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Paper Abstract and Keywords
Presentation 2020-12-10 17:10
Quantum Algorithm for Finding the Optimal Variable Ordering for Binary Decision Diagrams
Seiichiro Tani (NTT)
Abstract (in Japanese) (See Japanese page) 
(in English) An ordered binary decision diagram (OBDD) is a directed acyclic graph that represents a Boolean function.
Since OBDDs have many nice properties as data structures,
they have been extensively studied for decades in both theoretical and practical fields.
Arguably, the most crucial problem in using OBDDs is that
they may vary exponentially in size depending on their variable ordering (i.e.,
the order in which the variables are to read) when they represent the same function.
Indeed, it is NP hard to find an optimal variable ordering that minimizes an OBDD
for a given function.
Hence, numerous studies have sought heuristics to find an optimal variable ordering.
From practical as well as theoretical points of view,
it is also important to seek algorithms that output optimal solutions
with lower (exponential) time complexity
than trivial brute-force algorithms do.
This paper gives
a quantum algorithm
that produces a minimum OBDD together with the corresponding variable ordering.
Keyword (in Japanese) (See Japanese page) 
(in English) quantum algorithm / binary decision diagrams / variable ordering / OBDD / BDD / / /  
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Conference Information
Committee QIT  
Conference Date 2020-12-10 - 2020-12-11 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Quantum Information 
Paper Information
Registration To QIT 
Conference Code 2020-12-QIT 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Quantum Algorithm for Finding the Optimal Variable Ordering for Binary Decision Diagrams 
Sub Title (in English)  
Keyword(1) quantum algorithm  
Keyword(2) binary decision diagrams  
Keyword(3) variable ordering  
Keyword(4) OBDD  
Keyword(5) BDD  
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1st Author's Name Seiichiro Tani  
1st Author's Affiliation NTT Corporation (NTT)
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Speaker Author-1 
Date Time 2020-12-10 17:10:00 
Presentation Time 20 minutes 
Registration for QIT 
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