论文标题
量子统计复杂度度量作为相关转换的信号传导
Quantum Statistical Complexity Measure as a Signalling of Correlation Transitions
论文作者
论文摘要
在量子信息理论的背景下，我们引入了用于统计复杂度度量的量子版本，并将其用作量子订购级过渡的信号传导函数。我们讨论了此类过渡将有趣的物理现象表征为量子相变或相关分布中突然变化的可能性。我们将措施应用于两个确切可解决的汉密尔顿模型，即：$ 1D $ -Quantum ising Model和Heisenberg XXZ Spin- $ 1/2 $链。我们还为考虑模型计算了该度量的一小量和两倍降低的状态，并通过使用Bethe Ansatz分析其在有限系统大小以及热力学极限中的量子相变的行为。
We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signalling function of quantum order-disorder transitions. We discuss the possibility for such transitions to characterize interesting physical phenomena, as quantum phase transitions, or abrupt variations in the correlation distributions. We apply our measure to two exactly solvable Hamiltonian models, namely: the $1D$-Quantum Ising Model and the Heisenberg XXZ spin-$1/2$ chain. We also compute this measure for one-qubit and two-qubit reduced states for the considered models, and analyse its behaviour across its quantum phase transitions for finite system sizes as well as in the thermodynamic limit by using Bethe ansatz.
