Technology of the Future is Here!
DEFINITION STEPS INVOLVED CLASSICAL TELEPORTATION HEISENBERG UNCERTANITY
PRINCIPLE QUANTUM TELEPORTATION ENTANGLEMENT RECENT DEVELOPMENT FUTURE PROSPECTS
Teleportation
involves dematerializing an object at one point, and sending the details of that object's precise atomic configuration to another location, where it will be reconstructed.
What
this means is that time and space could be eliminated from travel -- we could be transported to any location instantly, without
Step
1= Making an exact copy of the material make up of the object being transported. Step 2= Transporting this copy to a different location. Step 3= Destroying of the original object.
Teleportation what’s the problem?
Problem: Matter cannot be reversibly converted into light!
Question: If matter not teleported, then what is being transmitted?
Answer: information - is what should be transmitted
Classical
teleportation taking fax machine as example
The more precisely the position is determined, the less precisely the momentum is known in this instan and vice versa. --Heisenberg 1927
Blegdamsvej 17, Copenhagen
Heisenberg in 1927. Minimal symmetric Uncertainty:
1 Var ( x ) = ∂x = ∂p = 2 2
2
Bohr’s complementarity principle Perfect measurement of both position and momentum is impossible
∂x × ∂p ≥
1 2
Noncommuting operators:
ˆ,P ˆ] = [X i
One
scan out part of information from object A (the original).
Two
objects B&C are prepared and brought in contact (i.e., entangled) and then separated.
At
the sending station the object B is scanned with the original object A.
While
causing the remaining, unscanned,part of the information in A to pass, via EPR entanglement, into another object C.
This
scanned information is sent to the receiving station.
Object
state.
A itself not in its original
The only thing teleported is the photon’s polarization state or more generally, its quantum state, not the photon “itself.”
Entangle photon A with photon X, photon X loses all memory, its original state. As a member of an entangled pair, it has no individual polarization
PHOTON TELEPORTATION
In
Quantum Mechanics, it sometimes occurs that a measurement of one particle will effect the state of another particle, even though classically there is no direct interaction
When
this happens, the state two of the particles is said to be entangled.
Yˆ1 , Qˆ1
Yˆ2 , Qˆ 2
YˆV , QˆV C X CP
C X CP Yˆ , Qˆ V
V
[Y , Q] = i, [Y 1 − Y 2, Q1 + Q 2] = 0(Teleportation principle) Einstein-Podolsky-Rosen entangled state
Y1 − Y2 = 0,
Q1 + Q2 = 0
Quantum
Entanglement’s role in teleporting
In
1998, physicists at the California Institute of Technology (Caltech), along with two European groups, turned the IBM ideas into reality by successfully teleporting a photon. "The Philadelphia Experiment“ On October 28, 1943 by US NAVY US Navy ship was invisibly teleported from Philadelphia to
In
2002, researchers at the Australian National University successfully teleported a laser beam.
On
October 4, 2006 at the Niels Bohr Institute in Copenhagen, Denmark. Dr. Eugene Polzik and his team teleported information stored in a laser beam into a cloud of atoms.
HUMAN
TELEPORTATION
COMMUNICATION QUANTUM
CRYPTOGRAPHY
QUANTUM
COMPUTERS
TIME
TRAVEL
The human body consist of 1028 atoms. So we have to teleport these atoms with exact precision. A duplicate of the person would be made at the other end. Original mind and body no longer exists, their atomic structure would be recreated at the other end. But there are some limitations:
By reconstruction we may obtain the body, but can be a dead body Since a large quantity of information has to be teleported, it will take years to teleport a man.
If
teleportation be possible it become the fastest means of Communication. Tremendous amount of chemicals are now shipped from one location to another. This teleportation can be used in military purpose for data Encryption Space exploration can be enhanced. We cam teleport machinery to space shuttles or space colonies. Fuels for space stations can also be teleported Colonizing in mars is not possible today due to the lack of fresh water, if we can teleport water directly from earth colonizing in mars is possible
The
basic data unit in a quantum computing is a qubit. In a single qubit it is possible to carry lot of zeros and ones all together. quantum computers have the potential ability to carry and process large amounts of information in parallel and at very high speeds.
Unlike
a classical bit, which is definitely in either state, the state of a Qubit is in general a mix of |0> and |1>.
For
convenience, we will use the matrix representation 1 0 0 = 1 = 0 1
A
Quantum Logic Gate is an operation that we perform on one or more Qubits that yields another set of Qubits.
As
in classical computing, the NOT gate returns a 0 if the input is 1 and a 1 if the input is 0. The matrix representation is
0 1 1 0
Other
gates include the HadamardWalsh matrix: 1 1 1 2 1 −1
And
Phase Flip operation:
1 0 iϕ 0 e
Quantum teleportation for a qubit
1.Unknown qubit to teleport 2. Share entangled pair
a ↑ +b ↓ 1 2
3. Bell-state measurement 4. Send classical message 5. Unitary transformation
( ↑ ↑ + ↓ ↓)
(
U (i ) ⊗1 ↑↑ + ↓↓
)
i
U(i) = 1,σ x ,σ y ,σ z : Pauli spin operators
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