Ultrasecure Quantum Communications Over Thin Air
SlashDotIDOne writes "Well, given a hundred years at university and a few extra titles to my name, I'd be comfortable trying to summarize the article so don't take what I say at face value. Apparently British and German researchers have found a way to use quantum crypto through the air, thus allowing it to be used to communicate with satellites, etc. A very secure form since you know whether a message was intercepted, rather hard to tamper with ;). Courtesy India times and Google's new news service."
Karmawhoring:
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Excellent book for lay-people and crypto-beginners: Review Here
;)
This has been a working theory for years (and the book suggests it had been done across a distance of several hundred meters back then!)
I hate it when people say "wow, we have an unbreakable code now". We find out new things and rubbish old theories about the universe and it's properties all the time, we may have violated the second law of thermodynamics, what's to say this is "unbreakable" - it's only secure so far
Johns: Well, how does it look now? Riddick: Looks clear.
The big question, though, is whether they should be allowed to enter the commercial domain, where they could be used by organised crime and terrorism to thwart eavesdropping by police.
Whether they should be allowed?? Whether they're allowed or not has little bearing on what would happen. You look at the US's export restrictions for crypto, asking people outside the US to download the inferior version, they haven't exactly worked wonders have they?
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The big question, though, is whether they should be allowed to enter the commercial domain, where they could be used by organised crime and terrorism to thwart eavesdropping by police.
Who said that this is the big question? This is not the "big question"; it has already been determined that "terrorists" did not and generally dont use crypto for communication, so thats just a lame excuse to keep the tools crippled (see A5).
Organized crime? just because an infinitessimal number of "organized criminals" (just where the hell are the disorganized criminals? [yes yes, GAOL]) might use crypto to secure thier telephones doesnt mean that the vast majority of people should be denied access, or given access only to cripple ware.
But you know this.
These agenda setting questions are pure bad journalism, plain and simple, and simple minded.
ATH0 Bitcoin: 1DnwFLXczVZV8kLJbMYoheUrpqHesjxrSi
Basically, if you can bug the users keystrokes when they type in their password for the crypto system, then that system is toast- similarly if they have a physical token- if you steal that token.
Or you bribe/blackmail the guy; or you use "lead pipe" cryptanalysis- you hit the guy over the head until he tells you his password.
This system looks good; but don't assume that its going to be 100% secure. In the real world it can't be, unless there's no people in the loop, not even designing the system.
-WolfWithoutAClause
"Gravity is only a theory, not a fact!"First, I'd like to point out that quantum computation and quantum encryption are two almost completely separate concepts. Quantum encryption is based on the fact that quantum states cannot be measured without altering. The most common example is the polarization of a photon, but it will work for any quantum state, so long as there exist, effectively, two unique states that can transmit the data.
Quantum computation, however, is much more complex and much more interesting. Quantum computers are based on the concept of quantum entanglement, the ability of a quantum state to exist in a superposition of all of its mutually exclusive states: It's a 1 and a 0. However, this is not as easy to use as one might think. While it's true that if you have n quantum logic gates you have the ability to input 2^n data values simultaneously (as opposed to only 1 piece of data if you have n digital logic gates), this is not going to be the end of classical computing for a few reasons. First, quantum computers have to be perfectly reversible. That means for every output there's an input and vice versa. And there has to be no way of knowing the initial states of the data. You don't process data, you process probabilities in a quantum computer; if you know exactly what any one value is throughout the computation, you can find out all of the values: the superposition ends and you're stuck with a useless chunk of machinery. This means YOU CAN ONLY GET ONE RESULT FROM ANY QUANTUM COMPUTATION, THE END RESULT. You can't see what the data in the middle is or the computer becomes useless. (Landauer's principle makes heat loss data loss. When your processor gets hot, it's losing data. If the same thing happened to a quantum computer, it wouldn't be quantum anymore.) Decoherence is what happens when you randomly lose data to the environment by design, not by choice, and the superposition ends. This is bad for Q.C. Oh, and quantum computers can only do *some* things faster, like prime factorization and discrete logarithms. Not multiplication or addition. Plus, the circuits that would do basic arithmetic would be bigger and slower than what you've currently got.
So what does this all mean? It means that quantum computers are going to provide some advantages (real quick big number factorization), and some disadvantages (that whole RSA standard). The most realistic initial use of quantum computers will be as add-ons to existing super-computers to resolve certain types of NP-Complete headaches that regular math can't simplify yet. At best they will someday be an add-on to your PC; but they will never replace the digital computer.~
If you want more info, check out http://www.qubit.org, it's got some decent tutorials.
Anyone got a link to the Nature article itself?
:)
From the guff written here, it all seems implausible. Encoding a message in single photons is fine, but I find it hard to believe that you can transmit a stream of photons several miles through the atmosphere without a single one of them being absorbed or scattered (which would look the same as interception). It's just light, after all.
I wish I could remember any physics. Then I could say something about the possibility of "amplifying" a signal in which the symbols are single photons. But I can't, so I won't even try.
Plus, even taking the above on trust, it doesn't sound too hard to disrupt (with, say, a mirror).
Corrections and extra technical info most welcome!
These sigs are more interesting tha
British-government-owned company involved: QinetiQ
Article from The Economist: "Free-space" optics
'"Free-space" optics requires no fibre' (oh, how I love that British English)
Quantum secure key exchange paper: here
I remember reading once that Philip K Dick (writer of Blade Runner, Minority Report) went mad at the end of his life, one of the reasons being that he was convinced that there were zillions of alien transmissions going through the air which were screwing with his mind.
Perhaps he was right. Perhaps taking lots of hard drugs allows you to tune in to alien quantum communications. Sounds like some experimenting needs to be done...
From the article:
"Gift a Washing Machine & get Pearl Set Free @ INR 8590"
They obviously don't know that Perl is FREE for most systems.
Follow me
No, I think you mean Hypersecure. Much stronger than Supersecure or Ultrasecure, though there is a SuperHyperUltraSpecialSecure encryption in the works IIRC. For most people just plain secure works fine though.
Seriously, if you search on slashdot on 'quantum cryptography', I predict you'll find quite an amount of previous stories saying exactly the same.
By the way, a few minutes ago:
--
If code was hard to write, it should be hard to read
A very secure form since you know whether a message was intercepted, rather hard to tamper with ;).
I'm not sure how knowing if a message has been intercepted makes it more secure. I can yell to a friend across a crowded room, and when people turn their heads at the sound of my voice, I know my message has been intercepted. Does that make it more secure?
from the article (yes I read it)
The big question, though, is whether they should be allowed to enter the commercial domain, where they could be used by organised crime and terrorism to thwart eavesdropping by police.
If we don't let the public use this, everyone we don't want to have it will get it eventually. There wont be a user base to be framiliar with to help the government in finding the weaknesses. It is the same with cryptography software. Those who want it really bad can write their own or violate an EULA. The law abiding public is shut off from protecting their own things when terrorists and organized crime still can.
Help I'm a rock.
...here, quickly improved it to 0.5 and 1 km, and then 10 km. Don't quite know why Nature thought this particular paper was so revolutionary -- wake me when they get to about 300 km, the minimal bounce-off-satellite trip.
Exactly, for a couple of gigs of pr0n and some hot grits you could probably pick up the passwords of half of the slashdot readers.
Try NetBSD... safe,straightforward,useful.
The BBC has a more laymans view of things here
Laptop Reviews
Ultrasecure Quantum Communications Over Thin Air
But how thin does my air have to be? I mean, I try to keep my air in shape but it certainly isn't as thin as it used to be. Perhaps if I move to Tibet.
Well at least the communications are ultrasecure - I find that secure just isn't enough.
So, Tony sends a message to George using this method. A third party, let's call him... Saddam... intercepts the message. George and Tony know the message has been seen, but does Saddam know? Since he changed the state of the information packet by intercepting it, I'd say yes.
Saddam therefore has the message information (which may be valuable on its own) and he has confirmation he's been busted. In other words, he knows he's disrupted Tony and George's communications, and he can take that into account when he acts on the info in the message.
Thus Saddam's role becomes one of "message wrecker" rather than "eavesdropper". This can still be quite a pain in the ass, particularly if wrecking messages is easy. After all, it would be particularly annoying to Tony and George to spend lots of their hard-earned money building such a system, and find that Saddam is wrecking every single message.
Am I right in thinking Saddam will be aware he's been busted?
It's doubtful based on the reports that the US will allow such a thing to pass unless they can intercept and read it.
There is the danger of a man in the middle attack here. Quantum cryptography requires the private transmission of the secure data as well as the public transmission of your polarizer (or what not) settings. If the cracker can replace the public transmission with his own, then he can eavesdrop with impunity.
Quantum Crypto in general seems like a good idea, but think about it. The "good guys" know if the "bad guys" have intercepted the message (not just if the message is tampered with, but even if it's observed). So what do the bad guys do? Intercept EVERY message. The good guys no longer know which messages are trustworthy, and which are not. The key here would be the ability to differentiate between "This message was intercepted by the enemy", and "This message was intercepted, decoded and READ by the enemy". This is a level of detection that is (as far as I know) not yet available.
I am alone, yet I also surf the universal backwash of undifferentiated Being, which is LOVE.
It's the way you measure the polarisation of the photons. For example, they might be 0 or 90 degrees, and if you are measuring them like that, you could reproduce the photons. But if you were looking for 45 or 135 degree polarisation, you would just get random results. Or you could be looking for 0 or 90, but they are sent 45 or 135. You can't measure both because you only have a single photon to play with. That's the theory anyway, it is hard to generate single photons! But that is the basis of the whole thing.
Even photons must create some gravity. It would be possible to detect them if the detector was sensitive enougth.
You miss the point. The information is not encoded by modulating the frequency or the amplitude of the photons, it's done by manipulating quantum variables that are sensitive to observation. So, when you snoop the data, you change it, and the stream becomes corrupt. Personally, I just don't see how this beats symetric key cryptography where you can communicate the public portion in the clear (e.g. encode it into public transmissions or send out six couriers with the same info, since you don't care if one of them is intercepted).
One time pads are ABSOLUTELY unbreakable...
Erm, no they're not. If you get hold of the decrypting pad you can break it, not that much different than stealing a pgp key and passphrase really.
He who defends everything, defends nothing. -- Fredrick The Great
Does anyone else think it would be a great addition to Slashdot's stories if they would include a link to the google news search under every headline? I don't think it would be that hard to automate, but it sure would open the door for us users to see a lot of different articles per issue discussed.
~ now you know
Assuming someone doesn't steal the key and you did it correctly, then yes.
But if you didn't do it correctly, or your pad choices aren't truly random, or someone knows some of the plaintext, or half a dozen other things, then a one time pad can be broken with a lot of guesswork.
- Give a man a fire and he's warm for a day, but set him on fire and he's warm for the rest of his life.
Philip K Dick didn't write Blade Runner.
Well, he wrote "Do Androids dream of Electric Sheep", which Blade Runner was based on. Happy now?
Second, they talk about boosting the signal to achieve the ability to transmit to satalites. This would be at the detriment of the security of the key as the greater the signal strength, the more photons it carries, the easier it is to split off a portion of the beam to be read. This of course is still not in any way easy as statistical analysis of the strength of the signal can reveal that it is being split.
Third, the fact that the signals are being bounced of a satilite autmoatically invalidates the security. If it is relayed, the key is stored in non-quantum states which invalidates it's security. The article sais that the signal on fiber optics has to be boosted every 6 miles. That is also garbage. Boosting the signal again invalidates the security. I don't know anywhere that quantum keys are used through signal boosters.
This experiment is notable though. The farthest a quantum key has been transmitted was 32ish km (I believe in germany), over a single fiber-optic cable. This is the first transmission of a quantum key over a signifigant length through atmosphere.
I do security
Symmetric key cryptography is sensitive to brute-force and possibly cryptanalysis - especially if the key is recycled. You also need couriers. If you are going to use couriers - have them at least carry CD-ROMs full of one-time pad data - that isn't any less practical to achieve.
The adavantage of quantum crypto is that it gets rid of the couriers. What if the attacker intercepts all six couriers - possibly by bribing them all. It just takes one more factor out of the equation. Also - the transmission is not susceptible to cryptanalysis or brute force, assuming your key data is truly random. The actual transmission is encrypted by one-time pad - the only way to crack it is to have the key.
And you are right - the basis of quantum physics is that you CANNOT measure the photon properties using any technique at all without altering them. If there is a clever way around this it would mean that the laws of physics as we understand them are quite wrong. Not that this is impossible, but quantum theory has been tested quite thoroughly. There is always that one experiment that could shoot it all down - but nobody has found it yet.
If someone intercepted every attempt to transmit your one-time pad, you might have a problem, but there are apparently ways around that.
Knowing some of the plaintext will not help you break the one time pad. The only part of the message that you will be able to deduce given that you know some of the plaintext, is that part of the plaintext that you already know.
www.timcoleman.com is a total waste of your time. Never go there.
The big question, though, is whether they should be allowed to enter the commercial domain, where they could be used by organised crime and terrorism to thwart eavesdropping by police.
Yes. True. On a similar note: cars, food and snail-mail are used by organized crime and terrorists for transportation, nourishment, and communications. Imagine how much better and safer the world would be if we didn't give the public access to these things.
-... ---
As I understand it, the usefulness of this form of quantum communication is in key distribution, much like public key cryptosystems.
If Alice and Bob have a quantum link between them, and want to communicate securely, then they can use a secure cipher of some sort. Alice can generate a key and send it to Bob. Now, given the nature of quantum physics (is this related to the Heisenberg Uncertainty Principle?), an eavesdropper cannot intercept this key without both Alice and Bob knowing. Now that they have a shared key, they can start to communicate using the strong cipher that they selected.
Correct me if I'm wrong.
www.timcoleman.com is a total waste of your time. Never go there.
Read "Quantum Psychology".
ttyl
Farrell
fnord
CAN-CON 2019 - Ottawa's only book oriented Science Fiction Convention! October 18-20, Sheraton Hotel, Ottawa, Canada h
And you are right - the basis of quantum physics is that you CANNOT measure the photon properties using any technique at all without altering them. If there is a clever way around this it would mean that the laws of physics as we understand them are quite wrong.
... quite wrong ... God ... dice..." :-)
:-) FWIW, I think I was on crack, and said "symetric key" when I meant "asymetric key". Obviously, broadcasting your symetric key over public media, as I suggested, would be a very bad thing :-)
Could have been said, circa Newton: "The basis of physics is that time's passage is constant between any two bodies. If there is a clever way around this, it would mean that the laws of physics as we understand them are quite wrong."
Could have been said, circa Einstein: "The basis of relativistic physics is that actions happen independantly and interact through the transfer of energy, which is bounded by C
It's not that Newton was "quite wrong" or that Einstein was "quite wrong", but rather that they were both correct for a certain problem domain. I suspect that the current work on quantum cryptography will fall apart once we get the GUFT nailed down.
Symmetric key cryptography is sensitive to brute-force and possibly cryptanalysis
Everything is susceptable to brute force. Don't buy it? Try to keep a secret, and I will send some brutes over to your house to torture you... Brute force always works
Sending a courier with symetric key data or a one time pad has the disadvantage of being subject to undetectable interception. When you send 6 couriers with the public portion of an asymetric key, any 5 of them can be intercepted, but a) getting the public portion does not allow decryption and b) replacing the courier/key can be detected by comparing all 6 when they arrive. Expand the number of couriers as required.
but I'm no physicist. Here goes:
The article says that it would be difficult to intercept because interception would be easy to detect because the interception would change the state of the photons. Okay. But then it says that since photons are so easy to deflect the reciever would have to send back info about what packets are missing. So couldn't you just intercept a bunch of bits and the reciever would just assume interference. Is this one of those signal-to-noise inference things a la Stephenson's "Cryptonomicon"?
Furthermore, it mentions some absurd length of time to decrypt these messages, but I assume that's with current tech. What about with a quantum computer? Isn't that the sort of thing that they are supposed to excel at?
Just wondering....
Disclaimer: MINAA (Mummy! I'm Not An Animal!)
A laser transmitter was set up at the top of the 2,950-metre (9,587-feet) Zugspitze, and sent out pulses to a receiver, a 25- centimetre (10-inch) shop-bought telescope, positioned on line of sight on another peak, the 2,244-metre (7,293) Westlichekarwendespitze.
Obviously they encrypted the locations so readers wouldn't be able to attempt to eavesdrop as easily.
bytesmythe
Hypocrisy is the resin that holds the plywood of society together.
-- Scott Meyer
I believe you are wrong. There is still the possibility for the classic man-in-the-middle attack:
Alice: Hey Bob, are you out there?
Eve: Uh yeah, this is me Bob, that's the ticket.
Alice: OK Bob, let's do our secure key exchange.
Eve: Sure thing, Alice.
Alice and Eve now have a secure channel between them.
Bob: Alice?
Eve: That's me.
Bob: Let's exchange keys.
Eve: Yeah, let's do that. That way no one will be able to intercept our traffic.
Bob and Eve now have a secure channel between them.
Bob: I love you, Alice.
Eve: Well, it's a good thing that you told me over the secure channel. But alas, I am in love with someone else. You know who would make a good lover for you? Eve. She's just your type.
Bob: Gee, thanks Alice.
Alice: I love you, Bob.
Eve: Sorry baby, I've found someone better.
grep -ri 'should work'
You could be given THISISAONETIMEPAD and decrypt it into any string the same length, period. You would have to know the whole plaintext (assuming the OTP is random, which it ought to be), in which case decrpyting it wouldn't be helpful, would it?
The bottom line is that known-plaintext doesn't hurt OTP, because you cannot recover any portion of the pad except for the part that reveals the plaintext.
You could watch a laser pulse without interrupting the flow of the laser.
.. beat head into wall. Notice how the paper towel roll wasn't even really needed, but I wanted to involve scissors. Use scissors to cut wrists.
Mr. Science Science Project:
Take laser pointer pen.
Take cardboard paper towel roll.
Cut hole in top cardboard paper towel roll, so the roll is still intact and you can see the inside.
Shine laser through paper towel roll, look through hole, see wonderful beam shining through.
Flash laser pen for fun, notice you can see it shut off and turn on.
Binary with lasers, you say? Worthless, because it can be unknowlingly intercepted in transit.
There's still the problem of authentication however. How do you know that the person you are communicating with perfectly isn't one of the bad guys? For authentication you require passwords, or some other form of identification.
-WolfWithoutAClause
"Gravity is only a theory, not a fact!"Assymetric encryption is vulnerable to number-factoring - a problem which is currently difficult, but is threatened by quantum computers and the possible development of exponentially faster conventional computers.
As far as the laws of physics changing, that is always possible. One advantage of quantum crypto is that it prevents interception. If somebody figures out how to bypass it and divulges the vulnerability, you can stop using it and rest assured that nobody intercepted anything prior to the disclosure (unless the NSA figured it out five years ago and is keeping quiet about it - but they probably employ a lot more mathemeticians than quantum physicists).
However, with asymmetric or symmetric encryption anybody can intercept your communiction. True - they can't read it now, but they can always save it until technology improves. Some secrets are only important for a few weeks or months - like the next querterly report for comnany XYZ. Some secrets are important for a lifetime. In the first case, I wouldn't be too afraid that somebody might break my message using a quantum computer in three years - in the second case I'd be VERY concerned. Suppose it is a government secret being transmitted from embassy to embassy which contains data obtained by espionage on an allied country (such as the British spying on the Americans or vice-versa). That data would be very sensitive for as long as the alliance exists (how long have the USA and the British been friends now?). You don't want it divulged twenty years from now when somebody finds some old messages and pulls out their 10,000,000 processeors running at 100 petahertz pocket calculator and does a "little" math.
Quantum crypto is a completely different approach to safeguarding a secret, and I think that it will be quite valuable for many years to come - or at least until the laws of physics are changed. And once that happens, you can just stop using it and not worry about who has already intercepted your data. The only other method which comes close is the one-time pad - and then only if you are certain the key is protected and transmitted securely.
This would be at the detriment of the security of the key as the greater the signal strength, the more photons it carries, the easier it is to split off a portion of the beam to be read
Isn't the whole point of cryptography that information can be sent freely with only the intended recipient being able to easily decrypt it? And isn't the point of quantum cryptography to guarantee that only the intended recipient can decrypt it?
Who said there has to be a decrypting pad? :)
There's still the problem of authentication however.
That is indeed very true. But unconditional confidentiality cannot be done with a key smaller than the message. Unconditional autencity is different, that can be done with a key smaller than the message. This is very important because without unconditional autencity quantum cryptography is not secure.
When transmitting a message you can include a key for the next session, so you don't have to use the signature key more than once.
Do you care about the security of your wireless mouse?
No, quantum cryptography ensures that only the intended receiver received the message. Anyone snooping the message would be detected by the receiver (it's complicated to explain, but it has to do with the rotation of the light wave (remember that photons are both particle and wave)). So, you don't send data over a quantum link, you send your temporary key. When both sides have the key (and know that no one else could have sniffed it), they can use regular channels to send the data encrypted with that key.
"Save the whales, feed the hungry, free the mallocs" -- author unknown
I think the 'unbreakable' claim comes in that you cannot read the message without knowing the pad. Of course if you already have the key then the message can be decrypted... but that is obvious and it doesn't count as 'breaking' the cipher.
:-).
So the cipher is unbreakable, but the system as a whole may not be, due to passwords written on Post-It notes etc. IANAC, but I think analysis of new encryption methods doesn't concern itself with such possibilities
-- Ed Avis ed@membled.com
I know how the theory goes. But as a black box, the system guarantees that only the intended person (etc.) gets the decrypted data. Someone reading stray photons does not compromise the system as the original poster claimed, but perhaps they were trolling.
Of course, if there is something we don't yet know about quantum mech then perhaps it's not perfectly safe. Also, actually achieving 100% secure communication requires care in implementing the design - you can't put too many photons out there or some of them can be intercepted without tipping off the recipient.
Human genome = 3 billion base pairs = 6 GBit. Windows + Office = 20 Gbit. Which is more impressive?
Actually - too many photons isn't a problem. You send a bunch of photons, determine which if any made it there intact without being intercepted, and then select a portion of them to be the key.
Each photon is a single bit - so if one is intercepted but not part of the key it does no damage. And ones which are intercepted would be rejected as becoming part of the key. (Remember, you decide that you have a secure key BEFORE you send the message - so if it looks like somebody is intercepting bits you can decide not to send the message at all. You could even send a bogus message (which would still be indecipherable) to give the impression that a message was sent when it was not.
If the one time pad is done correctly, yes, it's unbreakable. I think I said that.
If it's not done correctly, say, the guy used the same pad on two different messages, or the guy isn't using a good random generator, then a known plaintext attack will give you new parts of messages.
Especially if the guy used the same pad twice.
Like I said, if it's done *correctly* then it's unbreakable. But it often is not done correctly.
- Give a man a fire and he's warm for a day, but set him on fire and he's warm for the rest of his life.
Usually you would want to authenticate the user, not the cryptographic equipment in case it gets stolen, or otherwise accessed by the black hats; and that requires a password and/or a biometric or something.
-WolfWithoutAClause
"Gravity is only a theory, not a fact!"My question is, how do you know that the intended recipient is getting the key, and not someone else?
"Destroy science and religion. Science would re-emerge exactly the same; but not religion." - Penn Jillette, paraphrased
Philip K Dick didn't write Blade Runner.
Well, he wrote "Do Androids dream of Electric Sheep", which Blade Runner was based on. Happy now?
Nope.
Blade Runner wasn't based on "Do Androids Dream of Electric Sheep?" The MOVIE CALLED "Blade Runner" was based on ""Do Androids Dream of Electric Sheep?"
This is not a silly quibble. Blade Runner was a completely different book (By Alan E. Nourse, if I recall correctly). It's about a future dystopia where medical care is banned (in a misguided attempt to breed out dangerous recessives), except for people who have been sterilized. A very fatal Flu is circulating. There's a vaccine, but because you can't get it unless you volunteer for sterilization you're about to have a situation where all the surviving humans are sterile. One lead character is a "Blade Runner" - a surgical tool bootlegger for an illegal surgeon.
The makers of the movie version of "Do Androids dream of Electric Sheep" blatantly ripped off the name of the unrelated book - apparently because it sounded cool. Nothing in the movie is in any way related to blades or the book with the same title.
So the media empire strikes again, shafting TWO authors for the price of one.
Bantam Dominique roosters crow a four-note song. Once you've heard it as "Happy BIRTHday" you can't NOT hear it that way
This is outside the scope of quantum cryptography. But of course it is still of interest. There are two different aproaches to solve this problem:
Do you care about the security of your wireless mouse?
Not that you should believe everything you read on the Interweb (especially on geocities), but this site begs to differ.
" What is really special is that Eve will not be able to eavesdrop on the message without alerting Alice and Bob. This is again a result of the Heisenberg Uncertainty Principle. If Eve is to measure the photons sent by Alice, she must use a filter, thereby polarizing the photon. As a result of the Heisenberg Uncertainty Principle, 25% of the photons measured by Eve will be totally blocked and will not reach Bob. Alice and Bob will quickly notice this after several occurences and know their message has been corrupted. Thus, quantum cryptography gauruntees complete secrecy."
I think we're both talking about the same thing. The reason your snooping changes the message is because of the Heisenberg Uncertainty Principle.
www.timcoleman.com is a total waste of your time. Never go there.
Well, except för one time pads.
They are always secure.
Just saying it like it are.
Try this phrasing: Until the laws of physics are (better understood|clarified). Or: Until our understanding of the universe improves.
#define X(x,y) x##y
Peter Cordes ; e-mail: X(peter@cordes ,