13/15
CPCH03M13/1525
Inventor 权东晓刘靓魏齐飞朱畅华赵楠易运晖何先灯陈南
Owner XIDIAN UNIV
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