Stabilizing Adiabatic Quantum Computing
Abstract
In this project we developed novel methods for the implementations of quantum mechanical primitives resilient to noise and spurious interactions with the environment. In particular, on the one hand we designed quantum networks which exploit dissipation in order to compute any Boolean formula. On the other hand, we exploited a novel classification of non-Hermitian, dissipative, topological insulators, to exponentially increase the coherence time of working qubits. We constructed novel measures of quantum coherence and coherence generating power, and showed that they can be obtained through known observables such as the dynamical conductivity. On a more basic level we elucidated the mechanism responsible for quantum thermalization. We showed that the so called Eigenstate Thermalization Hypothesis (ETH), is not only necessary but also sufficient for thermalization. We also showed that the ETH is also implicitly assumed in classical statistical mechanics where it roughly corresponds to the statements that the energy shell is very small compared to the mean energy. As a result, we showed that both classical and quantum statistical mechanics can be formulated according to the same principle, the justification of which, however, is entirely quantum.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 2021
- Accession Number
- AD1137639
Entities
People
- Lorenzo Campos Venuti
Organizations
- University of Southern California