Quantum Communication Complexity (A Survey)
arXiv:quant-ph/0101005
Abstract
Can quantum communication be more efficient than its classical counterpart? Holevo's theorem rules out the possibility of communicating more than n bits of classical information by the transmission of n quantum bits --- unless the two parties are entangled, in which case twice as many classical bits can be communicated but no more. In apparent contradiction, there are distributed computational tasks for which quantum communication cannot be simulated efficiently by classical means. In extreme cases, the effect of transmitting quantum bits cannot be achieved classically short of transmitting an exponentially larger number of bits. In a similar vein, can entanglement be used to save on classical communication? It is well known that entanglement on its own is useless for the transmission of information. Yet, there are distributed tasks that cannot be accomplished at all in a classical world when communication is not allowed, but that become possible if the non-communicating parties share prior entanglement. This leads to the question of how expensive it is, in terms of classical communication, to provide an exact simulation of the spooky power of entanglement.
arXiv comment16 pages, LaTeX, no figures. Survey paper
References in corpus (8)
- Quantum Mechanics helps in searching for a needle in a haystack
- Substituting Quantum Entanglement for Communication
- The cost of exactly simulating quantum entanglement with classical communication
- Quantum Entanglement and Communication Complexity
- Multiparty Quantum Communication Complexity
- Classical simulation of quantum entanglement without local hidden variables
- Classical Teleportation of a Quantum Bit
- Quantum Entanglement and the Communication Complexity of the Inner Product Function