Quantum-speed-limit time for multiqubit open systems

TL;DR

This paper explores the quantum speed limit time in multiqubit open systems, revealing how environmental memory effects and entanglement influence the minimal evolution time, with some states showing speedup even without memory effects.

Contribution

It extends the understanding of quantum speed limits from single qubits to multiqubit systems, identifying conditions where memory effects are or are not necessary for speedup.

Findings

Memory effects are essential for speedup in some states.

Speedup can occur without memory effects in certain states.

Weak entanglement may further shorten QSL time.

Abstract

Quantum-speed-limit (QSL) time captures the intrinsic minimal time interval for a quantum system evolving from an initial state to a target state. In single qubit open systems, it was found that the memory (non-Markovian) effect of environment plays an essential role in shortening QSL time or, say, increasing the capacity for potential speedup. In this paper, we investigate the QSL time for multiqubit open systems. We find that for a certain class of states the memory effect still acts as the indispensable requirement for cutting the QSL time down, while for another class of states this takes place even when the environment is of no memory. In particular, when the initial state is in product state |111...1>, there exists a sudden transition from no capacity for potential speedup to potential speedup in a memoryless environment. In addition, we also display evidence for the subtle connection between QSL time and entanglement that weak entanglement may shorten QSL time even more.