DeepAI AI Chat
Log In Sign Up

Local lower bounds on characteristics of quantum and classical systems

10/20/2022
by   M. E. Shirokov, et al.
0

We consider methods of obtaining local lower bounds on characteristics of quantum (correspondingly, classical) systems, i.e. lower bounds valid in the trace norm ϵ-neighborhood of a given state (correspondingly, probability distribution). The main attention is paid to infinite-dimensional systems.

READ FULL TEXT

page 1

page 2

page 3

page 4

03/23/2022

Factor Graphs for Quantum Information Processing

[...] In this thesis, we are interested in generalizing factor graphs an...
05/07/2020

Lower bounds in multiple testing: A framework based on derandomized proxies

The large bulk of work in multiple testing has focused on specifying pro...
02/27/2018

No-go for quantum seals

We introduce the concept of a quantum "seal" and investigate its feasibi...
09/30/2022

Optimal Query Complexities for Dynamic Trace Estimation

We consider the problem of minimizing the number of matrix-vector querie...
08/23/2019

Predicting Features of Quantum Systems using Classical Shadows

Predicting features of complex, large-scale quantum systems is essential...
11/09/2022

A theory of quantum differential equation solvers: limitations and fast-forwarding

We study the limitations and fast-forwarding of quantum algorithms for s...