Quantum localization bounds Trotter errors in digital quantum simulation
A fundamental challenge in digital quantum simulation (DQS) is the control of an inherent error, which appears when discretizing the time evolution of a quantum many-body system as a sequence of quantum gates, called Trotterization. Here, we show that quantum localization-by constraining the time ev...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
12 Apr 2019
|
| In: |
Science advances
Year: 2019, Jahrgang: 5, Heft: 4 |
| ISSN: | 2375-2548 |
| DOI: | 10.1126/sciadv.aau8342 |
| Online-Zugang: | Verlag, Volltext: https://doi.org/10.1126/sciadv.aau8342 Verlag, Volltext: https://advances.sciencemag.org/content/5/4/eaau8342 
|
| Verfasserangaben: | Markus Heyl, Philipp Hauke, Peter Zoller |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1677801786 | ||
| 003 | DE-627 | ||
| 005 | 20220816232713.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 190926s2019 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1126/sciadv.aau8342 |2 doi | |
| 035 | |a (DE-627)1677801786 | ||
| 035 | |a (DE-599)KXP1677801786 | ||
| 035 | |a (OCoLC)1341244719 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 29 |2 sdnb | ||
| 100 | 1 | |a Heyl, Markus Philip Ludwig |e VerfasserIn |0 (DE-588)1025522435 |0 (DE-627)72249565X |0 (DE-576)370450787 |4 aut | |
| 245 | 1 | 0 | |a Quantum localization bounds Trotter errors in digital quantum simulation |c Markus Heyl, Philipp Hauke, Peter Zoller |
| 264 | 1 | |c 12 Apr 2019 | |
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 26.09.2019 | ||
| 520 | |a A fundamental challenge in digital quantum simulation (DQS) is the control of an inherent error, which appears when discretizing the time evolution of a quantum many-body system as a sequence of quantum gates, called Trotterization. Here, we show that quantum localization-by constraining the time evolution through quantum interference-strongly bounds these errors for local observables, leading to an error independent of system size and simulation time. DQS is thus intrinsically much more robust than suggested by known error bounds on the global many-body wave function. This robustness is characterized by a sharp threshold as a function of the Trotter step size, which separates a localized region with controllable Trotter errors from a quantum chaotic regime. Our findings show that DQS with comparatively large Trotter steps can retain controlled errors for local observables. It is thus possible to reduce the number of gate operations required to represent the desired time evolution faithfully. - A many-body localization phenomenon boosts the accuracy of digital quantum simulation on quantum computers. - A many-body localization phenomenon boosts the accuracy of digital quantum simulation on quantum computers. | ||
| 700 | 1 | |a Hauke, Philipp |e VerfasserIn |0 (DE-588)1153847140 |0 (DE-627)1015396828 |0 (DE-576)50059760X |4 aut | |
| 700 | 1 | |a Zoller, Peter |d 1952- |e VerfasserIn |0 (DE-588)142186953 |0 (DE-627)704165554 |0 (DE-576)329380982 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Science advances |d Washington, DC [u.a.] : Assoc., 2015 |g 5(2019,4) Artikel-Nummer eaau8342, 9 Seiten |h Online-Ressource |w (DE-627)818494344 |w (DE-600)2810933-8 |w (DE-576)426498542 |x 2375-2548 |7 nnas |a Quantum localization bounds Trotter errors in digital quantum simulation |
| 773 | 1 | 8 | |g volume:5 |g year:2019 |g number:4 |a Quantum localization bounds Trotter errors in digital quantum simulation |
| 856 | 4 | 0 | |u https://doi.org/10.1126/sciadv.aau8342 |x Verlag |x Resolving-System |3 Volltext |
| 856 | 4 | 0 | |u https://advances.sciencemag.org/content/5/4/eaau8342 |x Verlag |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20190926 | ||
| 993 | |a Article | ||
| 994 | |a 2019 | ||
| 998 | |g 1153847140 |a Hauke, Philipp |m 1153847140:Hauke, Philipp |d 130000 |d 130700 |e 130000PH1153847140 |e 130700PH1153847140 |k 0/130000/ |k 1/130000/130700/ |p 2 | ||
| 999 | |a KXP-PPN1677801786 |e 3518151770 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"origin":[{"dateIssuedKey":"2019","dateIssuedDisp":"12 Apr 2019"}],"recId":"1677801786","language":["eng"],"id":{"doi":["10.1126/sciadv.aau8342"],"eki":["1677801786"]},"type":{"media":"Online-Ressource","bibl":"article-journal"},"note":["Gesehen am 26.09.2019"],"name":{"displayForm":["Markus Heyl, Philipp Hauke, Peter Zoller"]},"title":[{"title":"Quantum localization bounds Trotter errors in digital quantum simulation","title_sort":"Quantum localization bounds Trotter errors in digital quantum simulation"}],"person":[{"given":"Markus Philip Ludwig","role":"aut","display":"Heyl, Markus Philip Ludwig","family":"Heyl","roleDisplay":"VerfasserIn"},{"roleDisplay":"VerfasserIn","family":"Hauke","display":"Hauke, Philipp","given":"Philipp","role":"aut"},{"roleDisplay":"VerfasserIn","display":"Zoller, Peter","family":"Zoller","given":"Peter","role":"aut"}],"relHost":[{"name":{"displayForm":["American Association for the Advancement of Science"]},"part":{"text":"5(2019,4) Artikel-Nummer eaau8342, 9 Seiten","issue":"4","year":"2019","volume":"5"},"corporate":[{"role":"isb","display":"American Association for the Advancement of Science","roleDisplay":"Herausgebendes Organ"}],"origin":[{"publisherPlace":"Washington, DC [u.a.]","dateIssuedKey":"2015","dateIssuedDisp":"2015-","publisher":"Assoc."}],"disp":"Quantum localization bounds Trotter errors in digital quantum simulationScience advances","pubHistory":["1.2015 -"],"note":["Gesehen am 13.09.21"],"title":[{"title":"Science advances","title_sort":"Science advances"}],"type":{"bibl":"periodical","media":"Online-Ressource"},"language":["eng"],"id":{"eki":["818494344"],"zdb":["2810933-8"],"issn":["2375-2548"]},"physDesc":[{"extent":"Online-Ressource"}],"recId":"818494344"}]} | ||
| SRT | |a HEYLMARKUSQUANTUMLOC1220 | ||