Quantum Identification bits, Alphabits and Quantum Teleportation
Specialeforsvar: David Simon Dechant
Titel: Quantum Identification bits, Alphabits and Quantum Teleportation
Abstract: Quantum error correction plays an essential role in the field of quantum information theory. The application of quantum information processing instruments are vulnerable to the loss of information to the environment, which makes
error correcting procedures indispensable for the success of those instruments. Additionally to the quest for implementations of quantum error correction procedures, scientists have investigated a variety of abstract notions of quantum error correction. Patrick Hayden and Geoffrey Penington used a specific version of approximate quantum error correction, in an asymptotic way, to define a resource of communication, the alphabit. A special form of it, the zerobit, can be used in a surprising way. For example, one can create an asymptotic version of quantum teleportation, simulating the sending of a qubit by using two zerobits and an ebit, which is reversible as well: asymptotically sending a qubit simulates two zerobits and an ebit. In this thesis, we will exploit the concept of quantum identification, which is a version of approximate quantum error correction similar to the notion, on which alphabits are based. We will design a resource by the asymptotic use of quantum identification, which we call the quantum identification bit. As shown for the zerobit, we develop quantum teleportation in an asymptotic setting, which allows for reversibility, using these quantum identification bits. Finally, we compare them to the resources zerobit and classical bit.
Vejledere: Christoph Hirche og Matthias Christandl
Censor: Jonas Schou Neergaard-Nielsen, DTU