Quantum Computing for Heavy Quarkonium Spectroscopy

Gallimore, Daniel; Liu, Jinfeng

doi:10.48550/arxiv.2202.03333

Cited by 3 publications

(3 citation statements)

References 30 publications

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“…A quantum computation of quarkonium was presented in [4] using an algorithm different from the one used here. As well, only energies of spin averaged S-wave states were considered.…”

Section: Introductionmentioning

confidence: 99%

Demonstrating quantum computing with the quark model

Woloshyn¹

2023

Preprint

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The use of quantum computing to solve a problem in quantum mechanics is illustrated, step by step, by calculating energies and transition amplitudes in a nonrelativistic quark model. The quantum computations feature the use of variational quantum imaginary time evolution implemented using automatic differentiation to determine ground and excited states of charmonium. The calculation of transition amplitudes is illustrated utilizing the Hadamard test. Examples of readout and gate error mitigation are included

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“…A quantum computation of quarkonium was presented in [4] using an algorithm different from the one used here. As well, only energies of spin averaged S-wave states were considered.…”

Section: Introductionmentioning

confidence: 99%

Demonstrating quantum computing with the quark model

Woloshyn¹

2023

Preprint

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“…Beside field theory based simulations, they have also been applied to specific topics such as nuclear structure [32][33][34][35][36][37], neutrino oscillation [38] and string theory [39]. Concerning collider oriented physics, these technologies have, for example, been used to simulate hard probes like heavy flavors [40] and jets [41,42], optimize parton showers [43][44][45] and jet clustering algorithms [46][47][48] as well as in the detection of quantum anomalies [49] and the study of spin correlations at high energies [50]. Although such applications are still highly constrained by the performance of current quantum computers [51], even the (re)formulation of problems in a language accessible to these machines turns out to be highly non-trivial.…”

Section: Introductionmentioning

confidence: 99%

Medium induced jet broadening in a quantum computer

Barata¹,

Du²,

Li³

et al. 2022

Preprint

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QCD jets provide one of the best avenues to extract information about the quark-gluon plasma produced in the aftermath of ultra relativistic heavy ions collisions. The structure of jets is determined by multiparticle quantum interference hard to tackle using perturbative methods. When jets evolve in a QCD medium this interference pattern is modified, adding another layer of complexity. By taking advantage of the recent developments in quantum technologies, such effects might be better understood via direct quantum simulation of jet evolution. In this work, we introduce a precursor to such simulations. Based on the light-front Hamiltonian formalism, we construct a digital quantum circuit that tracks the evolution of a single hard probe in the presence of a stochastic color background. In terms of the jet quenching parameter q, the results obtained using classical simulators of ideal quantum computers agree with known analytical results. With this study, we hope to provide a baseline for future in-medium jet physics studies using quantum computers.

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“…With rapid advances of quantum hardware, the promise of solving quantum many-body problems by quantum computing becomes increasingly within reach [15][16][17][18]. Notably, there are some progresses in exploiting quantum computing for solving nuclear physics that will be intrinsic hard with classical methods, such as real-time evolution [19], evaluation of parton distribution function [20,21], and so on [22][23][24][25][26][27][28]. While a direct quantum simulation of QCD can still be difficult on current quantum computers due to the demanding quantum resources for encoding non-Abelian gauge fields [29], those progresses pave the way for demonstrating * dbzhang@m.scnu.edu.cn the usefulness of quantum algorithms for simulating nuclear physics with model Hamiltonians.…”

Section: Introductionmentioning

confidence: 99%

Variational thermal quantum simulation of the lattice Schwinger model

Xie,

Guo,

Xing

et al. 2022

Preprint

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Confinement of quarks due to the strong interaction and the deconfinement at high temperatures and high densities are a basic paradigm for understanding the nuclear matter. Their simulation, however, is very challenging for classical computers due to the sign problem of solving equilibrium states of finite-temperature quantum chromodynamical systems at finite density. In this paper, we propose a variational approach, using the lattice Schwinger model, to simulate the confinement or deconfinement by investigating the string tension. We adopt an ansatz that the string tension can be evaluated without referring to quantum protocols for measuring the entropy in the free energy. Results of numeral simulation show that the string tension decreases both along the increasing of the temperature and the chemical potential, which can be an analog of the phase diagram of QCD. Our work paves a way for exploiting near-term quantum computers for investigating the phase diagram of finite-temperature and finite density for nuclear matters.

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Quantum Computing for Heavy Quarkonium Spectroscopy

Cited by 3 publications

References 30 publications

Demonstrating quantum computing with the quark model

Demonstrating quantum computing with the quark model

Medium induced jet broadening in a quantum computer

Variational thermal quantum simulation of the lattice Schwinger model

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