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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: KellyAdmirer
All very nice, but it doesn't seem to have many practical implications during most of our lifetimes. We all may be very pleasantly surprised.

Just look at the micro-computing in the last twenty years. IBM, the experts in the field, was yawning at that invention for about five years --- it looked like a toy to them. They allowed, finally, one small group to look into it, and only in the area of hardware. When looking at the external sources for software, there were essentially two choices --- DRI and Microsoft. When IBM approached Bill Gates, he told them Microsoft was not intereseted and suggested IB contact DRI (it is unpopular to bring up this fact, for it violates the cult of the visionary). Well, DRI was the big guy on the block, they were bigger than Microsoft and busy with marketing their existing operating system, CP/M. They declined IBM's offer.

Only after the second contact, IBM and Microsoft shook hands on the devlopement of DOS. Even after that, for years, IBM failed to understand the role of the micro-computer and notoriously underfunded the project. For his part, it was Bill Gates who said in 1984, "I cannot envision why would anybody need more than 64KB of memory. And indeed, a mainframe handling transactions of a large insurance company had 4MB of memory, which cost millions. In contrast, I am typing this into a computer under my desk that has 640MB of memory.

What's the point of all this? That the adoption of new technologies, once the initial scientific breakthrough is there, tends to occur very fast. Not only we, the general public underestimate the speed in this area, but even the experts --- the IBMs, the Microsofts of this world --- sometimes fail to comprehend it also.

Who knows, in 10-15 years we might be exchanging notes via a QC network and saying, "Remember when..."

61 posted on 12/20/2001 7:23:02 AM PST by TopQuark
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To: Zon
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? 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.
62 posted on 12/20/2001 7:23:41 AM PST by lafroste
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To: Zon
The Matrix!
63 posted on 12/20/2001 7:24:58 AM PST by elephantlips
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To: Father Wu
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.
64 posted on 12/20/2001 7:25:41 AM PST by Attillathehon
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To: kd5cts
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. (FlatLand.. great little story).
65 posted on 12/20/2001 7:25:57 AM PST by Paradox
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To: TopQuark
That the adoption of new technologies, once the initial scientific breakthrough is there, tends to occur very fast. Not only we, the general public underestimate the speed in this area, but even the experts --- the IBMs, the Microsofts of this world --- sometimes fail to comprehend it also.

In other words, we have great engineering capacity.

66 posted on 12/20/2001 7:27:11 AM PST by AUgrad
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To: dubyagee
To be technical/NOT....that is truly sci-fi mind-blowing....

Funny thing is, and I don't even know if it's funny or not, it just is, but I don't like sci-fi. I do agree that it is rather mind blowing. No cobwebs in here -- been blown away on a daily basis. I like to try to keep it fresh.

67 posted on 12/20/2001 7:28:50 AM PST by Zon
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To: Jumanji
Physicist Lawrence M. Kraus discusses the physical (im)possibility of teleportation in the national bestseller "The Physics of Star Trek". Begin with the question of how much information is encoded in the human body. The answer works out to roughly 10^28 kilobytes. To build a transporter that could beam this much 'data', let alone a living person, "would require us to heat up the matter to a temperature a million times the temperature at the center of the Sun, expend more energy in a single machine than all of humanity presently uses, build telescopes larger than the size of the Earth, improve present computers by a factor of 1000 billion billion, and avoid the laws of quantum mechanics. In short, forget it.

I agree that this concept of teleportation is implausible. However, I do believe that another, far and away simpler, approach is out there on the horizon. It is fantasy to say that a complex object can be reduced to information (digitized) then re-assembled at another point using the saved information. However, 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.

I admit that this stuff just fascinates me.

68 posted on 12/20/2001 7:31:12 AM PST by lafroste
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To: Justa
Yes. Thanks. I wrote it in middleschool.
69 posted on 12/20/2001 7:31:40 AM PST by Father Wu
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To: Father Wu
In my mind it comes down to the basic question of "if something is mathematically possible, is it necessarily possible?" I have been wrestling with that one for awhile, but my sense of it is that the answer is "no". Good support for your argument is provided by geometry. One can imagine all sorts of curvature in space-time, bur nature has chosen only one (Minkowski) geometry.

My strongest argument to date for my position has a ready example in the potential energy function, E=mgh, for gravitational fields. I have concluded that potential energy is nonsense, Whence such a strong conclusion?

much as Newton's laws are merely approximations and do not really describe reality. I beg to disagree: Newton's laws describe reality well, but not perfectly well. And the inaccuracy happens to be greater at greater speeds.

70 posted on 12/20/2001 7:31:46 AM PST by TopQuark
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To: lafroste
However, 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.

C'mon Scotty, fess up!

71 posted on 12/20/2001 7:33:56 AM PST by Paradox
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To: AUgrad
One thing that most people don't get is that this backs up Einstien's Theory of Relativity. Even with QT, we're still not able to break past the speed of light, because after the scanning process the information still has to be sent at light speed or slower
72 posted on 12/20/2001 7:35:11 AM PST by Father Wu
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To: Zon
Funny thing is, and I don't even know if it's funny or not, it just is, but I don't like sci-fi.

Neither do I. But when it changes from fiction to fact, it becomes very interesting. Even if one can only grasp a small part of it.

73 posted on 12/20/2001 7:35:37 AM PST by dubyagee
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To: Harrison Bergeron
Good analogy. It paints a picture of a technology horizon that we can't see over, but can eventually reach

To be honest, I was happy just have it flow out of my mind and onto the computer screen as well as it did. I love it when the user interface works as I intend it to.

74 posted on 12/20/2001 7:35:52 AM PST by Zon
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To: Father Wu
Just messing around. My son wrote it . I just pulled it off of the computer.
75 posted on 12/20/2001 7:37:00 AM PST by Father Wu
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To: Jumanji
Star Trek went about it the wrong way . Instead of disassembling and reassembling an object they could have just made an artificial wormhole and walked through it. Of course creating an artificial wormhole is a considerable technical achievment, but not as hard as the destruction/reconstruction method.
76 posted on 12/20/2001 7:39:56 AM PST by Brett66
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To: Jumanji
That's where quantum computers come in.
77 posted on 12/20/2001 7:40:16 AM PST by Father Wu
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To: Jumanji
"The Physics of Star Trek".

That phrase always makes me laugh. "Star Trek" (and most science fiction) is written in a world of non-physics. Science fiction is largely the genre of the omnipotent plot device. OPDs do away with the normal constraints of space, time, and causality. There is no cost, no trade-off.

78 posted on 12/20/2001 7:41:09 AM PST by hopespringseternal
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To: FairWitness
there is no such thing as "action at a distance". This was the focus of extended philosophical and scientific debate in the second half of the XIX century(Mach and Sommerfeld were central figures, if I remember correctly). There was a notion of ether introduced --- a medium for the alleged transport of action (force) at a distance.

It has been concluded then and believed since that, as you pointed out, there is no such thing indeed: all interactions of a particle happen at the point where that particle is located. Thus, two electrons repel each other not "at a distance," but by means of an electomagnetic field: each electron creates a field which influences the other at the point where that other is located.

Quantum mechanics does not actually add anything to that picture.

79 posted on 12/20/2001 7:41:09 AM PST by TopQuark
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To: lafroste
"The more interesting question is "what is the fifth dimension?"


That is a good question.
80 posted on 12/20/2001 7:41:50 AM PST by gjenkins
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