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QUANTUM COMPUTING
HISTORY
Peter Shor Richard Feynman
USING SHOR’S
ALGORITHM
MISSION IMPOSSIBLE
THE DIFFERENCE
 Transistors
 Bits – two definite
states
 Deterministic
 Quantum mechanical
phenomena –
superposition,
entanglement etc.,
 Qubits –
Superposition of
states
 Non deterministic and
probabilistic
Digital System Quantum System
QUBITS
Two state Quantum
mechanical system
Superposition of
states
Intrinsic randomness
QUBIT REPRESENTATION
 “Bra-ket” - |0> &|1>
or “Ket 0” & “Ket 1”
 ψ = 𝛼 0 + 𝛽|1|
 |𝛼|2 + |𝛽| 2
= 1
Bloch Sphere
The probability
amplitudes are given
by 𝛼 = cos
𝜃
2
and 𝛽 =
𝑒 𝑖𝜑 sin
𝜃
2
.
Q
UB
IT
RE
PR
ES
EN
TA
TI
O
N
Physical
support
Name
Information
support
|0> |1>
Photon
Polarization
encoding
Polarization of
light
Horizontal Vertical
Number of photons Fock state Vacuum Single photon state
Time-bin encoding Time of arrival Early Late
Coherent
state of light
Squeezed light Quadrature Amplitude-squeezed state Phase-squeezed state
Electrons
Electronic spin Spin Up Down
Electron number Charge No electron One electron
Nucleus
Nuclear spin
addressed through
NMR
Spin Up Down
Optical
lattices
Atomic spin Spin Up Down
Josephson
junction
Superconducting
charge qubit
Charge
Uncharged superconducting
island (Q=0)
Charged superconducting island
(Q=2e, one extra Cooper pair)
Superconducting
flux qubit
Current Clockwise current Counterclockwise current
Superconducting
phase qubit
Energy Ground state First excited state
Singly
charged
quantum dot
pair
Electron
localization
Charge Electron on left dot Electron on right dot
Quantum dot Dot spin Spin Down Up
SUPERPOSITION
QUANTUM ENTANGLEMENT
 Random(meaningless as a part) – not independent
 Meaningful as a whole
 Does not obey “local realist”
DECOHERENCE
 Disentangle when measured
 Quantum errors -
∞ Exposure to surroundings
 Settle down to an appropriate result under given
conditions.
QUANTUM LOGIC GATES
 Commonly used gates
 Hadamard gate
 Pauli-X gate
 Pauli-Y gate
 Pauli-Z gate
 Phase shift gates
 Swap gate
 Controlled gates
QUANTUM
COMPUTERS
BIBLIOGRAPHY
 Wikipedia.org
 Youtube.com
THANK U
Suraj Donthi

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Quantum computing