旋转、带电和弦论黑洞的量子计算
Quantum Computing for Rotating, Charged and String Theory Black Holes
摘要：
旋转、带电、德西特和弦论黑洞的量子力学最近引起人们的兴趣，因为它们具有特殊的热力学性质，以及它们微观状态的神秘性质。对这个系统中涉及的算子进行全面的量子处理可以产生关于其性质的有价值的信息，类似于量子处理如何产生对原子、分子和基本粒子的有价值的洞察。利用量子计算研究了四种类型的黑洞，包括三维旋转Banados-Teitelboim-Zanelli（BTZ）黑洞、四维带电Reisner-Nordtrom（RN）黑洞、四维带电Reisner-Nordstrom -de Sitter（RN-dS）黑洞和二维带电弦黑洞.在这些情况下，除了哈密顿量，还有一个质量算符，它在描述黑洞的量子态中起着重要作用。我们使用经典和量子计算来计算这些算子的谱。对于量子计算，我们使用变分量子本征求解器（VQE），这是一种在近期量子硬件上运行的混合经典量子算法。我们在谐振子和位置基中使用4个量子比特进行计算，实现了16 x 16矩阵的黑洞的量子算符。对于4量子比特的情况下，我们发现高度准确的结果的质量本征值的不同值的电荷和角动量。对于二维带电弦黑洞，我们也用VQE计算了哈密顿约束的期望值和哈密顿约束与质量算符的换位子，结果与理论期望值吻合得很好.
英文摘要：
The quantum mechanics of Rotating, Charged, de Sitter and String Theory black holes are of recent interest because of their peculiar thermodynamic properties, as well the mysterious nature of their microstates. A full quantum treatment of the operators involved in this systems could yield valuable information into their nature, similar to how quantum treatment yields valuable insight into atoms, molecules and elementary particles. We study four types of black holes using quantum computing, which include the 3D Rotating Banados-Teitelboim-Zanelli (BTZ) black hole, the 4D charged Reisner-Nordtrom (RN) black hole, the 4D charged Reisner-Nordstrom -de Sitter (RN-dS) black hole and the 2D charged string black hole. In these cases in addition to the Hamiltonian there is a Mass operator which plays an important role in describing the quantum states of the black hole. We compute the spectrum of these operators using classical and quantum computing. For quantum computing we use the Variational Quantum Eigensolver (VQE) which is hybrid classical-quantum algorithm that runs on near term quantum hardware. We perform our calculations using 4 qubits in both a harmonic oscillator and position basis, realizing the quantum operators of the black holes in terms of 16 x 16 matrices. For the 4 qubit case we find highly accurate results for the Mass eigenvalues for different values of the charge and angular momentum. For the 2D Charged String black hole we also use the VQE to compute the expectation value of the Hamiltonian constraint and the commutator of the Hamiltonian constraint with the mass operator and find excellent agreement with theoretical expectations.
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。
