2015
DOI: 10.1103/physreva.92.012112
|View full text |Cite
|
Sign up to set email alerts
|

Statistical hypothesis testing by weak-value amplification: Proposal and evaluation

Abstract: We study the detection capability of the weak-value amplification on the basis of the statistical hypothesis testing. We propose a reasonable testing method in the physical and statistical senses to find that the weak measurement with the large weak value has the advantage to increase the detection power and to reduce the possibility of missing the presence of interaction. We enhance the physical understanding of the weak value and mathematically establish the significance of the weak-value amplification. Our … Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
2

Citation Types

1
21
1

Year Published

2015
2015
2022
2022

Publication Types

Select...
5

Relationship

1
4

Authors

Journals

citations
Cited by 9 publications
(23 citation statements)
references
References 48 publications
1
21
1
Order By: Relevance
“…For the testing problem to determine whether the crystal is birefringent or not, we take the following hypotheses: the null hypothesis H 0 , in which the crystal is not birefringent (i.e., λ H = λ V ), and the alternative hypothesis H 1 , in which the crystal is birefringent (i.e., λ H = λ V ). We note that by the interaction, the refraction occurs for both hypotheses, which somewhat differs from the previous work [17].…”
Section: Hypothesis Testing For Birefringencecontrasting
confidence: 99%
See 4 more Smart Citations
“…For the testing problem to determine whether the crystal is birefringent or not, we take the following hypotheses: the null hypothesis H 0 , in which the crystal is not birefringent (i.e., λ H = λ V ), and the alternative hypothesis H 1 , in which the crystal is birefringent (i.e., λ H = λ V ). We note that by the interaction, the refraction occurs for both hypotheses, which somewhat differs from the previous work [17].…”
Section: Hypothesis Testing For Birefringencecontrasting
confidence: 99%
“…These experimental results clearly show the physical intuition of the testing and the advantage of WVA by comparing the powers as presented in Ref. [17]. We conclude that the angle of the polarizers that give the weak value is the only factor in determining the case that the weak measurement is superior.…”
Section: Introductionsupporting
confidence: 80%
See 3 more Smart Citations