Quantum simulation of $ϕ^4$ theories in qudit systems

Kürkçüoğlu, Doğa Murat; Alam, M. Sohaib; Job, Joshua Adam; Li, Andy; Macridin, Alexandru; Perdue, G. N.; Providence, Stephen

doi:10.48550/arxiv.2108.13357

Cited by 8 publications

(9 citation statements)

References 19 publications

(28 reference statements)

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“…We used variational algorithms such as QAOA for qubits (mapped onto a single qudit) and qutrits as targets for our case-study. Our current results, similar to other applied quantum computing works for multimode cQED [37], are still limited on small proof-of-concept models, due to limitations in computational effort, realistic implementation and achievable fidelity. While we identified pathways to overcome such limitations, we should note that for the purpose of variational optimization there are multiple recent attempts to employ co-designed digital-analog approaches that are directly related to QOC as optimization algorithms [8,38,39], and might not require the burdens of high-fidelity gate synthesis.…”

Section: Discussion and Outlookmentioning

confidence: 90%

Numerical Gate Synthesis for Quantum Heuristics on Bosonic Quantum Processors

Özgüler,

Venturelli

2022

Preprint

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There is a recent surge of interest and insights regarding the interplay of quantum optimal control and variational quantum algorithms. We study the framework in the context of qudits which are, for instance, definable as controllable electromagnetic modes of a superconducting cavity system coupled to a transmon. By employing recent quantum optimal control approaches described in (Petersson and Garcia, 2021), we showcase control of single-qudit operations up to eight states, and two-qutrit operations, mapped respectively onto a single mode and two modes of the resonator. We discuss the results of numerical pulse engineering on the closed system for parametrized gates useful to implement qudit quantum approximate optimization (QAOA) algorithms. The results show that high fidelity (> 0.99) is achievable with sufficient computational effort on HPC for most cases under study, and extension to multiple modes and open, noisy systems are possible. The tailored pulses can be stored and used as calibrated primitives for a future compiler in cQED systems.

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Section: Discussion and Outlookmentioning

confidence: 90%

Numerical Gate Synthesis for Quantum Heuristics on Bosonic Quantum Processors

Özgüler,

Venturelli

2022

Preprint

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“…Note added.-Around the time when this research is finished, the papers [82,83] appear, which has some overlaps with discussions in our paper, including the field bases [82] and quantum simulation using qudits [83].…”

Section: Acknowledgementsmentioning

confidence: 93%

Some variational recipes for quantum field theories

Liu¹,

Li²,

Zheng³

et al. 2021

Preprint

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“…As another example, the quantum simulation of LGTs can be digitized such that plaquette interactions involving four-or higher-body terms arise as an effective interaction when a series of two-body local interactions are implemented with the use of mediating ancillary qubits [480,481]. Furthermore, higher-dimensional qudits might prove useful [482] in encoding multi-component fermions or scalar fields [483,484]. A great deal of research is anticipated to uncover the true power of quantum simulators for QFTs when such flexibility in the choice of simulation mode is allowed.…”

Section: Analog and Hybrid Approaches To Quantum Simulation Of Qftsmentioning

confidence: 99%

Quantum Simulation for High Energy Physics

Bauer¹,

Davoudi²,

Balantekin³

et al. 2022

Preprint

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It is for the first time that quantum simulation for High Energy Physics (HEP) is studied in the U.S. decadal particle-physics community planning, and in fact until recently, this was not considered a mainstream topic in the community. This fact speaks of a remarkable rate of growth of this subfield over the past few years, stimulated by the impressive advancements in Quantum Information Sciences (QIS) and associated technologies over the past decade, and the significant investment in this area by the government and private sectors in the U.S. and other countries. High-energy physicists have quickly identified problems of importance to our understanding of nature at the most fundamental level, from tiniest distances to cosmological extents, that are intractable with classical computers but may benefit from quantum advantage. They have initiated, and continue to carry out, a vigorous program in theory, algorithm, and hardware co-design for simulations of relevance to the HEP mission. This community whitepaper is an attempt to bring this exciting and yet challenging area of research to the spotlight, and to elaborate on what the promises, requirements, challenges, and potential solutions are over the next decade and beyond.

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Quantum simulation of $ϕ^4$ theories in qudit systems

Cited by 8 publications

References 19 publications

Numerical Gate Synthesis for Quantum Heuristics on Bosonic Quantum Processors

Numerical Gate Synthesis for Quantum Heuristics on Bosonic Quantum Processors

Some variational recipes for quantum field theories

Quantum Simulation for High Energy Physics

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