Quantum communication on closed time-like curves: A Protocol for exchanging, protecting and storing qubit states
Ian T. Durham · 2008
We describe a weaker consistency condition for qubits on closed time-like curves (CTCs) and define a new quantity we call a ctcbit that provides a means for quantifying a qubit on CTC as a shared resource. We describe a simple protocol for the sharing of information that is similar to quantum teleportation but does not require an entangled particle pair or ebit. The nature of CTCs also serves as a way to protect a qubit state. While there is the appearance that the given resource is free, we employ a non-Hausdorff topology to prevent any limitless information exchanges. While the reality of CTCs is highly speculative, the present paper provides a manner by which quantum informational methods may be employed to study such problems and may ultimately prove useful in studying quantum gravity.