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A method and device for compressing quantum information

A quantum information and compression method technology, applied in the field of coding, can solve problems such as long operation time, increased number of operations, multi-multiply-add operations, etc.

Active Publication Date: 2018-05-25
天元瑞信通信技术股份有限公司
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0005] The embodiment of the present invention provides a quantum information compression method and device, which is used to solve the problem of direct quantum compression of high-dimensional quantum information in the prior art, which requires more multiplication and addition operations, thereby increasing the number of calculations and resulting in calculation time longer question

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  • A method and device for compressing quantum information
  • A method and device for compressing quantum information
  • A method and device for compressing quantum information

Examples

Experimental program
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Effect test

Embodiment 1

[0100] Suppose the 10-dimensional quantum information is as follows: |φ>=|efghijklmn>, e, f, g, h, i, j, k, l, m, n=a, b.

[0101] According to a quantum information compression method provided by an embodiment of the present invention, 10-dimensional quantum information can be split into 4-dimensional |φ 4 >=|efgh>, e, f, g, h=a, b and 6 dimensions |φ 6 >=|ijklmn>, i, j, k, l, m, n=a, b two parts of quantum information.

[0102] According to formula (6), the information entropy of each qubit in 10-dimensional quantum information can be determined:

[0103] S(ρ)=-λ a logλ a -λ b logλ b =0.6008

[0104] According to the condition η≥S(ρ), for the part of 4-dimensional quantum information, since 4×S(ρ)=2.4032, since the smallest integer greater than 2.4 is 3, the compression for 4-dimensional quantum information can be compressed up to 3 qubits.

[0105] Similarly, for the part of 6-dimensional quantum information, 6×S(ρ)=3.6048, since the smallest integer greater than 3....

Embodiment 2

[0144] Suppose the 15-dimensional quantum information is as follows:

[0145]

[0146] According to a quantum information compression method provided by an embodiment of the present invention, 15-dimensional quantum information can be split into 8-dimensional and 6D And 1-dimensional three-part quantum information.

[0147]According to formula (6), the information entropy of each qubit in 10-dimensional quantum information can be determined:

[0148] S(ρ)=-λ a logλ a -λ b logλ b =0.6008

[0149] According to the condition η≥S(ρ), for the part of 8-dimensional quantum information, since 8×S(ρ)=4.8064, it can be seen that the smallest integer greater than 4.8 is 5, therefore, the compression of 8-dimensional quantum information can be compressed up to 5 qubits.

[0150] Similarly, for the part of 6-dimensional quantum information, since 6×S(ρ)=3.6048, it can be determined that the smallest integer greater than 3.6048 is 4. Therefore, the compression of 6-dimensional...

Embodiment 3

[0191] Suppose 20-dimensional quantum information is as follows:

[0192] |φ>=|cdefghijklmnopqrstuv>,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v=a, b.

[0193] According to a quantum information compression method provided by an embodiment of the present invention, 20-dimensional quantum information can be split into 10-dimensional and 10-dimensional |φ 10 >=|efghijklmn>, e, f, g, h, i, j, k, l, m, n=a, b two parts of quantum information.

[0194] According to the first embodiment, it can be determined that the computational complexity of compressing the 10-dimensional quantum information is [n+(n-1)]×n=(2n-1)n| n＝10 = 190, the fidelity is

[0195]

[0196] The method for compressing 10-dimensional quantum information has been described in detail in Embodiment 1, and will not be repeated here.

[0197] Therefore, the total number of multiplication and addition operations of 20-dimensional quantum information is 190+190=380. Compared with directly compressing the multipli...

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Abstract

The invention provides a quantum information compression method and device, and relates to the technical field of coding. The quantum information compression method and device are used for solving the problem of relatively long operation time caused by a relatively large number of algorithms existing in a high-dimension quantum information compression. The quantum information compression method comprises the steps of determining an information entropy of each quantum bit in the high-dimension quantum information; at least splitting the high-dimension quantum information into a first portion of quantum information and a second portion of quantum information; determining a first compression amount, a second compression amount and a total compression amount based on the information entropy of each quantum bit, the first portion of the quantum information and the second portion of the quantum information; based on a first overlapping degree of the first portion of the quantum information, dividing a superposition state combination in the first overlapping degree into first typical sub-space and first atypical sub-space and carrying out unitary transformation to obtain a state vector after the first compression; and based on a second overlapping degree of the second portion of the quantum information, dividing a superposition state combination in the second overlapping degree into second typical sub-space and second atypical sub-space and carrying out unitary transformation to obtain the state vector after the second compression.

Description

technical field [0001] The present invention relates to the field of encoding technology, and more specifically relates to a quantum information compression method and device. Background technique [0002] Quantum communication refers to a new type of communication method that uses quantum entanglement effect to transmit information, and has become one of the hot spots in current communication research. The medium of quantum communication is photon, and the preparation and storage conditions of single photon or entangled photon are harsh, and the storage problem of single photon spin wave has not been solved yet. [0003] Therefore, the effective and rational use of transmitted single photons is one of the major problems to be solved in quantum communication. Quantum compression technology is a technology that rationally utilizes the transmission of photons. The basic idea is to compress the quantum information containing a large number of qubits, express it with reduced qu...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04B10/70H04L1/00
CPCH04B10/70H04L1/0014H04L1/0076
Inventor 梁彦霞卢光跃杨武军聂敏孙长印姜静
Owner 天元瑞信通信技术股份有限公司