# Quantum Cryptography

The **uncertainty principle** of quantum physics builds the earliest foundations for quantum cryptography. With quantum computers of future being expected to solve discrete logarithmic problem and the popularly know cryptography methods such as AES, RSA, DES, quantum cryptography becomes the foreseen solution. In practice it is used to establish a shared, secret and random sequence of bits to communicate between two system let’s say Alice and Bob. This is known as **Quantum Key Distribution**. After this key is shared between Alice and Bob, further exchange of information can take place through known cryptographic strategies.

** Based On Heisenberg’s Uncertainty Principle:**

**BB84 and variants –**

A single photon pulse is passed through a polarizer .Alice can use a particular polarizer to polarize a single photon pulse and encode binary value bits to outcome of a particular type (vertical, horizontal, circular etc) of polarizer. On receiving the photon beam, Bob would guess the polarizer and Bob can thus match the cases with Alice and know the correctness of his guesses. If Eve would have been trying to decode then due to poarization by Eve’s polarizer would have caused discrepencies in match cases of Bob and Alice and thus they would know about eavesdropping. Thus in such a system if Eve tries to eavesdrop it will get into notice of Alice and Bob.

- The B92 protocol has only two polarization states unlike four in original BB84.
- BB84 has similar protocol SSP that uses 6 states to encode the bits.
- SARG04 is another protocol that uses attenuated lasers and provides better result than BB84 in more than one photon syetems.

**Based On Quantum Entanglement:**

**E91 and Variants –**

There is a single source that emits a pair of entangled photons with Alice and Bob receiving each particle. Similar to BB84 scheme Alice and Bob would exchange encoded bits and match cases for each photon transferred. But in this scenario the outcome of results of match cases of Alice and Bob will be opposite as a consequence of Entanglement principle. Either of them will have complement bits in bit strings interpreted. One of them can then invert bits to agree upon a key. Since Bell’s Inequality should not hold for entagled particles thus this test can confirm absence of eavesdropper. Since practically it is not possible to have a third photon in entanglement with energy levels sufficient for non detect ability, thus this system is fully secure.

- SARG04 and SSP protocol models can be extended to Entangled particles theory.

**Possible Attacks In Quantum Cryptography:**

**Photon Number Splitting (PNS) Attack –**

Since it is not possible to send a single photon thus a pulse is sent. Some of the photons from a pulse can be captured by Eve and after matching of bits by Alice and Bob, Eve can use the same polarizer as done by Bob and thus get the key without being detected.**Faked-State Attack –**

Eve uses a replica of Bob’s photon detector and thus captures the photons intended for Bob and further passed it to Bob. Though Eve knows about the encoded bit, Bob thinks that he received it from Alice.

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