Determining the Efficacy of different parameterizations of the z-expansion

Gustafson, Erik; Meurice, Yannick

doi:10.22323/1.334.0291

Cited by 3 publications

(4 citation statements)

References 7 publications

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“…Practical implementations are discussed in Refs. [70][71][72]. The next steps are their counterparts with a continuous and compact Abelian Uð1Þ symmetry [22,51,73,74].…”

Section: Discussionmentioning

confidence: 99%

Discrete aspects of continuous symmetries in the tensorial formulation of Abelian gauge theories

Meurice

2020

Phys. Rev. D

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We show that standard identities and theorems for lattice models with Uð1Þ symmetry get reexpressed discretely in the tensorial formulation of these models. We also explain the geometrical analogy between the continuous lattice equations of motion and the discrete selection rules of the tensors. We further construct a gauge-invariant transfer matrix in arbitrary dimensions, show the equivalence with its gaugefixed version in a maximal temporal gauge, and explain how a discrete Gauss's law is always enforced. Moreover, we propose a noise-robust way to implement Gauss's law in arbitrary dimensions, and we reformulate Noether's theorem for global, local, continuous, or discrete Abelian symmetries: for each given symmetry, there is one corresponding tensor redundancy. We discuss semiclassical approximations for classical solutions with periodic boundary conditions in two solvable cases, and we show the correspondence of their weak coupling limit with the tensor formulation after Poisson summation. Finally, we briefly discuss connections with other approaches and implications for quantum computing.

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“…Practical implementations are discussed in Refs. [70][71][72]. The next steps are their counterparts with a continuous and compact Abelian Uð1Þ symmetry [22,51,73,74].…”

Section: Discussionmentioning

confidence: 99%

Discrete aspects of continuous symmetries in the tensorial formulation of Abelian gauge theories

Meurice

2020

Phys. Rev. D

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“…This could be a direct consequence of the many transitions that must be addressed on a chip consisting of several qubits with only slightly different transition frequency (the so‐called frequency crowding). In fact, recent quantum simulations of similar models performed on a 20‐qubit quantum hardware show that a proper accounting of such errors is essential to obtain a reasonable agreement with expected results …”

Section: Experimental Achievements and Prospective Technologiesmentioning

confidence: 99%

“…Nevertheless, similar conclusions apply here as already given for the trapped ion quantum hardware: despite considerable progress and the first attempts at performing full digital quantum simulations, several challenges need to be addressed before quantitative and not only qualitative accuracy be reached, especially on larger system sizes and running deeper quantum circuits. Specifically, a deeper understanding of error and noise sources, as well as suitable strategies to mitigate them on hardware with larger number of qubits is crucial at this NISQ stage, which will be the focus of intense research and development in the coming years.…”

Section: Experimental Achievements and Prospective Technologiesmentioning

confidence: 99%

Quantum Computers as Universal Quantum Simulators: State‐of‐the‐Art and Perspectives

et al. 2019

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The past few years have witnessed the concrete and fast spreading of quantum technologies for practical computation and simulation. In particular, quantum computing platforms based on either trapped ions or superconducting qubits have become available for simulations and benchmarking, with up to few tens of qubits that can be reliably initialized, controlled, and measured. The present Review aims at giving a comprehensive outlook on the state‐of‐the‐art capabilities offered from these near‐term noisy devices as universal quantum simulators, that is, programmable quantum computers potentially able to calculate the time evolution of many physical models. First, a pedagogic overview on the basic theoretical background pertaining digital quantum simulations is given, with a focus on hardware‐dependent mapping of spin‐type Hamiltonians into the corresponding quantum circuit as a key initial step toward simulating more complex models. Then, the main experimental achievements obtained in the last decade are reviewed, focusing on the digital quantum simulation of such spin models by employing two leading quantum architectures. Their performances are compared, and future challenges are outlined, also in view of prospective hybrid technologies, towards the ultimate goal of reaching the long‐sought quantum advantage for the simulation of complex many‐body models in the physical sciences.

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“…In order to fit the q 2 dependence we use the z-expansion [18] and map the physical q 2 range to within the unit circle via the change of variables…”

Section: Extrapolation To the Physical Pointmentioning

confidence: 99%

$B_c \rightarrow J/\psi$ Form Factors and $R(J/\psi)$ using Lattice QCD

Harrison¹,

Davies²,

Lytle³

2020

Proceedings of 18th International Conference on B-Physics at Frontier Machines — PoS(Beauty2019)

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We present a lattice QCD determination of the B c → J/ψ vector and axial-vector form factors over the full physical q 2 range with non-perturbatively renormalised lattice currents. Our calculation uses the Highly Improved Staggered Quark (HISQ) action on the second generation MILC gluon ensembles including light, strange and charm sea quarks. We use HISQ heavy quarks, with a range of masses going up to the b on our finest lattices. Finally we use these form factors to compute the differential decay rates and construct the ratio of decay rates R(J/ψ) = Γ(B c → J/ψτ − ν τ)/Γ(B c → J/ψℓ − ν ℓ) where ℓ is either a muon or electron.

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Determining the Efficacy of different parameterizations of the z-expansion

Cited by 3 publications

References 7 publications

Discrete aspects of continuous symmetries in the tensorial formulation of Abelian gauge theories

Discrete aspects of continuous symmetries in the tensorial formulation of Abelian gauge theories

Quantum Computers as Universal Quantum Simulators: State‐of‐the‐Art and Perspectives

$B_c \rightarrow J/\psi$ Form Factors and $R(J/\psi)$ using Lattice QCD

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