论文标题
Schwarzschild-de保姆的量子计算黑洞和Kantowski-Sachs宇宙学
Quantum Computing of Schwarzschild-de Sitter Black Holes and Kantowski-Sachs Cosmology
论文作者
论文摘要
Schwarzschild-de保姆的量子力学黑洞引起了极大的兴趣，因为它们具有特殊的热力学特性以及它们在现代深色能量宇宙学中的实现，这表明存在很小的正宇宙常数。我们使用量子计算研究Schwarzschild-De保姆黑洞以及Kantowki-Sachs宇宙学。在这些情况下，除了哈密顿量之外，还有一个群众运营商在描述黑洞和坎托夫斯基 - 萨克斯宇宙学的量子状态中起着重要作用。我们使用经典和量子计算计算这些运算符的频谱。对于量子计算，我们使用差异量子本质量器，该量子质量器是在近期量子硬件上运行的混合经典量子算法。我们在谐波振荡器的基础上使用4、6和8量子器执行计算，以16、64 x 64和256 x 256的矩阵分别以16 x 16、64 x 64和256 x 256的矩阵，实现了Schwarzschild-De Sitter Black osmology的量子运算符。对于4个Qubit情况，我们发现了高度准确的结果，但是对于其他情况，我们发现更精致的变异ANSATZ将需要在量子计算机上准确地代表Schwarzschild-De安慰剂黑洞或Kantowki-Sachs宇宙学的量子状态。
The quantum mechanics of Schwarzschild-de Sitter black holes is of great recent interest because of their peculiar thermodynamic properties as well as their realization in modern dark energy cosmology which indicates the presence of a small positive cosmological constant. We study Schwarzschild-de Sitter black holes and also the Kantowki-Sachs Cosmology using quantum computing. 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 and Kantowski-Sachs cosmology. We compute the spectrum of these operators using classical and quantum computing. For quantum computing we use the Variational Quantum Eigensolver which is hybrid classical-quantum algorithm that runs on near term quantum hardware. We perform our calculations using 4, 6 and 8 qubits in a harmonic oscillator basis, realizing the quantum operators of the Schwarzschild-de Sitter black hole and Kantowski-Sachs cosmology in terms of 16 x 16, 64 x 64 and 256 x 256 matrices respectively. For the 4 qubit case we find highly accurate results but for the other cases we find a more refined variational ansatz will be necessary to represent the quantum states of a Schwarzschild-de Sitter black hole or Kantowki-Sachs cosmology accurately on a quantum computer.
