论文标题
状态空间中的有限温度量子冷凝：量子退火的新观点
Finite temperature quantum condensations in the space of states: a new perspective for quantum annealing
论文作者
论文摘要
在自然界中，一切都发生在有限温度和量子相变（QPTS）下，这不是例外。然而，它们仍在零温度下主要讨论和配制。我们表明，最近在零温度下引入的冷凝QPT可以自然地扩展到有限温度，仅通过用相应的自由能代替基态能量。我们在范式的Grover模型和一维非均匀晶格中的自由费仪系统中说明了这一标准。与预期通用特征一致，两个系统在结构上相似。最后，我们解释了有限温度凝结QPTS如何用于构建在有限温度下，在系统尺寸中的输出概率接近1的量子退火器。作为示例，我们再次考虑Grover模型和费米子系统，后者很好地属于当前异质结构技术的范围。
In nature, everything occurs at finite temperature and quantum phase transitions (QPTs) cannot be an exception. Nevertheless, they are still mainly discussed and formulated at zero temperature. We show that the condensation QPTs recently introduced at zero temperature can naturally be extended to finite temperature just by replacing ground state energies with corresponding free energies. We illustrate this criterion in the paradigmatic Grover model and in a system of free fermions in a one-dimensional inhomogeneous lattice. In agreement with expected universal features, the two systems show structurally similar phase diagrams. Last, we explain how finite temperature condensation QPTs can be used to construct quantum annealers having, at finite temperature, output-probability exponentially close to 1 in the system size. As examples we consider again the Grover model and the fermionic system, the latter being well within the reach of present heterostructure technology.
