Variational Quantum Time Evolution without the Quantum Geometric Tensor

Gacon, Julien; Nys, Jannes; Rossi, René M.; Woerner, Stefan; Carleo, Giuseppe

doi:10.48550/arxiv.2303.12839

2023

DOI: 10.48550/arxiv.2303.12839

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Variational Quantum Time Evolution without the Quantum Geometric Tensor

Julien Gacon¹,

Jannes Nys²,

René M. Rossi³

et al.

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“…of gates ∼ O D 2 N D+1 d . (C4) In summary, the execution time of QITE-ansatz algorithm for D-dimensional NNIM reads time ∼ O D 6 N 3D+3 d , (C5)which is a polynomial function of the system size.There are some improvement methods of the QITE-ansatz algorithm to reduce the execution time, such as the DualQITE algorithm proposed in Ref [46]…”

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confidence: 99%

Critical behavior of the Ising model by preparing the thermal state on a quantum computer

Wang,

Feng,

Hartung

et al. 2023

Phys. Rev. A

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We simulate the critical behavior of the Ising model utilizing a thermal state prepared using quantum computing techniques. The preparation of the thermal state is based on the variational quantum imaginary time evolution (QITE) algorithm. The initial state of QITE is prepared as a classical product state, and we propose a systematic method to design the variational ansatz for QITE. We calculate the specific heat and susceptibility of the long-range interacting Ising model and observe indications of the Ising criticality on a small lattice size. We find the results derived by the quantum algorithm are well consistent with the ones from exact diagonalization, in both the neighborhood of the critical temperature and the low-temperature region.

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mentioning

confidence: 99%

Critical behavior of the Ising model by preparing the thermal state on a quantum computer

Wang,

Feng,

Hartung

et al. 2023

Phys. Rev. A

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Variational Quantum Time Evolution without the Quantum Geometric Tensor

Cited by 1 publication

References 30 publications

Critical behavior of the Ising model by preparing the thermal state on a quantum computer

Critical behavior of the Ising model by preparing the thermal state on a quantum computer

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