Quantum Computing for Inflationary, Dark Energy and Dark Matter Cosmology

Joseph, Amy; Varela, Juan-Pablo; Watts, Molly P.; White, Tristen; Feng, Yuan; Hassan, Mohammad; McGuigan, Michael

doi:10.48550/arxiv.2105.13849

Cited by 1 publication

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References 29 publications

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“…In this paper we study the application of quantum computing to the Schwarzschild-de Sitter black hole and the Kantowski-Sachs cosmology. Quantum computing has advantages for quantum simulation [23] [24] [25] [26] [27] [28] [29] and represents the Lorentzian path integral directly and does not suffer from difficulties and ambiguities associated with complex contours of Euclidean path integrals for quantum gravity. In addition if fermions are present quantum computing can evade the sign problem by representing fermions directly on the quantum computer which is another affliction that can cause difficulty for classical computing.…”

Section: Introductionmentioning

confidence: 99%

Quantum Computing of Schwarzschild-de Sitter Black Holes and Kantowski-Sachs Cosmology

Joseph¹,

White²,

Chandra³

et al. 2022

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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 × 16, 64 × 64 and 256 × 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 accurately represent the quantum states of a Schwarzschild-de Sitter black hole or Kantowki-Sachs cosmology accurately on a quantum computer.

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