Dilution effects in spin 7/2 systems. The case of the antiferromagnet GdRhIn5

Lora‐Serrano, R.; García, D. J.; Betancourth, D.; Amaral, R. P.; Camilo, Nilmar S.; Estévez-Rams, E.; Pagliuso, P. G.

doi:10.1016/j.jmmm.2015.12.093

Cited by 26 publications

(16 citation statements)

References 35 publications

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“…In the dilute regime, Gd 3+ ions do not behave as free paramagnetic impurities, and drastically reduce the magnetic anisotropy of Kondo CeRhIn 5 at high temperatures. Although x c is above the 2D percolation limit found previously in Ce 1−x La x RhIn 5 (x c ∼ 0.4) [13], it is surprisingly close to the 3D percolation limit found in Gd 1−x La x RhIn 5 and cubic Ce 1−x La x In 3 (x c ∼ 0.65) [18], in agreement with the more isotropic magnetic response.…”

Section: Introductionsupporting

confidence: 88%

Tuning the magnetic anisotropy in CeRhIn5 via Gd substitution

et al. 2017

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In strongly correlated materials, the presence of defects may fundamentally affect both macro and microscopic properties of the system. Here we investigate the effect of Gd substitution in the Kondo antiferromagnet CeRhIn5. At a concentration of only 11% Gd, the magnetic anisotropy of CeRhIn5 is drastically reduced at high temperatures whereas its antiferromagnetic transition, T Ce N = 3.8 K, is linearly suppressed with Gd at low temperatures. The extrapolation of T Ce N to zero temperature occurs at a critical concentration of xc ∼ 0.63, which is above the 2D percolation limit found in Ce1−xLaxRhIn5 (xc ∼ 0.4), but very close to the 3D percolation limit found in Gd1−xLaxRhIn5 and Ce1−xLaxIn3 (xc ∼ 0.65), in agreement with the more isotropic magnetic response.

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Section: Introductionsupporting

confidence: 88%

Tuning the magnetic anisotropy in CeRhIn5 via Gd substitution

et al. 2017

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“…Equation (20) scales worse than the absolute upper bound for the compact case calculated in (15). This is partly because more qubits are present in the unary case, often leading to more distance that must be travelled.…”

Section: Comparisons Between Unary and Compactmentioning

confidence: 93%

“…Most work in this area has focused on fermionic and spin- 1 2 particles, although there is a large set of relevant problems of scientific interest involving ensembles of d-level systems (i.e. qudits), including photonic [5], [6], vibrational [7]- [13], and spin-s [14], [15] degrees of freedom.…”

Section: Introductionmentioning

confidence: 99%

On connectivity-dependent resource requirements for digital quantum simulation of $d$-level particles

Sawaya,

Guerreschi,

Holmes

2020

Preprint

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A primary objective of quantum computation is to efficiently simulate quantum physics. Scientifically and technologically important quantum Hamiltonians include those with spin-s, vibrational, photonic, and other bosonic degrees of freedom, i.e. problems composed of, or approximated by, d-level particles (qudits). Recently, several methods for encoding these systems into a set of qubits have been introduced, where each encoding's efficiency was studied in terms of qubit and gate counts. Here, we build on previous results by including effects of hardware connectivity. To study the number of SWAP gates required to Trotterize commonly used quantum operators, we use both analytical arguments and automatic tools that optimize the schedule in multiple stages. We study the unary (or one-hot), Gray, standard binary, and block unary encodings, with three connectivities: linear array, ladder array, and square grid. Among other trends, we find that while the ladder array leads to substantial efficiencies over the linear array, the advantage of the square over the ladder array is less pronounced. Additionally, analytical and numerical results show that the Gray code is less advantageous when connectivity constraints are considered. These results are applicable in hardware co-design and in choosing efficient encodings for a given set of near-term quantum hardware when simulating Hamiltonians with d-level degrees of freedom.

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“…In order to consider spin Hamiltonians such as Heisenberg models 11,40 , we encode spin-s operators of arbitrary s, where the number of levels is d = 2s + 1. Matrix elements for transitions l j i l 0 h j are defined as follows 41…”

Section: Local Operatorsmentioning

confidence: 99%

“…Here we consider resource counts for simulating five physically and chemically relevant Hamiltonian systems. The Hamiltonians correspond to the shifted one-dimensional QHO, the Bose-Hubbard model 9,45,46 , multidimensional molecular Franck-Condon factors 17,18,47 , a spin-s transverse-field Heisenberg model 11,40 , and simulating Boson sampling 48 on a digital quantum computer. The former four systems consist of an arbitrary number of d-level particles.…”

Section: Composite Systemsmentioning

confidence: 99%

Resource-efficient digital quantum simulation of d-level systems for photonic, vibrational, and spin-s Hamiltonians

et al. 2020

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Simulation of quantum systems is expected to be one of the most important applications of quantum computing, with much of the theoretical work so far having focused on fermionic and spin-1 2 systems. Here, we instead consider encodings of d-level (i.e., qudit) quantum operators into multi-qubit operators, studying resource requirements for approximating operator exponentials by Trotterization. We primarily focus on spins and truncated bosonic operators in second quantization, observing desirable properties for approaches based on the Gray code, which to our knowledge has not been used in this context previously. After outlining a methodology for implementing an arbitrary encoding, we investigate the interplay between Hamming distances, sparsity patterns, bosonic truncation, and other properties of local operators. Finally, we obtain resource counts for five common Hamiltonian classes used in physics and chemistry, while modeling the possibility of converting between encodings within a Trotter step. The most efficient encoding choice is heavily dependent on the application and highly sensitive to d, although clear trends are present. These operation count reductions are relevant for running algorithms on near-term quantum hardware because the savings effectively decrease the required circuit depth. Results and procedures outlined in this work may be useful for simulating a broad class of Hamiltonians on qubit-based digital quantum computers.

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Dilution effects in spin 7/2 systems. The case of the antiferromagnet GdRhIn5

Cited by 26 publications

References 35 publications

Tuning the magnetic anisotropy in CeRhIn5 via Gd substitution

Tuning the magnetic anisotropy in CeRhIn5 via Gd substitution

On connectivity-dependent resource requirements for digital quantum simulation of $d$-level particles

Resource-efficient digital quantum simulation of d-level systems for photonic, vibrational, and spin-s Hamiltonians

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