Quantum Speed Limits for Quantum Information Processing Tasks

TL;DR

This paper establishes fundamental speed limits for quantum information tasks like state transfer and entanglement generation, using algebraic bounds and graph models, highlighting potential for improved quantum processing performance.

Contribution

It introduces algebraic bounds on quantum information processing rates and applies them to spin systems, revealing possible enhancements beyond current control methods.

Findings

Derived algebraic bounds on quantum task rates

Applied bounds to graph-based spin models

Indicated potential for improved quantum performance

Abstract

We derive algebraic bounds on achievable rates for quantum state transfer and entanglement generation in general quantum systems. We apply these bounds to graph-based models of local quantum spin systems to obtain speed limits on these tasks. A comparison to numerical optimal control results for spin chains suggests that unexplored regions of the dynamical landscape may support enhanced performance of key quantum information processing tasks.