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Cited by 41Quantum Computing Algorithms and ArchitectureQuantum Information and CryptographyQuantum many-body systems

Quantum simulation of interacting high-dimensional systems: The influence of noise

Open access
Dür, Wolfgang, Bremner, Michael J., Briegel, Hans J.·2008·Physical Review A
DOI 10.1103/physreva.78.052325
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Abstract

We consider the simulation of interacting high-dimensional systems using pairwise interacting qubits. The main tool in this context is the generation of effective many-body interactions, and we examine a number of different protocols for obtaining them. These methods include the usage of higher-order processes (commutator method), unitary conjugation or graph state encoding, as well as teleportation-based approaches. We illustrate and compare these methods in detail and analyze the time cost for simulation. In the second part of the paper, we investigate the influence of noise on the simulation process. We concentrate on errors in the interaction Hamiltonians and consider two generic noise models: (i) timing errors in pairwise interactions and (ii) noisy pairwise interactions described by Master equations of Lindblad form. We analyze and compare the effect of noise for the different simulation methods and propose a way to significantly reduce the influence of noise by making use of entanglement purification together with a teleportation-based protocol.

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  • Open-system digital quantum simulators are typically not universal because they are not usually controllable in the sense of realizing an arbitrary quantum map.

    “OSDQSs are typically not universal since they are not usually controllable in the sense of realizing an arbitrary quantum map [133].”

    From Can one trust quantum simulators? (2012) · cites this paper as [133]

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Related

Authors
Dür, W., Bremner, M. J., & Briegel, H. J.
Affiliations
Austrian Academy of Sciences (AT)
ORCID
Venue
Physical Review A
Publisher
American Physical Society (APS)
Published
2008-11-14
Volume
78
Issue
5
ISSN
  • 0556-2791 (ISSN-L)
  • 1050-2947
  • 1094-1622
DOI
10.1103/physreva.78.052325
OpenAlex
W2090889097
Cited by
41
References
62
Citations by year
2026: 1 · 2025: 1 · 2024: 1 · 2023: 1 · 2022: 2 · 2021: 4 · 2020: 2 · 2018: 2 · 2017: 2 · 2016: 2 · 2015: 2 · 2014: 4 · 2013: 2 · 2012: 4
FWCI
5.26
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review A (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • UTS ePRESS (University of Technology Sydney) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
Keywords
quantum simulation, high-dimensional systems, qubit interactions, commutator method, unitary conjugation, quantum teleportation, noise, timing errors, Lindblad master equation, entanglement distillation

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