Subgroup Identification for Tailored Therapies: Methods and Consistent Evaluation

Author(s):  
Lei Shen ◽  
Hollins Showalter ◽  
Chakib Battioui ◽  
Brian Denton
2014 ◽  
Vol 14 (5&6) ◽  
pp. 467-492
Author(s):  
Asif Shakeel

The Hidden Subgroup Problem (HSP) is at the forefront of problems in quantum algorithms. In this paper, we introduce a new query, the \textit{character} query, generalizing the well-known phase kickback trick that was first used successfully to efficiently solve Deutsch's problem. An equal superposition query with $\vert 0 \rangle$ in the response register is typically used in the ``standard method" of single-query algorithms for the HSP. The proposed character query improves over this query by maximizing the success probability of subgroup identification under a uniform prior, for the HSP in which the oracle functions take values in a finite abelian group. We apply our results to the case when the subgroups are drawn from a set of conjugate subgroups and obtain a success probability greater than that found by Moore and Russell.


Author(s):  
Pierre Bunouf ◽  
Mélanie Groc ◽  
Alex Dmitrienko ◽  
Ilya Lipkovich

2019 ◽  
Vol 38 (21) ◽  
pp. 3974-3984 ◽  
Author(s):  
Jon Arni Steingrimsson ◽  
Jiabei Yang

The Analyst ◽  
2017 ◽  
Vol 142 (9) ◽  
pp. 1471-1481 ◽  
Author(s):  
Patjaree Peungthum ◽  
Krisda Sudprasert ◽  
Ratthasart Amarit ◽  
Armote Somboonkaew ◽  
Boonsong Sutapun ◽  
...  

Fewer steps for ABO subgroup identification by using the SPR imaging incorporating an antibody array was presented.


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