Frontiers of quantum physics

Abstract:

A variable length quantum data compression scheme was outlined. By looking at quantum data compression in the second quantization framework, one can generate variable length codes in a natural and efficient manner without having the significant memory overhead common to other variable length schemes. By sending the total length of the transmitted signal through a classical channel enables to compress and decompress with perfect fidelity for any number of qubits.

Abstract:

We present an idealized model involving interacting quantum dots that can support both the dynamical and geometrical forms of quantum computation. We show that by employing a structure similar to the one used in the Aharonov-Bohm effect we can construct a topological two-qubit phase-gate that is to a large degree independent of the exact values of the control parameters and therefore resilient to control errors. The main components of the set-up are realizable with present technology.