利用不確定關(guān)系中與狀態(tài)無關(guān)的界做糾纏探測
發(fā)布時(shí)間:2024-05-19 17:56
量子糾纏和不確定關(guān)系作為量子力學(xué)里的兩大基本性質(zhì),從量子力學(xué)發(fā)展最初,一直被科學(xué)家們廣泛地研究和討論。糾纏這個(gè)概念最開始是被薛定諤提出用來反駁著名的EPR悖論。EPR悖論是由Einstein,Podolsky和Rosen提出,探討量子局域性和量子力學(xué)的完備性之間的矛盾。薛定諤不接受量子力學(xué)是不完備的這一定論,為了解決EPR悖論,他引入’糾纏’這一概念,來解釋現(xiàn)象:經(jīng)典上互不關(guān)聯(lián)的兩個(gè)系統(tǒng),Alice和Bob,在某種情況下,如果我對Alice做測量,也會影響B(tài)ob的狀態(tài),同樣地,如果我對Bob做操作會影響Alice的狀態(tài)。薛定諤還引入另外一個(gè)概念,EPR-Steering。比如,如果我對Alice做操作,系統(tǒng)Bob會受影響的話,我們就說Alice指導(dǎo)Bob。到了1964年,Bell從實(shí)驗(yàn)上證明了糾纏這一概念后,研究量子糾纏的科學(xué)家與日俱增。對于一個(gè)兩體系統(tǒng),人們在理論上定義了量子糾纏態(tài)和可分態(tài)。如果我對一個(gè)系統(tǒng)其中的任何一個(gè)子系統(tǒng)做操作,都不會對第二個(gè)系統(tǒng)產(chǎn)生影響的話,我們就說這個(gè)態(tài)是可分態(tài)。除此之外的,其它態(tài),都定義為糾纏態(tài)。根據(jù)這個(gè)定義,人們發(fā)展了一系列從理論上和實(shí)驗(yàn)上來驗(yàn)證一個(gè)量子...
【文章頁數(shù)】:71 頁
【學(xué)位級別】:碩士
【文章目錄】:
摘要
ABSTRACT
Chapter1 Introduction
1.1 The background and significance
1.2 Literature review and analysis for the entanglement
1.2.1 Background
1.2.2 Research achievements
1.2.3 Analysis of literature review
1.3 The development for uncertainty relations
1.3.1 Background
1.3.2 Research achievements
1.4 Main research contents of research
Chapter2 State-independent bound for uncertainty relation
2.1 Background
2.2 The state-independent bound for uncertainty relation
2.3 Comparison with the entropic uncertainty relation
2.4 Conclusion
Chapter3 Entanglement Detection
3.1 Background
3.2 Construction for entanglement detection
3.3 Entanglement detection
3.4 Conclusion
Chapter4 EPR steering
4.1 Background
4.2 Construction for EPR steering criteria
4.3 Result
4.4 Conclusion
Conclusion
References
Acknowledgements
本文編號:3978251
【文章頁數(shù)】:71 頁
【學(xué)位級別】:碩士
【文章目錄】:
摘要
ABSTRACT
Chapter1 Introduction
1.1 The background and significance
1.2 Literature review and analysis for the entanglement
1.2.1 Background
1.2.2 Research achievements
1.2.3 Analysis of literature review
1.3 The development for uncertainty relations
1.3.1 Background
1.3.2 Research achievements
1.4 Main research contents of research
Chapter2 State-independent bound for uncertainty relation
2.1 Background
2.2 The state-independent bound for uncertainty relation
2.3 Comparison with the entropic uncertainty relation
2.4 Conclusion
Chapter3 Entanglement Detection
3.1 Background
3.2 Construction for entanglement detection
3.3 Entanglement detection
3.4 Conclusion
Chapter4 EPR steering
4.1 Background
4.2 Construction for EPR steering criteria
4.3 Result
4.4 Conclusion
Conclusion
References
Acknowledgements
本文編號:3978251
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