physics-quantum teleportation-seminar slide

1. QUANTUM
TELEPORTATION
Seminar by Jaismon Francis

2. Introduction
● Classically, teleportation is impossible
● Teleportation is possible in quantum
mechanics.
● In Quantum teleportation we
dematerialize an object and recreate it
somewhere else

3. In 1993 a group of six scientists
discovered that teleportation is possible
in quantum mechanics

5. Optical Ground Station (OGS), Tenerife,
pointing in the direction of La Palma,
where the quantum transmitter was
located. The green laser beam was used
as a beacon for the closed-loop optical
tracking system which kept the
transmitted and receiver telescopes
aligned to each other. This photo was
taken and digitally enhanced by Thomas
Herbst, University of Vienna.

6. OVERVIEW
● We construct entangled states of two spin one-half particles that has zero total
angular momentum.
● introduce Bell states, which are four entangled states that form a basis for the
state space of two spin one-half particles.
● We explain how quantum teleportation of a spin state works with the help of an
entangled pair.

7. Entangled States
Most general state in state space of 2 spin ½ particles can be represented
by
Can one write the state as = v∗ ⊗ w∗?
If no such v∗ and w∗ exist, we say that is an entangled state of the
two particles
Bob
Alice

8. This image shows crystals used for storing entangled photons, which
behave as though they are part of the same whole. Scientists used these
crystals in their process of teleporting the state of a photon across more
than 15 miles (25 kilometers) of optical fiber. Credit: Félix
Bussières/University of Geneva

9. Bell basis states
Bell states are a set of four entangled basis vectors in the state space of two spin one-half
particles.
Consider now the state
NORMALIZED
ORTHONORMAL

10. BELL BASIS

11. BELL BASIS RE WRITTEN

12. SIGMAS CAN BE REALIZED BY MACHINES
The action of the Pauli matrices on spin states can be realized as time evolution
via
some Hamiltonian.
We can check, for example, that any
Pauli matrix can be written as the exponential of i times a Hermitian matrix (which
would be proportional to the Hamiltonian
1 2 3
𝛔 machine

13. Quantum Teleportation
Entangled Particle
Source
C Space B Space
0 1 2 3
1 2 3
A B
𝞼 machine
C
jaismonfrancis

14. C
B
Combined Space of Three Particles is
C A
B
jaismonfrancis
A

19. It is noteworthy that all the mathematical work above led to the key
result
which is neatly summarized as the following identity valid for
arbitrary states

20. THANK YOU