Dynamical Quantum Phase Transitions of the Schwinger Model: Real-Time Dynamics on IBM Quantum

Pomarico, Domenico; Cosmai, Leonardo; Facchi, Paolo; Lupo, Cosmo; Pascazio, Saverio; Pepe, F.

doi:10.3390/e25040608

Cited by 9 publications

(2 citation statements)

References 74 publications

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“…In many situations, it is challenging to prepare and control a system with a large number of degrees of freedom; and therefore, experiments with small quantum systems [4,6] or quantum computers implementations [7] are designed to test dynamical singularities. Technically, the LE usually has no exact zeros for finite-size systems, except for fine-tuned post-quench parameters, which fulfill specific constraint conditions depending on the physical implementation [2].…”

Section: Introductionmentioning

confidence: 99%

Quantum kernels for classifying dynamical singularities in a multiqubit system

Tancara,

Fredes,

Norambuena

2024

Quantum Sci. Technol.

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Dynamical quantum phase transition is a critical phenomenon involving out-of-equilibrium states and broken symmetries without classical analogy. However, when finite-sized systems are analyzed, dynamical singularities of the rate function can appear, leading to a challenging physical characterization when parameters are changed. Here, we report a quantum support vector machine (QSVM) algorithm that uses quantum Kernels to classify dynamical singularities of the rate function for a multiqubit system. We illustrate our approach using $N$ long-range interacting qubits subjected to an arbitrary magnetic field, which induces a quench dynamics. Inspired by physical arguments, we introduce two different quantum Kernels, one inspired by the ground state manifold and the other based on a single state tomography. Our accuracy and adaptability results show that this quantum dynamical critical problem can be efficiently solved using physically inspiring quantum Kernels. Moreover, we extend our results for the case of time-dependent fields, quantum master equation, and when we increase the number of qubits

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Section: Introductionmentioning

confidence: 99%

Quantum kernels for classifying dynamical singularities in a multiqubit system

Tancara,

Fredes,

Norambuena

2024

Quantum Sci. Technol.

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“…NISQ superconducting devices suffer with respect to the inclusion of entanglement among qubit triplets and more complex structures than pairs [25], thus leading to a shortrange entanglement which causes a comparable computational capability of tensor network techniques [26]. This successful application for computational complexity reduction in the quantum framework intertwines with widespread applications in data science [27][28][29][30] and hierarchical tensor geometry [31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Multiscale Entanglement Renormalization Ansatz: Causality and Error Correction

Pomarico

2023

Dynamics

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Computational complexity reduction is at the basis of a new formulation of many-body quantum states according to tensor network ansatz, originally framed in one-dimensional lattices. In order to include long-range entanglement characterizing phase transitions, the multiscale entanglement renormalization ansatz (MERA) defines a sequence of coarse-grained lattices, obtained by targeting the map of a scale-invariant system into an identical coarse-grained one. The quantum circuit associated with this hierarchical structure includes the definition of causal relations and unitary extensions, leading to the definition of ground subspaces as stabilizer codes. The emerging error correcting codes are referred to logical indices located at the highest hierarchical level and to physical indices yielded by redundancy, framed in the AdS-CFT correspondence as holographic quantum codes with bulk and boundary indices, respectively. In a use-case scenario based on errors consisting of spin erasure, the correction is implemented as the reconstruction of a bulk local operator.

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Quantum simulations for strong-field QED

Hidalgo,

Draper

2024

Phys. Rev. D

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Quantum field theory in the presence of strong background fields contains interesting problems where quantum computers may someday provide a valuable computational resource. In the noisy intermediate-scale quantum era it is useful to consider simpler benchmark problems in order to develop feasible approaches, identify critical limitations of current hardware, and build new simulation tools. Here we perform quantum simulations of strong-field QED (SFQED) in 3+1 dimensions, using real-time nonlinear Breit-Wheeler pair production as a prototypical process. The strong-field QED Hamiltonian is derived and truncated in the Furry-Volkov mode expansion, and the interactions relevant for Breit-Wheeler are transformed into a quantum circuit. Quantum simulations of a “null double slit” experiment are found to agree well with classical simulations following the application of various error mitigation strategies, including an asymmetric depolarization algorithm which we develop and adapt to the case of Trotterization with a time-dependent Hamiltonian. We also discuss longer-term goals for the quantum simulation of SFQED. Published by the American Physical Society 2024

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Dynamical Quantum Phase Transitions of the Schwinger Model: Real-Time Dynamics on IBM Quantum

Cited by 9 publications

References 74 publications

Quantum kernels for classifying dynamical singularities in a multiqubit system

Quantum kernels for classifying dynamical singularities in a multiqubit system

Multiscale Entanglement Renormalization Ansatz: Causality and Error Correction

Quantum simulations for strong-field QED

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