Partonic Structure by Quantum Computing

Li, Tianyin; Guo, Xingyu; Lai, Wai Kin; Liu, Xiaohui; Wang, Enke; Xing, Hongxi; Zhang, Dan-Bo; Zhu, Shi-Liang

doi:10.48550/arxiv.2106.03865

Cited by 8 publications

(11 citation statements)

References 50 publications

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“…The behavior and performance of variational quantum eigensolver strongly depend on the ansatz. For our purpose, we adopt a special ansatz, called Hamiltonian variational ansatz (HVA) [23]) (also closely related to the quantum alternating operator ansatz [24,25]), that can inherit symmetries of Hamiltonian in the ansatz [26] and also is closely related to the adiabatic quantum algorithm (quantum annealing) [18,24].…”

Section: A Quantum Critical Point and Variational Quantum Eigensolvermentioning

confidence: 99%

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Locating quantum critical points with shallow quantum circuits

Zhi-Quan¹,

Duan²,

Zhang³

2022

Preprint

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Quantum critical point is one key concept for studying many-body physics but its investigation may be resource-demanding even for a quantum computer due to the intrinsic complexity. In this paper, we propose an approach based on variational quantum eigensolver(VQE), dubbed as Delta-VQE, for locating the quantum critical point using only shallow quantum circuits. With Delta-VQE, the critical point can be identified as a most confusing point, quantified as zero difference between two variational energies that use two representative reference states of distinct phases of matter. Remarkably, the signature of a critical point as a minimal point can be sharper while using shallower quantum circuits. We test the algorithm for different quantum systems and demonstrate the usefulness of Delta-VQE. The scheme suggests a new avenue for investigating quantum phases of matter on near-term quantum devices with limited quantum resources.

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Section: A Quantum Critical Point and Variational Quantum Eigensolvermentioning

confidence: 99%

“…We adopt the Hamiltonian variational ansatz which constructs the unitary evolution U (θ) using alternative Hamiltonian evolutions with non-commuting Hamiltonians [23,26]. For this, the Hamiltonian is divided as a summation of terms…”

Section: Let Us Write the Hamiltonian As A Summation Of Local Hamilto...mentioning

confidence: 99%

Locating quantum critical points with shallow quantum circuits

Zhi-Quan¹,

Duan²,

Zhang³

2022

Preprint

Self Cite

View full text Add to dashboard Cite

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“…Such applications have been mainly experiment-oriented: pixel images [19], event topologies [20], event classification [21], Higgs analysis [22], background suppression [23], measurement unfolding [24] or jet clustering [25]. Applications to parton-distribution functions (PDF) have also been carried out by several groups [26,27] in a quantum context. In addition, several investigations of quantum parton shower as well as matrix elements evaluation [28,29] have been carried out [30,28,31].…”

Section: Introductionmentioning

confidence: 99%

Quantum integration of elementary particle processes

Agliardi,

Grossi,

Pellen

et al. 2022

Preprint

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We apply quantum integration to elementary particle-physics processes. In particular, we look at scattering processes such as e + e − → q q and e + e − → q q W. The corresponding probability distributions can be first appropriately loaded on a quantum computer using either quantum Generative Adversarial Networks or an exact method. The distributions are then integrated using the method of Quantum Amplitude Estimation which shows a quadratic speed-up with respect to classical techniques. In simulations of noiseless quantum computers, we obtain per-cent accurate results for one-and two-dimensional integration with up to six qubits. This work paves the way towards taking advantage of quantum algorithms for the integration of high-energy processes.

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“…While a full simulation of QCD is not yet practical, quantum computers and simulators are currently exploited for solving/simulating effective models of strong interaction systems as well as related gauge field theories (e.g. in lower dimensions and/or with smaller symmetry groups) [4][5][6][7][8][9][10][11][12][13][14][15][16][17]. One category of problem with wide applications to various research fields, such as quantum chemistry and atomic/molecular physics, is computing the energy eigenvalues for a given Hamiltonian.…”

Section: Introductionmentioning

confidence: 99%

Quantum Computing for Heavy Quarkonium Spectroscopy

Gallimore¹,

Liu²

2022

Preprint

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We report a first demonstration for the application of quantum computing to heavy quarkonium spectroscopy study. Based on a Cornell-potential model for the heavy quark and antiquark system, we show how this Hamiltonian problem can be formulated and solved with the VQE approach on the IBM cloud quantum computing platform. Errors due to a global depolarizing noise channel are corrected with a zero-noise extrapolation method, resulting in good agreement with the expected value. We also extend the calculation to excited states on a noiseless quantum simulator by orthogonalization with respect to the ground state.

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Partonic Structure by Quantum Computing

Cited by 8 publications

References 50 publications

Locating quantum critical points with shallow quantum circuits

Locating quantum critical points with shallow quantum circuits

Quantum integration of elementary particle processes

Quantum Computing for Heavy Quarkonium Spectroscopy

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