Quantum Teleportation and Non-Local Data Fidelity

Could a non-local quantum internet ever really be possible?

Of all of the unexpected repercussions to come out of the so-called "spooky action at a distance" effects of the Bell effect and its corresponding EPR paradox, perhaps the most intriguing is the application of entanglement to the problem of cryptography and information theory. While it is well-known a qubit in an entangled state will cause a spontaneous, simultaneous state collapse if a "measurement" or expectation value is taken by its corresponding entangled partner, the mechanism of this information transfer is often not considered directly.

Herein we find a most interesting problem, as this apparent faster-than-light state collapse also preserves EXACT information in terms of a dual-partner relationship between entangled pairs. The most trivial case of such an example would be in the case of a single pair of entangled qubits, which are normalised according to the Hadamard basis. Since the number of possible values attained by any individual qubit upon collapse is finite, and since the values stored in each qubit are in fact analogous to classical bits, it becomes possible to make very exact transmissions of state transformations communicable in terms of permutations of these qubits. In the event that these qubits are separated by seemingly endless stretches of space, we can still apply quantum gate operations which non-destructively alter the data in the entangled qubit pairs predictably. Thus, the trivial application of a single entangled pair of qubits reveals itself to be a remarkable sublime feature of this so-called "spooky" distant action.

To emphasise the importance of this effect to a slightly more futuristic application, we could envision something of a quantum internet in which secure connections between client and server applications are made via manipulations of multi-qubits systems, using control gates which operate only upon specific values of the vector, which could potentially allow for a non-destructive transformation of coordinates which could be interpreted by a classical unix based machine as ordinary TCP/IP or HTTP tunnelling methods. Of course, this is but a fantasy for now.

Nevertheless, even in the most trivial case: the application of teleportation to cryptography and quantum information theory is both a fascinating and potentially world transforming effect, should the technology to embrace such a revelation ever be fully developed in our time.

While quantum teleportation does not allow for the direct transformation in terms of faster-than-light communication, as a consequence of special relativity, it demonstrates a seeming non-local transformation of imaginary coordinate vectors. While direct applications of the observation of either state will irrevocably collapse the other, this permits specific transference of intelligible state information to be instantly propagated. An interesting observation may be the analogy of Zeno's paradox to the problem of apparent simultaneous state collapse, in terms of steady-state of coherent information transmission. In a pre-collapsed quantum superimposition of multi-qubit state vectors in which coordinate transformations are used, a potential application to "broadcasting" coherent information as bulk deliveries of cryptographic hashed data structures decodable in terms of classical bits. Just a thought!