Quantum speedup dynamics process in Schwarzschild space-time

TL;DR

This paper explores how Hawking radiation influences quantum speed limits in open systems within Schwarzschild space-time, revealing that certain noise channels can be accelerated by increasing Hawking temperature, with optimal initial entanglement enhancing evolution speed.

Contribution

It demonstrates the impact of Hawking effect on quantum speed limits in curved space-time and identifies conditions where evolution can be accelerated through noise channels.

Findings

Hawking effect can accelerate quantum evolution in specific noise channels.

Optimal initial entanglement minimizes quantum speed limit time.

Hawking temperature increases can enhance evolution speed in certain channels.

Abstract

Quantum speed limit time (QSLT) can be used to characterize the intrinsic minimal time interval for a quantum system evolving from an initial state to a target state. We investigate the QSLT of the open system in Schwarzschild space-time. We show that, in some typical noisy channels,the Hawking effect can be beneficial to the evolution of the system. For an initial entangled state, the evolution speed of the system can be enhanced in the depolarizing, bit flip, and bit-phase flip channels as the Hawking temperature increases, which are in sharp contrast to the phase flip channel. Moreover, the optimal initial entanglement exists in other noise channels except the phase flip channel, which minimizes the QSLT of the system and thus leads to the maximum evolution speed of the system.