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Quantum
Computation
Rihab HOCEINI
Table of contents
01
04
02
05
03
06
What/Why
Quantum
computing
Quantum
second
revolution
Quantum Key
elements
Quantum power
Showcase
How to build
Quantum
Computer
Recent
research in
quantum tech
Quantum IBM
processor
Osprey 433 qubits
2022
What/Why
Quantum
computing
01
What is Quantum computing ?
Quantum computing is a new approach
to calculation that uses principles of
fundamental physics to solve extremely
complex problems very quickly.
The limit of present generation of
computers
“The number of transistors in a
dense integrated circuit doubles
about every two years.”
—MOORE'S LAW
Quantum
second
revolution
02
First quantum revolution
Max Planck
discovery of
Energy quanta
1900
Schrodinger, Born,
Heisenberg, Bohr
Quantum physics
1905
Einstein
Photoelectric effect
1905
Second quantum revolution
Feynman
concept of quantum
computer
1980-1982
Deutsch
Deutsch's Algorithm
1985
Shor
Quantum algorithm
1994
IBM
1386 qubits
quantum computer
2024
IBM
IBM quantum cloud
computing
2016
Quantum
Concepts
03
Quantum Bit : Qubit
classical binary bit
Qubit Vs Bit
Quantum Bit
Superposition gives quantum
computers superior computing power
Superposition
Superposition is condition in which a quantum
system can exist in multiple states because a
qubit is a quantum mechanical system, it can
exist in the “0” state, the “1” state, or any state
that is a linear combination of 0 and 1.
|ψ⟩ = α|0⟩ + β|1⟩
Entanglement
When two qubits are entangled there
exists a special connection between them.
The entanglement will become clear from
the results of measurements. The outcome
of the measurements on the individual
qubits could be 0 or 1.
Single-qubit gates
X Y Z
Pauli gates perform a rotation of 180 degrees
around the X, Y, and Z axes of the Bloch sphere
H T S
Rx Ry Rz
Block Sphere
Quantum
Power
Showcase
04
THE PROBLEM
the Secret (Number)
The Bernstein-Vazirani Algorithm
specializes in finding a secret
number.
(In our case, the number is going
to be some bitstring)
So say we put a secret number in
a box, say it’s 1001 (the number 9
in binary)
THE CLASSICAL APPROACH
the first guess is always going to be leading
zeros, followed by a 1 ' 0001' . Now the algorithm
use and AND comparison to see if there’s a 1 in
the same spot. We can see that they both have a
1 as the last bit, so this means that the algorithm
has found a 1 in that place. (Since AND(1,1) = 1)
This series of guesses is repeated for every bit in
the secret bitsring. So our next guesses is 0010,
then 0100, and so forth. Our algorithm just keeps
performing these AND operations to see if there
is a 1 in that place.
we will generate an Oracle(Uf) for function f(x)
where f(x) = x ·a, where x shall be the input
bits and a shall be the secret string. After
applying Oracle the result shall be |a⟩.
Let us consider a = 1001, which is a 9 bit
string. The expected output for
Bernstein-Vazirani problem shall be |1001⟩
The B̶e̶t̶t̶e̶r̶ Quantum Approach
How to build
Quantum
Computer
05
Trapped ions
Photonic qubit
Solid-State qubit
Superconducting qubit
Uses photons as qubits and optical
devices. Photons can be controlled
and manipulated by standard optical
devices
Uses electron spins and superconducting
circuits and interacts with standard RF
and microwave devices.
Uses trapped ions to implement quantum
states. Allows high-fidelity
implementations for fault-tolerant
quantum computing.
Uses Josephson junctions, interconnects,
passive elements, inductors, and
capacitors.
Technologies for quantum-state implementation
“…it seems that the laws of physics
present no barrier to reducing the
size of computers until bits are the
size of atoms, and quantum behavior
holds dominant sway.”
—R. P. Feynman, 1985
IBM Quantum
This IBM was the first to
make their quantum
processors available over the
internet over
the cloud
IBM Quantum : Services
the Services page to view a list of
quantum processors available
IBM Quantum : Composer
The Quantum Composer (Circuit
Composer) provides a drag-and
drop interface for programming
quantum circuits.
IBM Quantum : Lab
Jupyter notebook,
where Python code can be
executed and the results
displayed in an interactive
manner
Quantum Programming
IBM Quantum
Qiskit
Google Quantum AI
Cirq
Xanadu
Pennylane
Microsoft
Q#
Classiq
Classiq
Qutech
NetSquid
|ψ⟩ = α|0⟩ + β|1⟩
|0⟩ = 1
0
|1⟩ = 0
1
|ψ⟩ = α 1
0
+ β
0
1
=
α
β
⟨ψ| =
α* β*
α
β
α* β*
=
⸸
Z = a + ib
Z* = a -ib
Reminder
Dirac Notation
⟨ψ| ψ⟩ =
α
β
= |α| + |β| = 1
α* β*
₂ ₂
The Inner
product of | ψ⟩
with itself
Probability of
0 State
Probability of
1 State
⟨ψ| ψ⟩ = = ( ) + ( ) = 1
₂ ₂
√3
2
1
2
√3
2
1
2
√3
2
1
2
Normalization
⟨0| 1⟩ =
0
1
= 1x0 + 0x1 = 0
1 0
The Inner product
of the Z-basis
states |0⟩ and |1
Orthogonality
$15,3 billion
total investments for quantum technology
development announced by China
Quantum Computing
future promises
Recent research
Dr. Sultana is working on
quantum communications
satellites. This research
mission is an important
step toward a secure
global communications
satellite network.
FieldLine Medical -University of colorado -
developed the sensors for accurate Medical
imaging using quantum technology .
Quantum Promise
Young researcher in QTech
Used Qiskit Metal to create
design files for building
quantum devices on a chip
with 400 transmon qubits
Quantum technology in Algeria
Constantine Quantum Technologies
Collaborative research group
CQTech researchers won third
prize at the Quantum Chemistry
Challenge
S
Womanuim
● Quantum Hardware , sensing ,
software …
● Final Projects
● Certificates
● Fellowships
S
Qiskit GSS Quantum Explorers
● Quantum Theory
● Qiskit Training
● Qiskit Excellent badge
● Quantum Talks
● Qiskit labs
● Space exploration badges
● Annual Competition
June , July and August August - February
July / August
Quantum courses
Quantum courses
Quantum Algorithm
Qiskit
Quantum Information &
Computation
Qiskit
Quantum Mechanics &
Quantum
Computation -
Umesh Vazirani
Mathematics for
quantum mechanics
DTU
Competitions in quantum
Quantum-Thermo
dynamics Hub
MIT iQuHACK
QHack quantum explorers
winter fest
CREDITS: This presentation template was created by Slidesgo, including
icons by Flaticon, and infographics & images by Freepik
Quantum curious?
Thanks
Let's Keep the Quantum Conversation Going
rihabhc

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Quantum computing journey from origin to future Technologies

  • 2. Table of contents 01 04 02 05 03 06 What/Why Quantum computing Quantum second revolution Quantum Key elements Quantum power Showcase How to build Quantum Computer Recent research in quantum tech
  • 5. What is Quantum computing ? Quantum computing is a new approach to calculation that uses principles of fundamental physics to solve extremely complex problems very quickly.
  • 6. The limit of present generation of computers “The number of transistors in a dense integrated circuit doubles about every two years.” —MOORE'S LAW
  • 8. First quantum revolution Max Planck discovery of Energy quanta 1900 Schrodinger, Born, Heisenberg, Bohr Quantum physics 1905 Einstein Photoelectric effect 1905
  • 9. Second quantum revolution Feynman concept of quantum computer 1980-1982 Deutsch Deutsch's Algorithm 1985 Shor Quantum algorithm 1994 IBM 1386 qubits quantum computer 2024 IBM IBM quantum cloud computing 2016
  • 11. Quantum Bit : Qubit
  • 12. classical binary bit Qubit Vs Bit Quantum Bit
  • 13. Superposition gives quantum computers superior computing power Superposition Superposition is condition in which a quantum system can exist in multiple states because a qubit is a quantum mechanical system, it can exist in the “0” state, the “1” state, or any state that is a linear combination of 0 and 1. |ψ⟩ = α|0⟩ + β|1⟩
  • 14. Entanglement When two qubits are entangled there exists a special connection between them. The entanglement will become clear from the results of measurements. The outcome of the measurements on the individual qubits could be 0 or 1.
  • 15. Single-qubit gates X Y Z Pauli gates perform a rotation of 180 degrees around the X, Y, and Z axes of the Bloch sphere H T S Rx Ry Rz Block Sphere
  • 17. THE PROBLEM the Secret (Number) The Bernstein-Vazirani Algorithm specializes in finding a secret number. (In our case, the number is going to be some bitstring) So say we put a secret number in a box, say it’s 1001 (the number 9 in binary) THE CLASSICAL APPROACH the first guess is always going to be leading zeros, followed by a 1 ' 0001' . Now the algorithm use and AND comparison to see if there’s a 1 in the same spot. We can see that they both have a 1 as the last bit, so this means that the algorithm has found a 1 in that place. (Since AND(1,1) = 1) This series of guesses is repeated for every bit in the secret bitsring. So our next guesses is 0010, then 0100, and so forth. Our algorithm just keeps performing these AND operations to see if there is a 1 in that place.
  • 18. we will generate an Oracle(Uf) for function f(x) where f(x) = x ·a, where x shall be the input bits and a shall be the secret string. After applying Oracle the result shall be |a⟩. Let us consider a = 1001, which is a 9 bit string. The expected output for Bernstein-Vazirani problem shall be |1001⟩ The B̶e̶t̶t̶e̶r̶ Quantum Approach
  • 20. Trapped ions Photonic qubit Solid-State qubit Superconducting qubit Uses photons as qubits and optical devices. Photons can be controlled and manipulated by standard optical devices Uses electron spins and superconducting circuits and interacts with standard RF and microwave devices. Uses trapped ions to implement quantum states. Allows high-fidelity implementations for fault-tolerant quantum computing. Uses Josephson junctions, interconnects, passive elements, inductors, and capacitors. Technologies for quantum-state implementation
  • 21. “…it seems that the laws of physics present no barrier to reducing the size of computers until bits are the size of atoms, and quantum behavior holds dominant sway.” —R. P. Feynman, 1985
  • 22. IBM Quantum This IBM was the first to make their quantum processors available over the internet over the cloud
  • 23. IBM Quantum : Services the Services page to view a list of quantum processors available
  • 24. IBM Quantum : Composer The Quantum Composer (Circuit Composer) provides a drag-and drop interface for programming quantum circuits.
  • 25. IBM Quantum : Lab Jupyter notebook, where Python code can be executed and the results displayed in an interactive manner
  • 26. Quantum Programming IBM Quantum Qiskit Google Quantum AI Cirq Xanadu Pennylane Microsoft Q# Classiq Classiq Qutech NetSquid
  • 27. |ψ⟩ = α|0⟩ + β|1⟩ |0⟩ = 1 0 |1⟩ = 0 1 |ψ⟩ = α 1 0 + β 0 1 = α β ⟨ψ| = α* β* α β α* β* = ⸸ Z = a + ib Z* = a -ib Reminder Dirac Notation
  • 28. ⟨ψ| ψ⟩ = α β = |α| + |β| = 1 α* β* ₂ ₂ The Inner product of | ψ⟩ with itself Probability of 0 State Probability of 1 State ⟨ψ| ψ⟩ = = ( ) + ( ) = 1 ₂ ₂ √3 2 1 2 √3 2 1 2 √3 2 1 2 Normalization
  • 29. ⟨0| 1⟩ = 0 1 = 1x0 + 0x1 = 0 1 0 The Inner product of the Z-basis states |0⟩ and |1 Orthogonality
  • 30. $15,3 billion total investments for quantum technology development announced by China
  • 32. Recent research Dr. Sultana is working on quantum communications satellites. This research mission is an important step toward a secure global communications satellite network. FieldLine Medical -University of colorado - developed the sensors for accurate Medical imaging using quantum technology .
  • 34. Young researcher in QTech Used Qiskit Metal to create design files for building quantum devices on a chip with 400 transmon qubits
  • 35. Quantum technology in Algeria Constantine Quantum Technologies Collaborative research group CQTech researchers won third prize at the Quantum Chemistry Challenge
  • 36. S Womanuim ● Quantum Hardware , sensing , software … ● Final Projects ● Certificates ● Fellowships S Qiskit GSS Quantum Explorers ● Quantum Theory ● Qiskit Training ● Qiskit Excellent badge ● Quantum Talks ● Qiskit labs ● Space exploration badges ● Annual Competition June , July and August August - February July / August Quantum courses
  • 37. Quantum courses Quantum Algorithm Qiskit Quantum Information & Computation Qiskit Quantum Mechanics & Quantum Computation - Umesh Vazirani Mathematics for quantum mechanics DTU
  • 38. Competitions in quantum Quantum-Thermo dynamics Hub MIT iQuHACK QHack quantum explorers winter fest
  • 39. CREDITS: This presentation template was created by Slidesgo, including icons by Flaticon, and infographics & images by Freepik Quantum curious? Thanks Let's Keep the Quantum Conversation Going rihabhc