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Universal bound on quantum coherence from information causality

Authors: Yang, JIaxuan;

Universal bound on quantum coherence from information causality

Abstract

We derive a universal upper bound on the temperature of macroscopic quantum coherence, based on information causality and quantum speed limits. The bound, \( T_c \leq \frac{\hbar}{2k_B} \cdot \frac{v_{\text{LR}}}{\xi_0} \), arises from the interplay between the Lieb-Robinson information speed and the energy-time uncertainty principle. Without any fitting parameters, it accurately predicts the superfluid transition temperature of $^4$He (2.185 K vs. experimental 2.172 K) when geometric effects are included. The bound applies across diverse systems—from superconductors to black holes—suggesting a fundamental connection between quantum coherence, causality, and information propagation. This work highlights information causality as a foundational constraint on macroscopic quantum phenomena.

Keywords

Quantum information, Quantum physics, Information Theory, Quantum phase transition, Condensed matter physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average