An entanglement detection method based on positive transformation and entanglement witness

A technology of unitary transformation and detection method, which is applied in the direction of calculation model, quantum computer, calculation, etc., and can solve problems such as difficulties

Pending Publication Date: 2019-03-12
ZHEJIANG GONGSHANG UNIVERSITY
View PDF2 Cites 0 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

At present, the problem of many-body quantum entanglement remains to be studied. For a given quantum state, it is still difficult to accurately distinguish its completely separa

Method used

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View more

Image

Smart Image Click on the blue labels to locate them in the text.
Viewing Examples
Smart Image
  • An entanglement detection method based on positive transformation and entanglement witness
  • An entanglement detection method based on positive transformation and entanglement witness
  • An entanglement detection method based on positive transformation and entanglement witness

Examples

Experimental program
Comparison scheme
Effect test

Embodiment

[0080] 1. Judging the entanglement and separability of a given "X" type three-qubit state where L takes the minimum value when φ=π

[0081] for The "X" type three-qubit state of , at this time when φ=π, L takes the minimum value, substitute get It is detected that a given "X" type three-qubit state satisfying the above conditions is entangled. For other "X" type three-qubit states, different entanglement and separability results can be obtained by substituting the above conditions.

[0082] 2. Summary

[0083] The problem of quantum entanglement detection is very important. The present invention provides a practical and operable method for the entanglement detection problem of the "X" type three-qubit state in the multi-component quantum state. The density matrix of the "X" type three-qubit state Do unitary transformation, reduce the eight anti-diagonal elements with imaginary parts to two, use angles and Greek letters to represent the relevant parameters, adjust the wi...

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to view more

PUM

No PUM Login to view more

Abstract

Quantum entanglement is one of the key problems in quantum information theory. Judging whether a given state is entangled or not and precisely delimiting the boundary between entanglement and separation become the primary problems in quantum information science. The entanglement criterion of two-body problem has been studied sufficiently. At present, the entanglement problem of multi-body quantifier still needs to be studied. Aiming at the problem of complete separability of 'X' type three qubit states, the present invention provides an entanglement detection method based on a positive transformation and an entanglement witness. Unlike the previous direct calculation methods for the density matrix of quantum states, At first, that density matrix of the 'X' type three quantum bit state is carry out 11 positive transformation to reduce eight antiangular elements with imaginary part to two, and then the analytical results of the entanglement and separability problems when phi = pi are given by the entanglement witness, and how to find phi when phi < pi, so that the value of phi satisfies the separability criterion of the invention.

Description

technical field [0001] The present invention proposes an entanglement detection method based on unitary transformation and entanglement witness, which performs unitary transformation on the density matrix of the "X" type three-qubit state, and uses the method of entanglement witness to construct a suitable measurement operator, which is accurate The part of quantum state entanglement is detected, and finally the analytical results of entanglement and separability when φ=π are obtained, and how to find φ when φ<π, so that the value of φ satisfies the separability criterion of the present invention. Background technique [0002] As an important physical resource, quantum entanglement plays an extremely important role in the field of quantum information processing. In quantum communication, quantum computing, and quantum teleportation [1], quantum entanglement is the key factor. Therefore, for quantum entanglement The research on entanglement, especially the detection of ent...

Claims

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to view more

Application Information

Patent Timeline
no application Login to view more
IPC IPC(8): G06N10/00
Inventor 何鹏蒋丽珍
Owner ZHEJIANG GONGSHANG UNIVERSITY
Who we serve
  • R&D Engineer
  • R&D Manager
  • IP Professional
Why Eureka
  • Industry Leading Data Capabilities
  • Powerful AI technology
  • Patent DNA Extraction
Social media
Try Eureka
PatSnap group products

Browse by: Latest US Patents, China's latest patents, Technical Efficacy Thesaurus, Application Domain, Technology Topic.

© 2024 PatSnap. All rights reserved.Legal|Privacy policy|Modern Slavery Act Transparency Statement|Sitemap