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| Hauptseite > Publikationsdatenbank > Calculating response functions of coupled oscillators using quantum phase estimation > print |
| Hauptseite > Publikationsdatenbank > Calculating response functions of coupled oscillators using quantum phase estimation > print |
| 001 | 1038554 | ||
| 005 | 20250203103342.0 | ||
| 024 | 7 | _ | |a 10.48550/ARXIV.2405.08694 |2 doi |
| 037 | _ | _ | |a FZJ-2025-01537 |
| 041 | _ | _ | |a English |
| 100 | 1 | _ | |a Danz, Sven |0 P:(DE-Juel1)192152 |b 0 |e Corresponding author |u fzj |
| 245 | _ | _ | |a Calculating response functions of coupled oscillators using quantum phase estimation |
| 260 | _ | _ | |c 2024 |b arXiv |
| 336 | 7 | _ | |a Preprint |b preprint |m preprint |0 PUB:(DE-HGF)25 |s 1738315678_12725 |2 PUB:(DE-HGF) |
| 336 | 7 | _ | |a WORKING_PAPER |2 ORCID |
| 336 | 7 | _ | |a Electronic Article |0 28 |2 EndNote |
| 336 | 7 | _ | |a preprint |2 DRIVER |
| 336 | 7 | _ | |a ARTICLE |2 BibTeX |
| 336 | 7 | _ | |a Output Types/Working Paper |2 DataCite |
| 520 | _ | _ | |a We study the problem of estimating frequency response functions of systems of coupled, classical harmonic oscillators using a quantum computer. The functional form of these response functions can be mapped to a corresponding eigenproblem of a Hermitian matrix $H$, thus suggesting the use of quantum phase estimation. Our proposed quantum algorithm operates in the standard $s$-sparse, oracle-based query access model. For a network of $N$ oscillators with maximum norm $\lVert H \rVert_{\mathrm{max}}$, and when the eigenvalue tolerance $\varepsilon$ is much smaller than the minimum eigenvalue gap, we use $\mathcal{O}(\log(N s \lVert H \rVert_{\mathrm{max}}/\varepsilon)$ algorithmic qubits and obtain a rigorous worst-case query complexity upper bound $\mathcal{O}(s \lVert H \rVert_{\mathrm{max}}/(δ^2 \varepsilon) )$ up to logarithmic factors, where $δ$ denotes the desired precision on the coefficients appearing in the response functions. Crucially, our proposal does not suffer from the infamous state preparation bottleneck and can as such potentially achieve large quantum speedups compared to relevant classical methods. As a proof-of-principle of exponential quantum speedup, we show that a simple adaptation of our algorithm solves the random glued-trees problem in polynomial time. We discuss practical limitations as well as potential improvements for quantifying finite size, end-to-end complexities for application to relevant instances. |
| 536 | _ | _ | |a 5221 - Advanced Solid-State Qubits and Qubit Systems (POF4-522) |0 G:(DE-HGF)POF4-5221 |c POF4-522 |f POF IV |x 0 |
| 536 | _ | _ | |a ML4Q - Machine Learning for Quantum (101120240) |0 G:(EU-Grant)101120240 |c 101120240 |f HORIZON-MSCA-2022-DN-01 |x 1 |
| 536 | _ | _ | |a Verbundprojekt, Quantum Artificial Intelligence for the Automotive Industry (Q(AI)2) - Teilvorhaben: Implementierung, Benchmarking, und Management (13N15584) |0 G:(BMBF)13N15584 |c 13N15584 |x 2 |
| 588 | _ | _ | |a Dataset connected to DataCite |
| 650 | _ | 7 | |a Quantum Physics (quant-ph) |2 Other |
| 650 | _ | 7 | |a FOS: Physical sciences |2 Other |
| 700 | 1 | _ | |a Berta, Mario |0 P:(DE-HGF)0 |b 1 |
| 700 | 1 | _ | |a Schröder, Stefan |0 P:(DE-Juel1)176448 |b 2 |u fzj |
| 700 | 1 | _ | |a Kienast, Pascal |0 P:(DE-HGF)0 |b 3 |
| 700 | 1 | _ | |a Wilhelm-Mauch, Frank |0 P:(DE-Juel1)184630 |b 4 |u fzj |
| 700 | 1 | _ | |a Ciani, Alessandro |0 P:(DE-Juel1)187048 |b 5 |u fzj |
| 773 | _ | _ | |a 10.48550/ARXIV.2405.08694 |y 2024 |t Quantum Physics |
| 909 | C | O | |o oai:juser.fz-juelich.de:1038554 |p openaire |p VDB |p ec_fundedresources |
| 910 | 1 | _ | |a Forschungszentrum Jülich |0 I:(DE-588b)5008462-8 |k FZJ |b 0 |6 P:(DE-Juel1)192152 |
| 910 | 1 | _ | |a Forschungszentrum Jülich |0 I:(DE-588b)5008462-8 |k FZJ |b 2 |6 P:(DE-Juel1)176448 |
| 910 | 1 | _ | |a Forschungszentrum Jülich |0 I:(DE-588b)5008462-8 |k FZJ |b 4 |6 P:(DE-Juel1)184630 |
| 910 | 1 | _ | |a Forschungszentrum Jülich |0 I:(DE-588b)5008462-8 |k FZJ |b 5 |6 P:(DE-Juel1)187048 |
| 913 | 1 | _ | |a DE-HGF |b Key Technologies |l Natural, Artificial and Cognitive Information Processing |1 G:(DE-HGF)POF4-520 |0 G:(DE-HGF)POF4-522 |3 G:(DE-HGF)POF4 |2 G:(DE-HGF)POF4-500 |4 G:(DE-HGF)POF |v Quantum Computing |9 G:(DE-HGF)POF4-5221 |x 0 |
| 914 | 1 | _ | |y 2024 |
| 920 | _ | _ | |l yes |
| 920 | 1 | _ | |0 I:(DE-Juel1)PGI-12-20200716 |k PGI-12 |l Quantum Computing Analytics |x 0 |
| 980 | _ | _ | |a preprint |
| 980 | _ | _ | |a VDB |
| 980 | _ | _ | |a I:(DE-Juel1)PGI-12-20200716 |
| 980 | _ | _ | |a UNRESTRICTED |
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