Extending matchgates to universal quantum computation via the Hubbard model

Ji, Jia-Wei; Feder, David L.

doi:10.1103/physreva.100.052324

Cited by 4 publications

(1 citation statement)

References 52 publications

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“…The Hubbard model was introduced in the 1960s as a simple approximation to describe the motion of interacting spin-1/2 fermions in a lattice. Recently, it has been found that this model can be a good candidate for universal quantum computation and has been explored to construct a universal set of quantum gates whose purpose is the construction of a quantum computer based on interacting fermions [22]. A crucial point characterizing the Hubbard model is its ground state that represents a natural source of entanglement and hence it can be a significant resource for quantum information processing such as quantum teleportation.…”

Section: Introductionmentioning

confidence: 99%

Pairwise quantum correlations in four-level quantum dot systems

Abaach,

Faqir,

Baz

2022

Preprint

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Section: Introductionmentioning

confidence: 99%

Pairwise quantum correlations in four-level quantum dot systems

Abaach,

Faqir,

Baz

2022

Preprint

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Pairwise quantum correlations in four-level quantum dot systems

2021

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Thermal quantum correlations and disorder in a fermionic system described by the extended Fermi–Hubbard-like model

Essakhi,

Mansour

2024

Laser Phys. Lett.

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This research investigates thermal quantum correlations in a fermionic system modeled using an extended Fermi–Hubbard-like model. We examine the impacts of noisy temperature, local chemical potential, and nearest-neighbor interaction. The Fermi–Hubbard model provides a framework for understanding fermion interactions in a lattice and shows potential for simulating fermionic systems with superconducting circuits in quantum simulation. Using the Jordan–Wigner transformation, we convert the fermionic system into a qubit system, bridging quantum information and particle physics. Thermal entanglement is assessed using concurrence measurement, while thermal quantum correlations are measured through trace distance discord and local quantum uncertainty. Our findings indicate that increasing temperature causes disorder, negatively affecting quantum entanglement and correlations. However, by adjusting the nearest-neighbor interaction strength and local potential, we can mitigate thermal noise effects, enhancing correlations and entanglement. Selecting appropriate parameters can ensure the system’s potential for quantum technology development.

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Extending matchgates to universal quantum computation via the Hubbard model

Cited by 4 publications

References 52 publications

Pairwise quantum correlations in four-level quantum dot systems

Pairwise quantum correlations in four-level quantum dot systems

Pairwise quantum correlations in four-level quantum dot systems

Thermal quantum correlations and disorder in a fermionic system described by the extended Fermi–Hubbard-like model

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