经典二元对称通道量子模拟的Gibbs自由能分析
Gibbs Free Energy Analysis of a Quantum Analog of the Classical Binary Symmetric Channel
摘要：
研究了量子{ \it send，receive}通信系统的吉布斯自由能性质。通信模型类似于晶格上自旋的经典伊辛模型，因为量子系统的联合状态是发送者和接收者状态的乘积。然而，该系统不同于经典的情况下，发送者和接收者的自旋态是量子叠加态耦合的哈密顿算符。对这些状态的基本理解与通信理论直接相关，与计算间接相关，因为产品状态形成纠缠态的基础。该研究的亮点包括量子自旋抽取的精确方法。主要结果是，在产品状态的量子系统的最小吉布斯自由能是较高的（较低的容量）比具有相同的参数值的经典系统。结果既令人惊讶又不令人惊讶。量子系统在乘积态的信道特性明显劣于经典伊辛系统。直觉上，能力似乎会因此受到影响。然而，人们会期望从产物态构建的纠缠态具有更好的相关特性。
英文摘要：
The Gibbs free energy properties of a quantum {\it send, receive} communications system are studied. The communications model resembles the classical Ising model of spins on a lattice in that the joint state of the quantum system is the product of sender and receiver states. However, the system differs from the classical case in that the sender and receiver spin states are quantum superposition states coupled by a Hamiltonian operator. A basic understanding of these states is directly relevant to communications theory and indirectly relevant to computation since the product states form a basis for entangled states. Highlights of the study include an exact method for decimation for quantum spins. The main result is that the minimum Gibbs free energy of the quantum system in the product state is higher (lower capacity) than a classical system with the same parameter values. The result is both surprising and not. The channel characteristics of the quantum system in the product state are markedly inferior to those of the classical Ising system. Intuitively, it would seem that capacity should suffer as a result. Yet, one would expect entangled states, built from product states, to have better correlation properties.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
