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uantum usiness in apanese
market

Solve problem that human beings cannot solve
Introduction
Yuichiro Minato
CEO of MDR Inc.
Graduated from the university of Tokyo
Kengo Kuma & associates (Architecture)
2008- MDR Inc.
2017- Associate program manager on ImPACT project
MDR Overview
ompany ame nc.

ocation ongo2-40-14-3 , unkyo-ku, okyo, apan 

stablished 2008
uppliers ational abs, ational niv., omestic major companies
apital
 $2,030,000

usiness
 uantum omputer ullstack 

mployee
 14 (+5advisor)

Finance / (Marunouchi, Financial Center of Tokyo)
R&D / Business Division (Hongo, Near Univ. of Tokyo)
Full-stack development team from software to hardware
Engineering and theory mainly from Univ. of Tokyo and Finance team
Univ. of Tokyo dep. of Engineering
Project manager at Japanese cabinet
office quantum computing project
CEO
Yuichiro Minato Daisuke Saida
Application/Middleware Superconducting qubit
Goldman Sachs
Morgan Stanley
Columbia University
Univ of Tokyo dep. of Engineering
itsubishi ank

inance

huo niv.

Finance Finance Management
ManagerCFO
Yoichi Takebayashi Hitoya Nakamura
Executive
Shinji Ishihara
Toshiba
Univ. of Tokyo dep. of Engineering
(Ph.D)
Tokyo Institute of Technology
Toshiba
PwCC / IBM
Sony Global Solutions

Hardware on superconducting and Application
on both QA and Universal
https://quantumcomputingreport.com/
Flux Transmon
rinciple erification of the uperconducting lux ubit ell oward the uantum
ampling pproach for raining of eep eural etworks
Yamanashi lab, Yokohama National University
National Institute of Advanced Industrial Science and Technology
Clients
ank

nsurance

utomotive

eavy ndustry

rading

elecom areer

aterial company

inistries

niversities, ational abs ver 20 lients on 

Applications
・ uantum imulations

・ ombinatorial ptimization

・ uantum achine earning

Business Area
・ inance

・ utomotive

・ aterial and rug discovery

Around 2,000 of QC Developers community in
Japan
over 300-500 people in one event
2000 users offline
1200 users online on slack
over 100 events in a year
ython for quantum computing

https://github.com/ lueqat/ lueqat

from blueqat.opt import Opt
c = Opt().add([[1,1],[1,1]]).add("(q0+q1)^2")
#annealing
print(c.run())
[0, 0]
#D-Wave
print(c.dw())
[0, 0]
#qaoa
print(c.qaoa().most_common(5))
#=>(((0, 0), 0.7639901896866), ((1, 0), 0.10321404014639714), ((0, 1), 0.10321404014639707), ((1,
1), 0.029581730020605202))

from blueqat import vqe
from blueqat.pauli import qubo_bit as q
hamiltonian =
-3*q(0)-3*q(1)-3*q(2)-3*q(3)-3*q(4)+2*q(0)*q(1)+2*q(0)*q(2)+2*q(0)*q(3)+2*q(0)*q(4)+2
*q(1)*q(2)+2*q(1)*q(3)+2*q(1)*q(4)+2*q(2)*q(3)+2*q(2)*q(4)+2*q(3)*q(4)
step = 2
result = vqe.Vqe(vqe.QaoaAnsatz(hamiltonian, step)).run()
print(result.most_common(12))
---------------------
from blueqat.pauli import *
hamiltonian1 = (1.23 * Z[0] + 4.56 * X[1] * Z[2]) ** 2
hamiltonian2 = (2.46 * Y[0] + 5.55 * Z[1] * X[2] * X[1]) ** 2
hamiltonian = hamiltonian1 + hamiltonian2
print(hamiltonian)
Ising model tutorial for
beginners on ipython
MUFG Bank, Ltd. and MDR made a contract
on research on quantum computer
・ ortfolio ptimization

・ isk management

・ onte arlo imulations

・ rypto ecurity

or anking ompany

outing optimization and s

or utomotive ompany

othing new we are always solving very standard problems.

uantum hemistry( niversal)

irst rinciple alculation on chemistry.


 from blueqat import *
from openfermion import *
from openfermionblueqat import*
import numpy as np
x = [];e=[];fullci=[]
for bond_len in np.arange(0.2,2.5,0.1):
m = get_molecule("{:.2}".format(bond_len))
h =
bravyi_kitaev(get_fermion_operator(m.get_molecular_ham
iltonian()))
runner = vqe.Vqe(UCCAnsatz(h,6,Circuit().x[0]))
result = runner.run()
x.append(bond_len)
e.append(runner.ansatz.get_energy(result.circuit,runne
r.sampler))
fullci.append(m.fci_energy)
%matplotlib inline
import matplotlib.pyplot as plt
plt.plot(x,fullci)
plt.plot(x,e,"o")
Quantum Classical
Quantum Circuit
Quantum Circuit
Quantum Circuit
opt
params
ariational ethod

or aterial ompany

aming

[[x o x]
[o x o]
[o x o]]

 

a =
Opt().add("10*(q0+q1+q2+q3+q4+q5+
q6+q7+q8-4)^2-(q0+q1+q2)^2-(q3+q4
+q5)^2-(q6+q7+q8)^2-(q0+q3+q6)^2-
(q1+q4+q7)^2-(q2+q5+q8)^2",N=9).a
dd(np.diag([-100,0,0,100,-100,0,1
00,-100,100])).run()
print(np.reshape(a,(3,3)))


a = opt.opt()
a.qubo
=opt.optm("(1-(q0+q1+q2+q3+q4+q5))^2+(1-(q6+q7+q8+q9+q10+q11+q12+q1
3+q14+q15+q16+q17+q18+q19+q20+q21))^2
+(1-(q22+q23+q24+q25+q26+q27+q28+q29+q30+q31+q32+q33+q34+q35+q36+q3
7))^2+(1-(q0+q3+q6+q14+q16+q22+q30+q32))^2+(1-(q1+q3+q7+q8+q14+q15+
q16+q17+q23+q24+q30+q31+q32+q33))^2+(1-(q2+q3+q9+q15+q17+q25+q31+q3
3))^2+(1-(q0+q4+q6+q8+q10+q16+q18+q20+q22+q24+q26+q32+q34+q36))^2+(
1-(q1+q4+q6+q7+q8+q9+q11+q12+q14+q17+q18+q19+q20+q21+q22+q23+q24+q2
5+q27+q28+q30+q33+q34+q35+q36+q37))^2+(1-(q2+q4+q7+q9+q13+q15+q19+q
21+q23+q25+q29+q31+q35+q37))^2+(1-(q0+q5+q10+q12+q20+q26+q28+q36))^
2+(1-(q1+q5+q10+q11+q12+q13+q18+q21+q26+q27+q28+q29+q34+q37))^2+(1-
(q2+q5+q11+q13+q19+q27+q29+q35))^2",38)
res = a.sa()
print(res)
print(np.where(np.array(res)==1)[0])
Finding Hadamard
Matrices
by a Quantum Annealing Machine
Andriyan B. Suksmono,
School of Electrical Eng. and Informatics, ITB, Bandung, Indonesia
Yuichiro Minato
MDR Inc., Tokyo, Japan
20
1. Introduction
• Hadamard matrix (H-matrix)
• Definition: an orthogonal binary {-1,1} matrix
• Applications: orthogonal codes used in CDMA, ECC
(Error Correction Code) with maximal error correction
capability, employed in Mariner-9
• Scientific/Math: H-matrix conjecture is a ~100 years old
unsolved problem
• Why finding a H-matrix is hard?
• For an M-order matrix, there are
[2^(M2
)] ~ exp (M2
) binary matrices
• H-matrix conjecture predicts, there is a H-matrix for
every M=4k, k positive integer. How to find it?
• Brute force, worst-case condition: one should check all binary
matrices, an O[exp(M2
)] problem --> a hard problem.
• Proposed Solution: USE A QUANTUM COMPUTER ! Mariner-9 employed Hadamard’s ECC
to protect Mars’s images sent to Earth
CDMA Communication System
employs
Walsh-Hadamard Orthogonal Code
21
2. Methods: (a) Use symbolic computing
to formulate many-terms 2-body
Hamiltonian
PROBLEM
Find H ≅ min E{si
}
s-domain k-body
Energy function
Ek
(si)
Hamiltonian
Formulation
H2
({σ i
z
})
q-domain k-body
Energy function
Ek
(qi)
q-domain 2-body
Energy function
E2
(qi)
s-domain 2-body
Energy function
E2
(si)
Alg.
1
Alg.
2
Alg.
3
Alg.
4
22
3. Simulations: (a) Finding H-matrices
• Finding 2-order H-matrix:
• NSWEEP=1000, Results: Energy and Configurations
Solutions
solu
tion Minimum Energy:
E = -16.00
• Finding 4-order H-matrix:
H-matrix
is found !
E=[-16.00 , -15.62, -15.62, -15.71, -15.71
-15.71, -15.71, -15.71, -16.00, -15.62 ]T
Simulate using neal
Extract
Ising Coeffs.
23
4. DW2000Q:(a) Finding H-matrices
• Finding 4-order H-matrix• Finding 2-order H-matrix
Minimum energy
E= -322.91
default annealing Schedule
Minimum energy
E = -13.52
manual qubits
assignments in Chimera
embedding using SAPI
NREADS=100
0
24
Conclusions and Further Directions
1. Finding H-matrices (H-SEARCH) is a hard problem which potentially can
be solved by a quantum computer.
2. Construction of the Hamiltonians of H-SEARCH and its related problems
needs manipulation of equation with large number of terms. We have
managed this problem by symbolic computing.
3. We have implement H-SEARCH in a quantum annealer DW2000Q.
Although only up to 4-order H-matrix, future generation of quantum
annealers capable to implement higher orders due to increasing
number of qubits and connectivity beyond Chimera.
4. In the forthcoming research, we will address the issue of
scaling/speed-up and implementation of H-SEARCH in quantum gate
model.
25
About Business
apanese omestic market

uite familiar to the quantum computer that almost all of the famous company is now
started to working on quantum computing project inside the company.

・ nnealing achine -> - ave, ujitsu, itachi, , etc…

・ niversal ate achine -> , icrosoft, oogle cirq, igetti, etc…



lot of choice for users at the moment for .

hinking as a o project

ost of companies thinking a quantum computing project as o ( roof of oncept)
project.

he point is if is faster than the classical computer.

f the cost is lower than the classical computer.

f the can solve the classical one cannot solve.

emand on is not strong

ome of the company has long-term vision for the projects but this is mostly
because the responsible person in the company is from physics or machine learning.
here are a lot of physics person in apan.

actually demand on “optimization problem” is very strong because obotic rocess
utomation is a trend now in apan.

ost & term for 

or our business clients pay around $1,000 - $20,000 for one project.

inimum 3month, the longest project is around 3 years to 5 years.

o do as a business we need a eco system and make the situation that get much
more result than the classical computer.



>> till unclear on business but keep working on o 

apanese culture

apanese language is almost necessary in apanese market for documents and
tutorials.

eginners never read english document.

equired apanese support.

QC on everyday life
ptimization of taste

ombination of discrete algorithm without cost function & ising model, we optimizing
taste and preference of human behavior. 

onclusion

・ o is now a trend

・ he future vision is unclear

・ apanese people require apanese language support

・ eople recently not expect on the good result



・ here are many choice in apan for qc platforms

・ ombinatorial optimization problem is widely accepted



・ umber of startup is around 5 to 7 ( ost of them are nnealing).



hank you for listening

Solve problem that human beings cannot solve

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Quantum Business in Japanese Market

  • 1. uantum usiness in apanese market
 Solve problem that human beings cannot solve
  • 2. Introduction Yuichiro Minato CEO of MDR Inc. Graduated from the university of Tokyo Kengo Kuma & associates (Architecture) 2008- MDR Inc. 2017- Associate program manager on ImPACT project
  • 3. MDR Overview ompany ame nc.
 ocation ongo2-40-14-3 , unkyo-ku, okyo, apan 
 stablished 2008 uppliers ational abs, ational niv., omestic major companies apital
 $2,030,000
 usiness
 uantum omputer ullstack 
 mployee
 14 (+5advisor)
 Finance / (Marunouchi, Financial Center of Tokyo) R&D / Business Division (Hongo, Near Univ. of Tokyo)
  • 4. Full-stack development team from software to hardware Engineering and theory mainly from Univ. of Tokyo and Finance team Univ. of Tokyo dep. of Engineering Project manager at Japanese cabinet office quantum computing project CEO Yuichiro Minato Daisuke Saida Application/Middleware Superconducting qubit Goldman Sachs Morgan Stanley Columbia University Univ of Tokyo dep. of Engineering itsubishi ank
 inance
 huo niv.
 Finance Finance Management ManagerCFO Yoichi Takebayashi Hitoya Nakamura Executive Shinji Ishihara Toshiba Univ. of Tokyo dep. of Engineering (Ph.D) Tokyo Institute of Technology Toshiba PwCC / IBM Sony Global Solutions

  • 5. Hardware on superconducting and Application on both QA and Universal https://quantumcomputingreport.com/ Flux Transmon
  • 6. rinciple erification of the uperconducting lux ubit ell oward the uantum ampling pproach for raining of eep eural etworks Yamanashi lab, Yokohama National University National Institute of Advanced Industrial Science and Technology
  • 7. Clients ank
 nsurance
 utomotive
 eavy ndustry
 rading
 elecom areer
 aterial company
 inistries
 niversities, ational abs ver 20 lients on 

  • 8. Applications ・ uantum imulations
 ・ ombinatorial ptimization
 ・ uantum achine earning

  • 9. Business Area ・ inance
 ・ utomotive
 ・ aterial and rug discovery

  • 10. Around 2,000 of QC Developers community in Japan over 300-500 people in one event 2000 users offline 1200 users online on slack over 100 events in a year
  • 11. ython for quantum computing
 https://github.com/ lueqat/ lueqat
 from blueqat.opt import Opt c = Opt().add([[1,1],[1,1]]).add("(q0+q1)^2") #annealing print(c.run()) [0, 0] #D-Wave print(c.dw()) [0, 0] #qaoa print(c.qaoa().most_common(5)) #=>(((0, 0), 0.7639901896866), ((1, 0), 0.10321404014639714), ((0, 1), 0.10321404014639707), ((1, 1), 0.029581730020605202))

  • 12. from blueqat import vqe from blueqat.pauli import qubo_bit as q hamiltonian = -3*q(0)-3*q(1)-3*q(2)-3*q(3)-3*q(4)+2*q(0)*q(1)+2*q(0)*q(2)+2*q(0)*q(3)+2*q(0)*q(4)+2 *q(1)*q(2)+2*q(1)*q(3)+2*q(1)*q(4)+2*q(2)*q(3)+2*q(2)*q(4)+2*q(3)*q(4) step = 2 result = vqe.Vqe(vqe.QaoaAnsatz(hamiltonian, step)).run() print(result.most_common(12)) --------------------- from blueqat.pauli import * hamiltonian1 = (1.23 * Z[0] + 4.56 * X[1] * Z[2]) ** 2 hamiltonian2 = (2.46 * Y[0] + 5.55 * Z[1] * X[2] * X[1]) ** 2 hamiltonian = hamiltonian1 + hamiltonian2 print(hamiltonian)
  • 13. Ising model tutorial for beginners on ipython
  • 14. MUFG Bank, Ltd. and MDR made a contract on research on quantum computer ・ ortfolio ptimization
 ・ isk management
 ・ onte arlo imulations
 ・ rypto ecurity
 or anking ompany

  • 15. outing optimization and s
 or utomotive ompany
 othing new we are always solving very standard problems.

  • 16. uantum hemistry( niversal)
 irst rinciple alculation on chemistry.
 
 from blueqat import * from openfermion import * from openfermionblueqat import* import numpy as np x = [];e=[];fullci=[] for bond_len in np.arange(0.2,2.5,0.1): m = get_molecule("{:.2}".format(bond_len)) h = bravyi_kitaev(get_fermion_operator(m.get_molecular_ham iltonian())) runner = vqe.Vqe(UCCAnsatz(h,6,Circuit().x[0])) result = runner.run() x.append(bond_len) e.append(runner.ansatz.get_energy(result.circuit,runne r.sampler)) fullci.append(m.fci_energy) %matplotlib inline import matplotlib.pyplot as plt plt.plot(x,fullci) plt.plot(x,e,"o") Quantum Classical Quantum Circuit Quantum Circuit Quantum Circuit opt params ariational ethod
 or aterial ompany

  • 17. aming
 [[x o x] [o x o] [o x o]] 
 
 a = Opt().add("10*(q0+q1+q2+q3+q4+q5+ q6+q7+q8-4)^2-(q0+q1+q2)^2-(q3+q4 +q5)^2-(q6+q7+q8)^2-(q0+q3+q6)^2- (q1+q4+q7)^2-(q2+q5+q8)^2",N=9).a dd(np.diag([-100,0,0,100,-100,0,1 00,-100,100])).run() print(np.reshape(a,(3,3))) 
 a = opt.opt() a.qubo =opt.optm("(1-(q0+q1+q2+q3+q4+q5))^2+(1-(q6+q7+q8+q9+q10+q11+q12+q1 3+q14+q15+q16+q17+q18+q19+q20+q21))^2 +(1-(q22+q23+q24+q25+q26+q27+q28+q29+q30+q31+q32+q33+q34+q35+q36+q3 7))^2+(1-(q0+q3+q6+q14+q16+q22+q30+q32))^2+(1-(q1+q3+q7+q8+q14+q15+ q16+q17+q23+q24+q30+q31+q32+q33))^2+(1-(q2+q3+q9+q15+q17+q25+q31+q3 3))^2+(1-(q0+q4+q6+q8+q10+q16+q18+q20+q22+q24+q26+q32+q34+q36))^2+( 1-(q1+q4+q6+q7+q8+q9+q11+q12+q14+q17+q18+q19+q20+q21+q22+q23+q24+q2 5+q27+q28+q30+q33+q34+q35+q36+q37))^2+(1-(q2+q4+q7+q9+q13+q15+q19+q 21+q23+q25+q29+q31+q35+q37))^2+(1-(q0+q5+q10+q12+q20+q26+q28+q36))^ 2+(1-(q1+q5+q10+q11+q12+q13+q18+q21+q26+q27+q28+q29+q34+q37))^2+(1- (q2+q5+q11+q13+q19+q27+q29+q35))^2",38) res = a.sa() print(res) print(np.where(np.array(res)==1)[0])
  • 18. Finding Hadamard Matrices by a Quantum Annealing Machine Andriyan B. Suksmono, School of Electrical Eng. and Informatics, ITB, Bandung, Indonesia Yuichiro Minato MDR Inc., Tokyo, Japan 20
  • 19. 1. Introduction • Hadamard matrix (H-matrix) • Definition: an orthogonal binary {-1,1} matrix • Applications: orthogonal codes used in CDMA, ECC (Error Correction Code) with maximal error correction capability, employed in Mariner-9 • Scientific/Math: H-matrix conjecture is a ~100 years old unsolved problem • Why finding a H-matrix is hard? • For an M-order matrix, there are [2^(M2 )] ~ exp (M2 ) binary matrices • H-matrix conjecture predicts, there is a H-matrix for every M=4k, k positive integer. How to find it? • Brute force, worst-case condition: one should check all binary matrices, an O[exp(M2 )] problem --> a hard problem. • Proposed Solution: USE A QUANTUM COMPUTER ! Mariner-9 employed Hadamard’s ECC to protect Mars’s images sent to Earth CDMA Communication System employs Walsh-Hadamard Orthogonal Code 21
  • 20. 2. Methods: (a) Use symbolic computing to formulate many-terms 2-body Hamiltonian PROBLEM Find H ≅ min E{si } s-domain k-body Energy function Ek (si) Hamiltonian Formulation H2 ({σ i z }) q-domain k-body Energy function Ek (qi) q-domain 2-body Energy function E2 (qi) s-domain 2-body Energy function E2 (si) Alg. 1 Alg. 2 Alg. 3 Alg. 4 22
  • 21. 3. Simulations: (a) Finding H-matrices • Finding 2-order H-matrix: • NSWEEP=1000, Results: Energy and Configurations Solutions solu tion Minimum Energy: E = -16.00 • Finding 4-order H-matrix: H-matrix is found ! E=[-16.00 , -15.62, -15.62, -15.71, -15.71 -15.71, -15.71, -15.71, -16.00, -15.62 ]T Simulate using neal Extract Ising Coeffs. 23
  • 22. 4. DW2000Q:(a) Finding H-matrices • Finding 4-order H-matrix• Finding 2-order H-matrix Minimum energy E= -322.91 default annealing Schedule Minimum energy E = -13.52 manual qubits assignments in Chimera embedding using SAPI NREADS=100 0 24
  • 23. Conclusions and Further Directions 1. Finding H-matrices (H-SEARCH) is a hard problem which potentially can be solved by a quantum computer. 2. Construction of the Hamiltonians of H-SEARCH and its related problems needs manipulation of equation with large number of terms. We have managed this problem by symbolic computing. 3. We have implement H-SEARCH in a quantum annealer DW2000Q. Although only up to 4-order H-matrix, future generation of quantum annealers capable to implement higher orders due to increasing number of qubits and connectivity beyond Chimera. 4. In the forthcoming research, we will address the issue of scaling/speed-up and implementation of H-SEARCH in quantum gate model. 25
  • 25. apanese omestic market
 uite familiar to the quantum computer that almost all of the famous company is now started to working on quantum computing project inside the company.
 ・ nnealing achine -> - ave, ujitsu, itachi, , etc…
 ・ niversal ate achine -> , icrosoft, oogle cirq, igetti, etc…
 
 lot of choice for users at the moment for .

  • 26. hinking as a o project
 ost of companies thinking a quantum computing project as o ( roof of oncept) project.
 he point is if is faster than the classical computer.
 f the cost is lower than the classical computer.
 f the can solve the classical one cannot solve.

  • 27. emand on is not strong
 ome of the company has long-term vision for the projects but this is mostly because the responsible person in the company is from physics or machine learning. here are a lot of physics person in apan.
 actually demand on “optimization problem” is very strong because obotic rocess utomation is a trend now in apan.

  • 28. ost & term for 
 or our business clients pay around $1,000 - $20,000 for one project.
 inimum 3month, the longest project is around 3 years to 5 years.
 o do as a business we need a eco system and make the situation that get much more result than the classical computer.
 
 >> till unclear on business but keep working on o 

  • 29. apanese culture
 apanese language is almost necessary in apanese market for documents and tutorials.
 eginners never read english document.
 equired apanese support.

  • 31. ptimization of taste
 ombination of discrete algorithm without cost function & ising model, we optimizing taste and preference of human behavior. 

  • 32. onclusion
 ・ o is now a trend
 ・ he future vision is unclear
 ・ apanese people require apanese language support
 ・ eople recently not expect on the good result
 
 ・ here are many choice in apan for qc platforms
 ・ ombinatorial optimization problem is widely accepted
 
 ・ umber of startup is around 5 to 7 ( ost of them are nnealing).
 
 hank you for listening

  • 33. Solve problem that human beings cannot solve