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Quantum Cryptography: 100km Barrier Broken

jdfox writes "Toshiba Research Europe have just demonstrated quantum crypto over 100km fibre links. Sounds like there's still a fair bit of work to be done before it leaves the lab, but it's amazing that they've got as far as they have. There's another article about it, though still not much technical detail, here on the BBC and here on The Register."

42 of 194 comments (clear)

  1. That's a big lab! by Anonymous Coward · · Score: 5, Funny

    >100km fibre links...there's still a fair bit of work to be done before it leaves the lab

    That must be a big lab! Or maybe they had 100km of fibre and they just looped it round and round and round. ;)

    1. Re:That's a big lab! by FPCat · · Score: 3, Informative

      That's how it's done in the labs of Fiber Optic equipment vendors!

    2. Re:That's a big lab! by mrand · · Score: 5, Informative

      > That must be a big lab! Or maybe they had 100km of fibre
      > and they just looped it round and round and round. ;)

      Fiber without the colored "protective insulation" takes up surprisingly little space, and weighs next to nothing. 100km of fiber could be picked up by with one hand if mounted on single spool.

      In our lab, we have four fiber spools (two 20km and two 40km) that can be connected together to create various distances. Each is mounted in a plastic case that is about a foot in diameter and 4 inches wide.

      --
      -- PGP keyID: 0x4C95994D
  2. What is so good about it.. by Gortbusters.org · · Score: 5, Informative

    Communication with quantum cryptography is inherently secure because it takes advantage of the physical properties of single photons. In the technique, each transmitted bit of a cryptographic key is encoded upon a single photon.

    The sender and recipient each have a key to decode the photon stream, but any attempt to hack into the link and capture the key is doomed to failure as it alters the quantum state of the intercepted photons. These changes are easily detectable, revealing the presence of the hacker.

    --
    --------
    Free your mind.
    1. Re:What is so good about it.. by jetmarc · · Score: 2, Interesting

      > Haven't they already got the information at that point?

      What you can do to prevent this is the following:

      1. select a random key
      2. transmit the random key to your partner
      3. check if the transmission has been tapped by an attacker. if yes, go back to 1.

      4. encrypt all following data with the key (which is not known to the attacker)

      The transmission is as secure as the weakest of the following items:

      - encryption algorithm
      - random key selection process
      - "check if tapped" procedure (that quantum stuff)

      The chain is only as strong as its weakest link.

      Marc

  3. assumptions by Photon01 · · Score: 4, Insightful

    From the Register article:

    Ultimately, quantum cryptography seeks to deliver a method of communication whose secrecy does not depend upon any assumptions.

    Dosent quantum cryptography depend on the assumption that it is impossible to copy this stream of encoded photons without leaving a trace?

    1. Re:assumptions by djpig · · Score: 4, Insightful

      Hmm, physical laws are actually not facts...

      They are more best explanations for which no counterevidence exists yet or explanations that describe the problem as good as needed

    2. Re:assumptions by BlueWonder · · Score: 4, Interesting
      Dosent quantum cryptography depend on the assumption that it is impossible to copy this stream of encoded photons without leaving a trace?

      Yes. However, quantum mechanics is an extremely well-established theory.

      As a physicist, I'm reluctant to call anything a fact. However, just because I cannot prove that (say) gravity won't cease to exist tomorrow morning, doesn't mean I live under the constant fear that this might in fact happen. Much in the same way, I'm confident that nothing is wrong with quantum mechanics.

    3. Re:assumptions by dunkstr · · Score: 2, Interesting

      Well it only relies on the assumption that Quantum Mechanics as we know it is a valid theory. The "no-cloning theorem" proves mathematically (from first principles in QM) that you can't duplicate a quantum-bit without destroying the original.

      So called "noisy-cloning" techniques exist, but they would be detectable in any decent quantum-crypto technique. I imagine the only way you could intercept the signal is to find a heretofore unknown theory that supersedes QM somehow (which the brightest minds have been working on for 70+ years).

    4. Re:assumptions by Beryllium+Sphere(tm) · · Score: 2, Interesting

      It depends on the assumption that you're actually getting all the protection that the physics promises.

      Bluewonder did a good job of explaining how reliable the physics is, but any security geek will look for ways to change the problem to one where the theory doesn't apply any more.

      I once had the privilege of attending a talk by Shamir in which he mentioned in passing a detectable but terribly simple attack on quantum key exchange. Mallory simply shines a bright light pulse backwards onto the transmitter. The transmitter is made of real material and has, accidentally, some nonzero reflectance. Mallory looks at the echo and knows the state of the polarizer. Mallory shuts off the eavesdropping equipment and lets the next theoretically untappable single photon go by unobserved and unmolested.

      The pulse can be brief, and "bright" just means bright enough that a detectable echo comes back, so it could be on the order of a hundred photons.

      I felt like bowing down to Shamir in admiration.

  4. article by CowBovNeal · · Score: 2, Informative

    At the CLEO in Baltimore, researchers describe a record-breaking âunhackableâ(TM) link.

    UK researchers have broken the distance record for quantum cryptography, the optical technique that enables âunhackableâ(TM) communication along an optical fiber.

    Andrew Shields and colleagues from Toshiba Research Europe, UK, revealed their record-breaking link, which reaches over 100 km, at the Conference on Lasers and Electro-Optics (CLEO) in Baltimore, US.

    âoeAs far as we are aware, this is the first demonstration of quantum cryptography over fibers longer than 100 km,â said Shields. âoeThe technique could be deployed in a wide range of commercial situations in less than three years.â

    Communication with quantum cryptography is inherently secure because it takes advantage of the physical properties of single photons. In the technique, each transmitted bit of a cryptographic key is encoded upon a single photon.

    The sender and recipient each have a key to decode the photon stream, but any attempt to hack into the link and capture the key is doomed to failure as it alters the quantum state of the intercepted photons. These changes are easily detectable, revealing the presence of the hacker.

    In practice, attenuation in the optical fiber and noise in the detection unit limits the distance over which quantum cryptography works.

    The Toshiba team was able to improve the link distance thanks to an ultra-low noise detector, which detects single photons. This detector is based on a GaAs/AlGaAs modulation doped field effect transistor (MODFET), which does not rely on avalanche processes and is therefore less prone to noise than conventional devices (see related story).

    The previous transmission record of 87 km was set by researchers from the Japanese company Mitsubishi Electric in November last year. They also developed a novel kind of detector, which had a low dark-count probability, to extend the link distance.

    Banks and government organizations are expected to be the first users of quantum cryptography systems when they become commercially available.

    Author
    Michael Hatcher is technology editor of Opto & Laser Europe magazine.

    --
    Bush is on fire and its not good for my lungs.
  5. put in a repeater by Thinkit3 · · Score: 2, Interesting

    Sample the photons and generate new ones of the same type. Well I know I'm just another /.er commenting on math and physics matters knowing barely anything about it, but couldn't it work?

    --
    -Libertarian secular transhumanist
    1. Re:put in a repeater by Qzukk · · Score: 3, Interesting

      I'm not sure whether this would work or not (since you reading the photon is what changes its spec... you'd be reading the new version of the photon, I'd think and would need the original key to put it back the way it was...)

      But without pretty spiffy splicing techniques, how long do you think it would take to get that repeater inserted into a fibre link? When I was in college, a friend of mine got a job fusing splices in fibre optic lines with a special machine, and it still took him several minutes per splice once he got good with it. The other end is going to know something's up when the fibre goes dark for more than a few ms...

      --
      If I have been able to see further than others, it is because I bought a pair of binoculars.
    2. Re:put in a repeater by aliens · · Score: 5, Informative

      If I remember my research correctly, you can't sample the photons without changing their state. Thus it's not possible to generate new ones. If it were possible the entire idea would goto shit as a man in the middle could just intercept everything and regenerate new ones without being caught.

      --
      -- taking over the world, we are.
    3. Re:put in a repeater by Hanji · · Score: 4, Informative

      As I understand it (and I may be completely wrong), you can't, because it's impossible to actually measure the photons exactly - you can only gain knowledge about certain characteristics of them, in a process which irreversibly alters their states. This is (part of) what makes it impossible to listen in on a quantum transmission undetectably.

      Think about it - if this were possible, an unwanted listener on the line could sample the stream, and then generate two streams - one back along the line, and one into his own recorder. Since quantum communication apparently makes this impossible, the answer should be no, whether or not my understanding of the situation is exactly correct.

      --
      A Minesweeper clone that doesn't suck
    4. Re:put in a repeater by Yarn · · Score: 3, Informative

      You can't measure the exact polarisation of a photon. The photon always either passes or doesn't pass. As you can't measure it, you can't duplicate it.

      When A & B communicate A first sends the stream of photons using two types of polarisation (typically horizontal/vertical-linear and left/right-circular), and B measures randomly in the two different schemes. When the polarisation is measured in the wrong scheme the outcome is random.

      The trick is that A & B now communicate over an insecure circuit and agree to throw away data where B was using the wrong scheme. They now have a clean stream of bits to use as a one time key over their insecure circuit.

      --
      -Yarn - Rio Karma: Excellent
    5. Re:put in a repeater by Yarn · · Score: 2, Interesting

      I forgot the mention the eavesdropper, E. S/he doesn't know which schemes are in use, and she can't validate her scheme with the sender, so her data's useless. It also interferes with the stream such that the interference can be detected statistically.

      Slashdot doesn't allow me to post the maths, but I'm sure you can google for it.

      --
      -Yarn - Rio Karma: Excellent
    6. Re:put in a repeater by jetmarc · · Score: 4, Informative

      > Sample the photons and generate new ones of the same type.

      You can't.

      The sender assigns two bits of information to each photon. However, you can only
      measure one. This is similar to the Heisenbarg relation of uncertainity, where
      you can EITHER measure the position OR the impulse of an electron.

      The sender generates a long stream of random information. The receiver reads
      in either way, according to (other) random. An attacker would not know in which
      way the receiver has read the information. However, if the attacker has read
      the photons himself, he has destroyed every other bit. Thus, about 50% of the
      bits that the receiver gets, are wrong. This is easy to detect.

      As a result, you can't passively tap such a communication line. The only thing
      you can do, is to impersonate the receiver, so that the sender communicates
      (untapped) with the attacker. The attacker could then establish a second (also
      untapped) channel to the original receiver, and relay all data back and forth
      on the logical level.

      This is called a man-in-the-middle attack, and works for many crypto systems,
      not just quantum.

      There are crypto protocols that try to prohibit this attack. PGP for example
      relies on the "web of trust" with signed public keys. HTTPS/SSL uses CA's
      who sign certificates.

      The quantum communication channel does not solve this problem. It solves another
      problem: it enforces that the channel can not be tapped without being noticed.

      Marc

    7. Re:put in a repeater by jetmarc · · Score: 2, Informative

      > I forgot the mention the eavesdropper, E. S/he doesn't know which schemes are
      > in use, and she can't validate her scheme with the sender, so her data's useless.

      The point is that, after the data has been transmitted to B, B will announce
      "I have read bit 0 with method #2, bit 1 with method #2, bit 2 with method #1" etc.
      A then knows what information B has. The attacker E doesn't. She knows only
      those bits where she (luckily) read the bits with the same method as B.

      Statistically, she knows only 50% of the information that B knows.

      She would know 100% if she would announce back to A how SHE has read the bits.
      But then B would not know the secret, and thus is not able to receive data from A
      (when it is encrypted under the secret key).

  6. It Still Isn't Out of the Lab? by Schlemphfer · · Score: 3, Funny
    From the summary:


    Toshiba Research Europe have just demonstrated quantum crypto over 100km fibre links. Sounds like there's still a fair bit of work to be done before it leaves the lab...


    How could it not have left the lab? Is Toshiba's lab 100KM long? That's a pretty huge lab!

    --
    I'm generally "Interesting," "Insightful," and even "Funny" here. What the hell happens to me at parties?
  7. Awesome! by HornyBastard77 · · Score: 4, Funny

    Imagine, all you will need for you own photon ray gun/torpedo is a network cable with signal. Looks like the geek shall inherit the earth after all.

  8. a bit unprecise ... by Anonymous Coward · · Score: 5, Informative

    In the technique, each transmitted bit of a cryptographic key is encoded upon a single photon.

    Actually it is not completely true, you cannot guarantee that you send out a single photon. Indeed, you don't. You try to approximate a single photon source by using weak laser pulses, but this does not mean you always send out a single photon (sometimes you send out more, sometimes you do not send out any at all). But every security proof consider the fact that you are able to send single photons (which is highly not trivial)

    Actually this fact makes most implementations of quantum crypto protocols insecure to a class of attacks (PNS), even though they would take place in a very unrealistic framework (but you have to consider them).

  9. The US Gov is going to LOOOVE this! by Eric_Cartman_South_P · · Score: 2, Insightful
    If the US(TM) Government(R) goes ape shit over the fact that its citizens can use 128bit encryption, what are they going to do about unhackable photons!

    This is great news for privacy. Sure, if Scully and Mulder want your box, they put a camera in your house, sniff the keyboard for the pw, or just take it via a warrent issued from a Judge who stamps his approval on anything that involves encryption and terrorism.

    Overall, great for privacy. I sure as hell want Citibank using this on all their ATMs, Visa on the card readers, etc.

    1. Re:The US Gov is going to LOOOVE this! by jez9999 · · Score: 3, Insightful

      Actually, I think this means fuck all for the individual citizen's privacy. As it requires an unbroken fibre all the way from party A to party B, it would indeed only be appropriate for things like banks to use. Big deal. Think the government wants to spy on the minutia of your bank account? Think that, if they did, they'd have to hack the bank's network to do so, rather than just requiring it in law?

      Where it may have helped is over something like the internet... if an 'unhackable' transport method could be developed, privacy would greatly be benefitted. But as the internet inherently requires data streams to be intercepted and forwarded, usually many times over, this method will do nothing to help regular privacy.

  10. interceptable, but interception always detectable? by perc · · Score: 2, Interesting

    IANAQP, but it seems that if the intended receiver can decode the photons, any person in the middle could also decode the same photons and retrieve the message.

    The key point here is that by observing them, the person in the middle changes their quantum state, thus making it immediately obvious to the intended receiver that the channel is insecure. So depending on the delay between the receiver determining this, and indicating to the sender to halt transmission, someone could still capture at least some data.

    Or do I just have no clue what I'm talking about?

    As the poster noted, light on the technical details... what are the error rates? is there any chance that their could be accidental quantum state changes, especially given that single photon transmission is really just *average* single photon transmission (sometimes more, sometimes none?)

    Anyone that has a clue care to enlighten?

  11. fabric of reality by jest3r · · Score: 5, Interesting

    I was re-reading the Fabric of Reality (David Deutsch) ... which essentially covers Quantum interference / computing (with the arguement that Quantum computing is a result of multiple universes coming together and interfereing with one another) ... In any case this may be a little bit off topic ... but the book echos 'The Matrix Reloaded' in many ways ... Deutsch describes an 'Oracle' who knows everything ... A Virtual Reality machine that interfaces with the brain (even a picture that looks like something out of the Matrix) ... a multiverse (worlds within worlds etc..) ... and a Universal Virtual Reality Generator that can essentially recreate the environment we live in ... in real time. This book pre-dates the original Matrix by a year.

  12. you can even buy this ... by Anonymous Coward · · Score: 2, Informative

    These guys in Switzerland even sell devices to do quantum crypto.

  13. Re:I can't believe it... by FunWithHeadlines · · Score: 2, Informative
    "Yes, I'm not familiar with this subject, but I just can't accept the idea that something may acutally be unbreakable."

    It's not that the message itself is unbreakable, it's the overall system and process that is unbreakable. The great thing about quantum cryptography is that if anyone does intercept and read your message somehow, you can see with complete certainty that it happened. That's the nature of quantum physics -- things change when observed. So if you don't get what you expected, you know the message has been compromised. From the BBC article:

    "With quantum cryptography, the very act of intercepting a single photon on its way down an optical fibre would change the information it was carrying. "

    Which cryptography would you prefer? One where you can never be sure if someone has cracked the code before it got to you, or one where if that happened you could tell immediately?

    -------------

  14. Re:interceptable, but interception always detectab by eet23 · · Score: 4, Informative

    You don't send the message via the quantum method - all you are sending is the key for a one-time pad cipher. If it's intercepted, you don't use that key, you generate a new one and try to send it again.

  15. Key Distribution by Luk+Fugl · · Score: 5, Informative
    A description of quantum cryptography resides at Dartmouth (http://www.cs.dartmouth.edu/~jford/crypto.html). The real advantage of quantum cryptography is in the generation of a secret key for use in secret-key encryption (128- or 256-bit or whatever). From the above mentioned site:

    "In secret-key encryption, a k-bit ``secret key'' is shared by two users, who use it to transform plaintext inputs to an encoded cipher. . . A key of 128 bits used for encoding results in a key space of two to the 128th (or about ten to the 38th power). Assuming that brute force, along with some parallelism, is employed, the encrypted message should be safe: a billion computers doing a billion operations per second would require a trillion years to decrypt it. . .

    "The main practical problem with secret-key encryption is determining a secret key. . . A possible solution is to agree on a key at the time of communication, but this is problematic: if a secure key hasn't been established, it is difficult to come up with one in a way that foils eavesdroppers. In the cryptography literature this is referred to as the key distribution problem. . .

    "Quantum encryption provides a way of agreeing on a secret key . . ."

    Through the use of random quantum polarizations of the photons and public (unencrypted) discussion of these measurements and their accuracy, the two communicants can determine a shared secret key without an eavesdropper knowing the same info. They then use this key to do standard encryption. A demo of this process can be found here (http://www.cs.dartmouth.edu/~jford/crypto.html).
  16. Re:Sounds like the press hasn't thought this throu by jfern · · Score: 4, Informative

    A quantum state on a single qubit looks like this:

    a|0> + b|1>,

    where |0> and |1> are vectors, and a and b are complex numbers, and the total vector has a magnitude of 1. When we measure the state, it collapses into the |0> vector with probability |a|^2 and into the |1> vector with probability |b|^2. And of course |a|^2 + |b|^2 = 1.

    So the hacker won't know what the arbitrary quantum state was. Observing the photon destroys the original state.

  17. An important note by jfern · · Score: 3, Interesting

    If there are several photons in the same arbitrary state, you can by measuring the qubits in different basis each time, come up with an approximation to the actual quantum state. If there are a 1000 of these photons, then basically we aren't gaining anything by having our information in Quantum form. So you want to avoid sending many duplicate photons for many of the states that you are sending.

  18. Simple... by rmdyer · · Score: 2, Informative

    You can't observe a photon without absorbing it. Once you've observed it, you've destroyed it. Atoms exchange energy by absorption and re-emission. The photon is either absorbed, or not, there's no in between. It's like binary.

  19. No use for anything real by avorpa · · Score: 2, Insightful

    I know quantum encryption is supposed to be the next big thing in cryptography, and make up for all the damage that quantum computers are supposed to do, but I just don't see it. Who has fibre all the way from them to their friend?

    And encrypting each hop from me to my friend seems to hardly help at all. Now instead of the evesdropper being able to put a probe on any of the wires, they have to break into one of the routers. But really, who ever heard of someone stealing credit card numbers by digging up cables and putting a probe on them?

    And besides, this still doesn't solve the authentication issue. You still need to be confident that the person at the other end is who you think they are. And it seems that solving that is at least as hard as doing the encryption once you know who you're talking to. Specifically, it seems likely that quantum computers will break all our current authentication schemes, but we have no reason to believe that they will break our symmetric ciphers. So even for people with fibre all the way to their friend, a provably secure symmetric cipher replacement is not very useful just yet.

  20. Re:Sounds like the press hasn't thought this throu by Ryan+Amos · · Score: 3, Insightful

    Barring what the other poster said, you can also predict transmission times over fiber VERY accurately. Any time spent processing the photon information to create a new photon to retransmit would be longer than the total transmission time. This would be easily detected.

    I have another interesting question though.. Would it be possible to combine this with the "laser teleportation" technology demonstrated earlier this year to have a REALLY secure wireless link? If so, 30 years from now, all communications might be so secure that we wouldn't have to worry about eavesdroppers.

  21. the message that they sent was: by jjeffries · · Score: 2, Funny

    "now we are sure -- the cat is dead"

  22. well by Trepidity · · Score: 2, Interesting

    You should probably be confident that something is wrong with quantum mechanics. Being confident that it's 100% correct would be like being confident 300 years ago that Newtonian mechanics was 100% correct. There's always something that turns out to be wrong.

    1. Re:well by BlueWonder · · Score: 3, Informative

      Newtonian mechanics is still correct - in the limit of small velocities (compared to the speed of light). Relativity hasn't invalidated Newtonian mechanics, but shown that it (Newtonian mechanics) is a special case in a more general theory.

      I don't assume that quantum mechanics is the ultimate theory; in fact, it isn't today (think quantum field theories). But I do assume that any (existing or future) theory cannot contradict quantum mechanics, but must contain it as a special case.

  23. Re:Sounds like the press hasn't thought this throu by Peaker · · Score: 3, Interesting

    (This may be inaccurate as I'm recalling it from what I read in Simon Singh's "The Code Book", but I hope it explains the point.)

    The idea is that you can measure the photons with only partial accuracy, and according to the setting of the measuring instrument. For example, if sending a photon in state Y, the measurement does not yield: "The photon was in state Y", but instead "The photon was probably in state X but maybe in state Y or Z, and not in state W.". Another measurement configuration could yield: "The photon was probably in state Y but maybe in state X or W, and not in state Z."
    The "hacker" does not know the measurement configuration at the receiver and may try some arbitrary configuration of his own.

    The problem is, when receiving the measurement result, for example that the photon was probably in state X, trying to retransmit it as X may be picked up as inconsistent at the real receiver's.

    The measurement configuration itself for each bit can be agreed upon by a negotiation stage where a bitstream is sent accross random configurations of both the sender and receiver and then publically agreeing which bits of the sequence to use (knowing they have matching configurations, not letting a "hacker" enough information to know what configurations those are - leaving him with impossible guesswork).

  24. This brings up the question by mindstrm · · Score: 2, Interesting

    Why was 100km a barrier in the first place?
    Or is this just the first time someone bothered to try this over the distance in question.

  25. Re:Sounds like the press hasn't thought this throu by wirelessbuzzers · · Score: 2, Interesting

    If so, 30 years from now, all communications might be so secure that we wouldn't have to worry about eavesdroppers

    Nope. I mean, it wouldn't be so expensive today to encrypt point-to-point links with a stream cipher. But the problem is, it has to go through a router at some point. And you just have to put a bug in the router, have it copying traffic... this stuff is multi-stage, there's no way you could tell if the router were hacked/bugged from the timing.

    I think if you're going to fantasize about a future with no eavesdroppers, you may as well fantasize about IPSec.

    --
    I hereby place the above post in the public domain.
  26. If I've got this right ..... by ajs318 · · Score: 2, Interesting
    PGP-type encryption:
    1. P(x) is a function representing a public key, where x is a message and P(x) is the encrypted form of that message using key P().
    2. Analogously, S(x)is a function representing a secret key.
    3. P and S are chosen so that P(S(x)) == S(P(x)) == x.
    4. The general case of S(x) cannot easily be determined by inspection of P(x).
    5. Each person's secret key S is known only to themself, but their public key P is disseminated.
    6. Alice encrypts a message to Bob by sending Pbob(x). Bob evaluates Sbob(Pbob(x)) to determine x. No-one can intercept this message without knowing Sbob(), and see (4) above.
    7. Alice signs a message to Bob by sending Salice(x). Bob evaluates Palice(Salice(x)) to verify that the sender is Alice. No-one can fake this message without knowing Salice(), and see (4) above.
    This breaks down at (4). We know from (3) that P(x) is not singular, and the inverse function P-1(x) is mathematically equivalent to S(x). The trick is in generating function-inverse pairs where the derivation of the inverse from first principles would require an extraordinary amount of computations, or in performing many, many computations in as short a time as possible, depending on which side of the fence you are on.

    Current schemes involve basically raising numbers to powers, ensuring that the greatest change occurs in the low-order digits and using modulo p arithemetic {think of a clock face numbered from 1 to p} to keep the numbers manageable. Recall that (x ** a) ** b .eq. x ** (a * b). For some values of a, b, p, we will get x ** (a * b) .eq. n * p + x.; in other words, (x ** (a * b)) % p .eq. x. Now P(x) = x ** a and S(x) = x ** b. Knowing b we need p to find out a, and getting hold of p is the bit involves many, many calculations.

    Quantum Cryptography:
    1. Alice sends photon stream to Bob.
    2. Some of Alice's photons fizzle out into nothing and don't make it as far as Bob.
    3. Eve intercepts some of Alice's photons.
    4. Every photon that Eve received will not be received by Bob.
    5. Bob has to compare what he received with what Alice sent in order to work out which photons went missing.
    6. Any information that Alice sent but Bob didn't receive is ignored.
    7. Alice and Bob now have two identical lists of zeros and ones, which can be used as an encryption key.
    For me, this breaks down at (5). If Alice and Bob have to compare their notes somehow, then this is the weak point. It still requires some communication channel, which is susceptible to hi-jacking. If they discuss the sequences over a conventional phone line, it could be tapped. If they have to actually meet, why doesn't Alice just give her encryption key to Bob there and then?

    Or have I got this whole thing completely cocked up? If so can someone point out where?
    --
    Je fume. Tu fumes. Nous fûmes!