Coherent Processing of a Qubit Using One Squeezed State

TL;DR

This paper demonstrates a method to coherently process a qubit using a single squeezed state, employing a deconvolution picture to restore coherence lost due to environmental noise.

Contribution

It introduces a novel approach of representing and processing a qubit with a single squeezed state within a deconvolution framework, enabling noise resilience.

Findings

Coherent qubit processing achieved with a single squeezed state.

Impurity filter operator restores coherence in noisy environments.

Quadratic dissipative equations govern the basis evolution of squeezed states.

Abstract

We use a single squeezed state to represent a qubit, which can be coherently processed in a deconvolution picture (DP) in the presence of noise. We avail ourselves of the fact that when evolution is governed by a quadratic dissipative equation, there exists a basis of squeezed states that evolves to another basis of such states in the DP. An operator acts as an impurity filter, restoring the coherence lost from the inexorable interactions of the qubit with its surroundings.