IEICE Technical Committee Submission System
Conference Paper's Information
Online Proceedings
[Sign in]
Tech. Rep. Archives
 Go Top Page Go Previous   [Japanese] / [English] 

Paper Abstract and Keywords
Presentation 2019-11-19 11:50
Fine-grained quantum supremacy based on Orthogonal Vectors, 3-SUM and All-Pairs Shortest Paths
Ryu Hayakawa, Tomoyuki Morimae (Kyoto Univ.), Suguru Tamaki (Hyogo Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) Fine-grained quantum supremacy is a study of excluding possibilities of superpolynomial time classical simulations of quantum computing. We show that under conjectures on Orthogonal Vectors (OV), 3-SUM, All–Pairs Shortest Paths (APSP) and their variants, strong and weak classical simulations of quantum computing are impossible in certain exponential times of the number of qubits. Those conjectures are widely used in classical fine–grained complexity theory in which polynomial time hardnesses are conjectured. All previous results of fine-grained quantum supremacy are based on ETH, SETH, or their variants that are conjectures for SAT in which exponential time hardnesses are conjectured. We show that there exist quantum circuits which cannot be classically simulated in certain exponential times of the number of qubits first by considering the Quantum Random Access Memory (QRAM) based quantum computing model and next by considering the non-QRAM model quantum computation. In the case of the QRAM model, the size of the circuits is linear in the number of qubits and in the case of the non-QRAM model, the size of the circuits is exponential in the number of qubits but the results are even non-trivial. We have omitted the proofs of theorems due to the space limitations.
Keyword (in Japanese) (See Japanese page) 
(in English) fine-grained complexity / quantum computing / quantum supremacy / / / / /  
Reference Info. IEICE Tech. Rep.
Paper #  
Date of Issue  
ISSN  
Download PDF

Conference Information
Committee QIT  
Conference Date 2019-11-18 - 2019-11-19 
Place (in Japanese) (See Japanese page) 
Place (in English) Gakushuin University 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Quantum Information 
Paper Information
Registration To QIT 
Conference Code 2019-11-QIT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Fine-grained quantum supremacy based on Orthogonal Vectors, 3-SUM and All-Pairs Shortest Paths 
Sub Title (in English)  
Keyword(1) fine-grained complexity  
Keyword(2) quantum computing  
Keyword(3) quantum supremacy  
Keyword(4)  
Keyword(5)  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Ryu Hayakawa  
1st Author's Affiliation Kyoto University (Kyoto Univ.)
2nd Author's Name Tomoyuki Morimae  
2nd Author's Affiliation Kyoto University (Kyoto Univ.)
3rd Author's Name Suguru Tamaki  
3rd Author's Affiliation University of Hyogo (Hyogo Univ.)
4th Author's Name  
4th Author's Affiliation ()
5th Author's Name  
5th Author's Affiliation ()
6th Author's Name  
6th Author's Affiliation ()
7th Author's Name  
7th Author's Affiliation ()
8th Author's Name  
8th Author's Affiliation ()
9th Author's Name  
9th Author's Affiliation ()
10th Author's Name  
10th Author's Affiliation ()
11th Author's Name  
11th Author's Affiliation ()
12th Author's Name  
12th Author's Affiliation ()
13th Author's Name  
13th Author's Affiliation ()
14th Author's Name  
14th Author's Affiliation ()
15th Author's Name  
15th Author's Affiliation ()
16th Author's Name  
16th Author's Affiliation ()
17th Author's Name  
17th Author's Affiliation ()
18th Author's Name  
18th Author's Affiliation ()
19th Author's Name  
19th Author's Affiliation ()
20th Author's Name  
20th Author's Affiliation ()
Speaker Author-1 
Date Time 2019-11-19 11:50:00 
Presentation Time 20 minutes 
Registration for QIT 
Paper #  
Volume (vol) vol. 
Number (no)  
Page  
#Pages  
Date of Issue  


[Return to Top Page]

[Return to IEICE Web Page]


The Institute of Electronics, Information and Communication Engineers (IEICE), Japan