Characterizing quantum phase transition by teleportation

TL;DR

This paper investigates how quantum teleportation fidelity can signal quantum phase transitions in a 1D Ising model, revealing a logarithmic divergence at the critical point, thus linking quantum information and condensed matter physics.

Contribution

It introduces a novel approach connecting quantum teleportation fidelity with quantum phase transitions in the Ising model, highlighting a critical point indicator.

Findings

Fidelity derivative diverges logarithmically at the critical point

Quantum teleportation fidelity reflects quantum phase transition behavior

Numerical analysis confirms the fidelity's sensitivity to phase change

Abstract

In this paper we provide a novel way to explore the relation between quantum teleportation and quantum phase transition. We construct a quantum channel with a mixed state which is made from one dimensional quantum Ising chain with infinite length, and then consider the teleportation with the use of entangled Werner states as input qubits. The fidelity as a figure of merit to measure how well the quantum state is transferred is studied numerically. Remarkably we find the first-order derivative of the fidelity with respect to the parameter in quantum Ising chain exhibits a logarithmic divergence at the quantum critical point. The implications of this phenomenon and possible applications are also briefly discussed.