# Quantumness speeds up quantum thermodynamics processes

## TL;DR

This paper introduces a new method to measure how quantum properties like coherence and entanglement speed up energy extraction in quantum thermodynamics.

## Contribution

The paper introduces a thermodynamics speed metric to quantify the role of quantum coherence and entanglement in work extraction.

## Key findings

- Coherence in quantum systems can speed up work extraction beyond incoherent states.
- Entanglement can further increase work extraction speed beyond bi-separable states.
- A new thermodynamic method is proposed to witness entangled systems using physical quantities.

## Abstract

Quantum thermodynamic process involves manipulating and controlling quantum states to extract energy or perform computational tasks with high efficiency. There is still no efficient general method to theoretically quantify the effect of the quantumness of coherence and entanglement in work extraction. In this work, we propose a thermodynamics speed to quantify the extracting work. We show that the coherence of quantum systems can speed up work extracting with respect to some cyclic evolution beyond all incoherent states. We further show the genuine entanglement of quantum systems may speed up work extracting beyond any bi-separable states. This provides a new thermodynamic method to witness entangled systems with physical quantities.

•A quantum energy-exchange speed is introduced•The maximal energy-exchange speed of coherent batteries is proved•The maximal energy-exchange speed of entangled batteries is explored

A quantum energy-exchange speed is introduced

The maximal energy-exchange speed of coherent batteries is proved

The maximal energy-exchange speed of entangled batteries is explored

Physics; Quantum theory; Quantum physics