Perfect quantum network communication protocol based on classical network coding

Abstract

This paper considers a problem of quantum communication between parties that are connected through a network of quantum channels. The model in this paper assumes that there is no prior entanglement shared among any of the parties, but that classical communication is free. The task is to perfectly transfer an unknown quantum state from a source subsystem to a target subsystem, where both source and target are formed by ordered sets of some of the nodes. It is proved that a lower bound of the rate at which this quantum communication task is possible is given by the classical min-cut max-flow theorem of network coding, where the capacities in question are the quantum capacities of the edges of the network.

Efficient Quantum Transmission in Multiple-Source Networks

“…Unlike the entanglement quantization of a classical channel910111213141516, it may be quantized with a continuous physical channel2627282930313233343536, and the transmission information may be quantized with quantized electromagnetic fields of identical frequencies. To distinguish the decoded quantum states for different nodes, special phase-shift operations may be designed to index different incoming quantum states, using phase shifters [coupling the optical fields to driven Duffing oscillators] or gauge transformations33.…”

The Impact of Quantum Phenomena on the Complexity of Communication Systems

“…Th e one time pad (based on Vernam cipher) offers unconditional security [9]. Th e main drawback of this method is that all the parties exchanging secret information should be aware of a secret sequence of random numbers, i.e.…”

“…Once a secure distribution of keys has been established, one can use (indisputedly secure) code Vernam [9] which provides absolute security. Th is has a huge advantage as it eliminates the risk built in the systems based on the security of current commercial cryptographic solutions (which are based on the computational complexity and which have been proven to lose their security due to unpredicted development in hardware and algorithms).…”

Quantum MIMO Communication Scheme Based on Quantum Teleportation with Triplet States

“…Because quantum signals are teleportated with triplet states, the most possible attack is the attack on the entangled state [36,37] |R S i described in (7). Assume Eve can entangle her ancilla system [38] with |R S i which can be simplified as…”