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Quantum Teleportation and Computation

Posted on 12/20/2001 5:17:16 AM PST by Father Wu

Teleportation is a name given by science fiction writers to a procedure in which an object disappears in one place and reappears in another instantaneously (this is classic teleportation; some authors explore the possibility that the original object doesn't disappear, resulting in there being two sets of the same thing). A good analogy of how a teleporter works is that it works like a 3-D fax machine.

For a long time scientists thought that teleportation was impossible because it violated one of the basic laws of quantum mechanics (Quantum mechanics is a discipline that describes the structure of the atom and how the particles in and around an atom move and react with each other. It also explains how atoms absorb and give off electromagnetic energy. It explains that when an atom releases light energy it doesn't release it in a steady flow. Instead it releases it in bundles of energy called quanta.), called the Heisenburg Uncertainty Principle (I'll talk about this later), which says that you can never exactly copy something. Then, in 1998, an international group, made up of six scientists and centered at the University of Innsbruck, proved that classical teleportation was possible, but at the moment only possible for photons and electrons. We won't be able to teleport ourselves in the near future, but it is not impossible that one day we might be able to.

Werner Heisenburg was a great German physicist who is best remembered for his contributions to quantum theory. He was born on December 5, 1901 in Wuzburg, Germany. He studied under Arnold Sommerfeld and earned his doctorate in 1923. For three after this he worked with Niels Bohr in Copenhagen. During most of this time he was working on the problem of how to describe the path of an electron using a matrix, which is a set of numbers use to plot the path of something. He was awarded the Nobel Physics Prize for his work in 1932.

He discovered the Uncertainty Principle in 1927, one of his most important pieces of work. The U.P. (Uncertainty Principle), summarized, states that one cannot know the exact position of something and its velocity (all this would tell you exactly where the object would be any given time) at the same time. You can find out one or the other, but you can never know both. This rule holds true for the most accurate measurements that we can take. The principle works because with each measurement that you take you disrupt the particle's path and the path of the particle that you used to measure the object. So, you can never accurately get both the position and velocity of an object due to the disruption caused by the measurement.

Another part of the U.P. states that the more accurately an object is scanned the more it is disrupted (this relates to the first part of the theory). This eventually causes the object to become completely disrupted before the scan is complete.

This has always been a stumbling block for scientists who are trying to find a solution to teleportation, because to teleport an object you first have to completely scan the object before teleporting it; but the Innsbruck team found a way of getting around this by using another aspect of quantum theory called the Einstein-Poldosky-Rosen Effect, or entanglement. Albert Einstein, Boris Podolsky, and Nathan Rosen discussed this effect in a paper. When two particles are entangled (say a pair of photons), the share the same properties at all times. If you entangled a pair of die, the dice would always turn up on the same number, no matter how far away they were from each other. And the number would still be completely random. Einstein called entanglement a "spooky action at a distance".

For many years it was thought that entanglement had no use, other than to prove the quantum theory, because quantum mechanics was the only field that could explain the bizarre behavior.

The Innsbruck team used the EPR Effect to bypass HUP by entangling the object to be teleported. That way all the unscanned information in the object would be passed to the teleported object through EPR.

The form of quantum teleportation that the scientists at Innsbruck came up with works like this. Alice wants to teleport an object A to her friend Bob. To do this she firsts entangles objects B and C. The n she sends object C to Bob. Once she knows Bob has object C she scans objects A and B together. This disrupts both of them and causes B's state to become equal to A's state (this part is difficult to comprehend). Now since A=B and B=C, A=C. Once this is done the scanned information is sent to Bob by conventional means (radio, ex.) and Bob processes object A, formerly object C, accordingly. In the scanning process the original object A is destroyed, ending in only one copy of object A, a classical teleportation.

This differs from a classical fax in that the original copy is destroyed in the process. Another major difference between the two is that teleportation takes three objects instead of just two.

The first action in the teleportation experiments done by the Innsbruck group is to create two entangled particles. This is done by sending a pulse of ultraviolet light through a type of crystal called a calcite crystal. This type of crystal is called a "non-linear crystal", probably because it splits photons (I wasn't able to find the definition). Inside of the crystal the UV photon is split into two photons whose polarization is entangled (polarization is the electrical charge of the photon. The polarization constantly changes). These first two photons are photons (objects) B and C. After the photons exit the crystal the UV pulse is reflected back through the crystal, while B and C are reflected to different stations. Photon C goes on to the receiving station where the teleported object will end up. Photon B is directed to the sending station. The pair of entangled photons are detected and the experiment starts. When the UV pulse is reflected back through the crystal photon A is created. A is sent to the sending station where a Bell-State measurement is performed on it and on photon B at the same time. A Bell-State measurement is the type of measurement the changes the state of C into the state of A. During the measurement A is scanned and the information is sent to the receiving station. There is a 25% chance that photon C will turn out exactly like A. So if the polarization is determined to be not the same polarization as A was it is sent through a crystal that will rotate its polarization until it matches A's (A's polarization could have been up, down, right, or left). The process has not been perfected yet and has a success rate of 75%.

The future of quantum computing is a promising one. Unfortunately, we won't be able to teleport humans in the foreseeable future. This is for a variety of reasons, all of them engineering. One of the problems is that the object to be teleported has to be completely isolated. That would be hard to do with a living organism. Another problem would be entangling the objects, although it could be done with large objects. Entanglement has already been demonstrated with Buckyballs, molecules made up of 60 atoms of carbon.

One of the most promising aspects of quantum teleportation would be in the field of quantum computing. Quantum computing is an experimental field of computing that uses atoms and molecules as bits. It is ultra-fast, about 1x10^9 times faster than today's super computers (the most powerful computer in the world could download the entire Internet in 2 seconds). This means that it would take a quantum computer 1 year for something that would take a conventional computer 1,000,000,000 years. Quantum computers have another advantage over conventional machines. Conventional computers will eventually hit physical limits or the facilities used to manufacture them will become too expensive to build.

Nobody thought much about the theory of quantum computing until 1994. A scientist named Peter Shor at AT&T discovered that how you could factor the prime factors of a number using a quantum computer much faster than with a conventional computer. The discovery fascinated scientists and horrified the security industry. It started off a wave of research in the field.

The great speed of quantum computers comes from the way they use atoms for qubits, or quantum bits. Unlike conventional computers a single qubit can represent more than one conventional bit. This is called superposition, or one thing representing more objects or ideas than just it. Qubits can do this because the atom or molecule that it is made up of can be made up of usually have more than one characteristic (ex. Electrical charge, spin axis, etc.) that fluctuate. Scientists control and measure the effects of these characteristics. They then are able to transform them into an extremely powerful computer.

In 1996 Neil Gershenfeld set out to build a quantum computer with a group at the University of California. Their first problem was to find a material that could be completely isolated and could have information entered, calculated, and measured with out decoherence occurring (decoherence occurs when an object or substance that is totally isolated interacts with outside forces or objects. This would cause calculation to become impossible in a quantum computer. It's like you were reading a book and then somebody started changing the script, ripping out some pages, added in new ones, and scribbled over other pages). The group then realized that liquids would be perfect, instead of isolating a single atom or molecule (this is for a very low powered quantum computer). Since all the molecules or atoms in the liquid would be the exact same, it wouldn't matter if the molecules interacted during the computations.

An atom's nucleus is constantly spinning like a gyroscope. The direction of the spin of the nucleus of an atom depends on the outside magnetic forces that are influencing it (like a magnet). The spin can either be parallel with the magnetic field (this would be like a gyroscope spinning on top of your finger, right side up) or anti-parallel (this is like a gyroscope spinning on your finger upside down). Now, when you apply an outside magnetic field, the spin axis of the nucleus will spin (like a gyroscope starting to wobble on your finger). If you turn a magnetic field on and off very fast it will cause the spin axis to completely rotate (you could rotate the spin axis 90 degrees or 180 degrees; it just depends on how long and how fast you turn the magnet off and on). Then, when you turn the magnet off the spins go out of alignment, until the magnet is turned on again. When the spins go out of alignment the atoms lose energy, which they emit in the form of radio waves. So if you rotated a spin 90 degrees it would give off a different amount of energy than if it had been rotated 180 degrees. The radio signals are picked up and translated by the same device that sent out the magnetic field. This process of manipulating and reading the energy emitted from the atoms is called NMR or Nuclear Magnetic Resonance. It works exactly like a MRI does. Different frequencies of NMR affect atoms of different elements in different ways. Like a hydrogen atom might remain the same while a carbon atom is rotated.

In QC (quantum computing) the spin of an atom (parallel, 90 degrees, anti-parallel, and anti-parallel 90 degrees) stands for a qubit. Parallel equals 0,0, ninety degrees equals 0,1, anti-parallel equals 1,1, and anti-parallel 90 degrees equals 1,0. Scientists measure the energy levels emitted by the atoms and are able to tell what qubit an atom represents.

Another thing the spins of an atom are affected by is the spin of its neighboring atom. In molecules atoms of different atoms are often side by side. In the molecule of chlorophyll (CHCl3) the spin of the carbon atom is dictated by the spin of the hydrogen atom next to it. This could have been a liability to deal with while designing a qc (quantum computer) but instead it forms the basic unit of computing, called the logic gate. In a computer a logic gate data is processed. Microchips are made up of logic gates. The interactions of the carbon and hydrogen atom forms a type of logic gate, the exclusive-OR logic gate. This is sometimes called the controlled-NOT gate. A NOT logic gate is the simplest type of logic gate. All it does is inverts the input. On a controlled-NOT gate the output depends on the state of the inverter (the output will be different depending on the spin of the hydrogen atom). Once the spin of the carbon atom has been inverted it sends out a radio signal which the operator of translates into the output.

Using an array of these devices that are all coordinated together it would be possible to create a super supercomputer, billion times faster than today's super computers.

Quantum teleportation might eventually be used for transferring information between logic gates. It will be a while before we will be able to build a quantum computer that is fast enough to compete with today's fastest computers, but it will definitely be worth the wait. One huge advantage to qc is that they are much easier and cheaper to manufacture than conventional computers.


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To: lafroste
I do have shades of an inkling of another mechanism could be employed that really moves the entire object en mass in an apparently discontinuous fashion.

Artificial wormholes are the way to do this. We just need some neg-matter or some way of generating neg-matter's effects.

81 posted on 12/20/2001 7:42:18 AM PST by Brett66
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To: TopQuark
Whence such a strong conclusion?

THAT is a question with a ponderously long answer! Ten seconds into it you would forget this question as other more profound heresys arise. If you are sincerely interested, I would not mind a dialogue on the subject.

I beg to disagree: Newton's laws describe reality well, but not perfectly well. And the inaccuracy happens to be greater at greater speeds.

Here we must respectfully disagree. When dealing with an exactitude (like mathematics) "not perfectly well" is not good enough. Einstein's theory (assuming it is true) is not only relevant at great speeds, but also slow speeds. It is simply that the difference between Einstein's answer to a problem involving a slow speed is indestinguishable from Newton's unless you carry the calculation out to 20 decimal places. But that difference counts.

I believe that any valid physical law must be true at ALL conditions, not just a narrow subset of conditions to be valid in general.

82 posted on 12/20/2001 7:43:57 AM PST by lafroste
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To: lafroste
Your post does not address the basic premise of my question. That being: How do you use a physical system to manipulate a quantity that is not subject to physical law? 

As of yet we don't understand how it applies to physical laws. That is yet to be understood, harnessed and applied for man's benefit. That's the purpose of technology advancement, research and development.

My further point was that the basic misunderstanding we are dancing with here is the basic thing that must be resolved one way or another for your future to be realized.

83 posted on 12/20/2001 7:45:07 AM PST by Zon
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To: lafroste
The generally accepted answer is that the fourth dimension is time. The more interesting question is "what is the fifth dimension?" (And no smart remarks about the musical group please)

No one knows, of course. I just wanted to mention that the scientists need not add dinmensions one at a time. Your remark reminded me of a model (in statistical mechanics) from long ago that calculated the behavior of a system in... 27 dimensions (yes, there were reasons for the choice of that number). You may also hear a statement along the lines, "We know this phase transition occurs above eleven and below six dimensions. What happens in between is an open question."

So, one need not assume that the next "big" change in paradigm, if it affects the dimensionality at all, will add just one dimension.

84 posted on 12/20/2001 7:48:42 AM PST by TopQuark
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To: lafroste
. It is simply that the difference between Einstein's answer to a problem involving a slow speed is indestinguishable from Newton's unless you carry the calculation out to 20 decimal places. But that difference counts.

Especially when you're dealing in Quantum measures, where 20 decimal places is not unusual. Newtons laws were a representation of the best knowledge at the time. Einstein refined them to fit all situations.

86 posted on 12/20/2001 7:50:42 AM PST by AUgrad
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To: TopQuark
You'll get no arguments from me on that one. However, my little pile of quivering grey stuff has its metaphorical hands full with just five, thank you very much.
87 posted on 12/20/2001 7:51:33 AM PST by lafroste
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To: Erasmus
"Heisenberg may have slept here." That's very nice. Thanks. LOL.

On another note: what does it provide as evidence? A lot of little Heisenbergs running around?

88 posted on 12/20/2001 7:51:39 AM PST by TopQuark
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To: TopQuark
Super string theory has us somewhere around 9 dimensions, and super membrane theory has us somwhere around 11, and my super string super string theory has us at 18 dimensions ... but that doesn't account for the 32 continuous random variables, that I have just identified, which determine what I will do in the next hour. Geez, this is getting complex.
89 posted on 12/20/2001 7:52:26 AM PST by gjenkins
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To: Father Wu
BUMP
90 posted on 12/20/2001 7:53:24 AM PST by Aurelius
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To: elephantlips
The Matrix!

I haven't been able to make the connection to The Matrix very well. But I do know other people that said the movie helped them understand the concepts better. 

Where I and they do agree is on The Matrix is in the metaphor of being controlled by an external authority. Wielding the metaphors around in my mind enough to see how we can out-compete government.

91 posted on 12/20/2001 7:57:08 AM PST by Zon
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To: lafroste
Time is rather iffy as it is subject to the "red-shift" of Einsteinian relativity.  The LWH dimensions (at least, as far as I know) are constant no matter where you are in relationship to anyone else (at least in this universe).

I will admit that in theory, at least, you can have unlimited dimensions (otherwise, why calculus?).  But a more interesting aspect to this discussion is what would happen if you could temporarily collapse the perceivable 3 dimensions to 2 in a small area.  It appears that this has better possibilities for actual teleporting.  OTOH, this entanglement teleporting thing may be a boon to medical science.  Imagine teleporting cancer or Ebola out of a patient's body.
92 posted on 12/20/2001 7:59:49 AM PST by Frumious Bandersnatch
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To: Attillathehon
I have no idea what you're talking about. I just looked in to see if there was a quicker way to get to work.

 LOL!!!

I wish I could say check back in a week, but twenty or thirty years is probably more like it. :)

93 posted on 12/20/2001 7:59:53 AM PST by Zon
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To: Paradox
Well, Time is not the fourth dimension, it is just a dimension, if you want it to be. Think of "the" fourth dimension as merely an extension into another "space", perpendicular to our own. Much as a two dimensional being who lives in a 2 dimensional space (sheet of paper) cannot detect the third dimension (our own), we cannot detect a fourth. True to the name, this is quite paradoxical.

Nobody claims that the coordinates must be written (x,y,x,t) with time being the fourth in the tuple. One could use (x,t,y,z), of course. It was always my understanding that people referred to time as the fourth dimension as the one added by the relativity theory, prior to which time was known but considered independent.

To make a statement that an n-dimensional being in an (n+1)-dimensional world cannot detect the (n+1)st dimension is rather strong and requires support. How do we detect a particle's spin without having one ourselves?

94 posted on 12/20/2001 8:02:48 AM PST by TopQuark
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To: Father Wu
Thanks. I wrote it in middleschool. Jeeez! Father, after you have demonstrated this much knowlege and intellectual capacity, one would think they should have graduated you by now... It's just not fair to keep a student who can write such an essay in the middle school.

I knew Catholic schools were strict, but this is something else altogether.

96 posted on 12/20/2001 8:07:41 AM PST by TopQuark
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To: Nick Danger
Q: How many surrealists does it take to change a light bulb?

A: Fish.

97 posted on 12/20/2001 8:19:56 AM PST by butter pecan fan
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To: lafroste
I have concluded that potential energy is nonsense.

Physics takes as postulates the following.

1. There is energy of a particle, T, associated with its motion, called kinetic.

2. There is energy of a system of particles, U, associated with interactions among them, called potential.

3. Whenever a system of particles evolves, it does so in a way that make the total vaiation of the quantity (T-U) minimal (this is Hamilton's Principle of Least Action).

Conceptually, that's it. In applications, one has to exhibit the form of the potential energy U, which is system-specific, of course. There is no empirical evidence at odds with this structure.

Which part of it qualifies as nonsense?

98 posted on 12/20/2001 8:20:41 AM PST by TopQuark
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To: lafroste
Here we must respectfully disagree. When dealing with an exactitude (like mathematics) "not perfectly well" is not good enough. Einstein's theory (assuming it is true) is not only relevant at great speeds, but also slow speeds. It is simply that the difference between Einstein's answer to a problem involving a slow speed is indestinguishable from Newton's unless you carry the calculation out to 20 decimal places. But that difference counts.

This is merely a difference in the semantical meaning of the words.

As far as I know, all physicists view the "truth" about reality as a limit. Very much like zero is a limit of the 1/n, that is,
1, 1/2, 1/3, 1/4, ....
The limit is zero, but no term of the sequence is zero. The truth is, similarly, the limit of our model building. No theory claims to have attained it.

Returning to the question at hand, I believe that we do agree, but have used different words to describe it. We currently beleive in the relativity theory --- just one term of the sequence, not the ultimate truth; Newton's theory departs from it more the greater the speed of the bject. In fact, Newton's theory is competely valid in the limit of speeds approaching zero -- in the sence of the limit.

99 posted on 12/20/2001 8:27:41 AM PST by TopQuark
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To: TopQuark
To make a statement that an n-dimensional being in an (n+1)-dimensional world cannot detect the (n+1)st dimension is rather strong and requires support.

Yes, that was worded too strongly, I should have used "readily perceive" instead of detect.

100 posted on 12/20/2001 8:30:20 AM PST by Paradox
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