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Clelia Altomonte

Publications and source records attributed to Clelia Altomonte.

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Solving Einstein Field Equations on a Digital Quantum Computer

In this work, we show how simulations performed on classical computers such as those of Numerical Relativity can be tackled by quantum algorithms for solving systems of partial differential equations. We develop a proof-of-principle quantum algorithm for solving Einstein Field Equations in the Wahlquist-Estabrook-Buchman-Bardeen(WEBB) tetrad Numerical Relativity formalism [1], and test it by evolving the Schwarzschild Black Hole spacetime in the WEBB Numerical Relativity formalism [2], perturbing it to obtain gravitational Quasinormal Modes [3]. We program the algorithm components for a gate-based, digital quantum computer using the Qiskit software [4] and run it on classical simulators and physical IBM quantum computers through the UKRI National Quantum Computing Centre (NQCC) Quantum Access program and quantify the computational resources and runtime.

gr-qc

Primordial Black Hole Hot Spots and Nucleosynthesis

Upon their evaporation via Hawking radiation, primordial black holes (PBHs) may deposit energy in the ambient plasma on scales smaller than the typical distance between two black holes, leading to the formation of hot spots around them. We investigate how the corresponding rise of the local temperature during the evaporation may act as a shield against the release of low-energy photons, affecting PBH's capacity to dissociate light nuclei after Big-Bang Nucleosynthesis through photo-dissociation. We study the different ways PBH hot spots affect the flux of low-energy photons expected from PBH evaporation, and we find that such effects can be particularly relevant to the physics of photo-dissociation during Big-Bang Nucleosynthesis for PBHs with masses between $10^{11}$g and $3\times 10^{12}$g. We emphasize that the magnitude of this effect is highly dependent on the specific shape of the temperature profile around PBHs and its time evolution. This underscores the necessity for a comprehensive study of PBH hot spots and their dynamics in the future.

astro-ph.CO

Prospects for quantum process tomography at high energies

In quantum information theory, the evolution of an open quantum system -- a unitary evolution followed by a measurement -- is described by a quantum channel or, more generally, a quantum instrument. In this work, we formulate spin and flavour measurements in collider experiments as quantum instruments. We demonstrate that the Choi matrix, which completely determines input-output transitions, can be both theoretically computed from a given model and experimentally reconstructed from a set of final state measurements (quantum state tomography) using varied input states. The experimental reconstruction of the Choi matrix, known as quantum process tomography, offers a powerful new approach for probing potential extensions of the Standard Model within the quantum field theory framework and, at the same time, constitutes a new foundational test of quantum mechanics itself. As an example, we outline the quantum process tomography approach applied to the $e^+ e^- \to t \bar{t}$ process at a polarized lepton collider.

hep-ph

Quantum State-Channel Duality for the calculation of Standard Model scattering amplitudes

Recent instances of successful application of quantum information techniques to particle physics problems invite for an analysis of the mathematical details behind such connection. In this paper, we identify the Choi-Jamiolkowski isomorphism, or state-channel duality, as a theoretical principle enabling the application of the theory of quantum information to the scattering amplitudes associated with Standard Model processes.

hep-ph