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Efficient Quantum Algorithms for Simulating Sparse Hamiltonians
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“The operators b i k , b † i k can always be mapped to products of Pauli matrices, i.e., nonlocal spin operators, using the Jordan-Wigner transformation”
From Quantum Simulation of Interacting Fermion Lattice Models in Trapped Ions (2012) · cites this paper as [28]
In the citing paper
“Only in one spatial dimension, and for couplings extended to a reduced number of neighbors, the correspondence is from a local model to a similar one [28].”
From Quantum Simulation of Interacting Fermion Lattice Models in Trapped Ions (2012) · cites this paper as [28]
In the citing paper
“We map products of fermionic operators onto nonlocal spin operators and decompose the resulting dynamics in efficient steps with Trotter methods, yielding an overall protocol that employs only polynomial resources.”
From Quantum Simulation of Interacting Fermion Lattice Models in Trapped Ions (2012) · cites this paper as [28]
In the citing paper
“This technique establishes a correspondence between a set of fermionic operators and a set of spin operators, transforming a local Hamiltonian of fermions onto a nonlocal Hamiltonian of spins.”
From Quantum Simulation of Interacting Fermion Lattice Models in Trapped Ions (2012) · cites this paper as [28]
In the citing paper
“After the four photons pass through PBS 3 , PBS 4 and PBS 5 , we observed the Hong-Ou-Mandel type interference among the four photons [20, 21].”
From Experimental Quantum Computing to Solve Systems of Linear Equations (2013) · cites this paper as [20]
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Explicit block encodings of boundary value problems for many-body elliptic operators
Kharazi, T., Alkadri, A. M., Liu, J.-P., Mandadapu, K. K., & Whaley, K. B. (2025) · Quantum · doi:10.22331/q-2025-06-04-1764 · Cited by 16
Metadata
- Authors
- Berry, D. W., Ahokas, G., Cleve, R., & Sanders, B. C.
- Affiliations
- The University of Queensland (AU)
- University of Calgary (CA)
- University of Waterloo (CA)
- Venue
- Communications in Mathematical Physics
- Published
- 2006-12-14
- Volume
- 270
- Issue
- 2
- Pages
- 359-371
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2064906820
- Cited by
- 692
- References
- 15
- Citations by year
- 2026: 47 · 2025: 109 · 2024: 83 · 2023: 95 · 2022: 54 · 2021: 63 · 2020: 38 · 2019: 36 · 2018: 23 · 2017: 22 · 2016: 14 · 2015: 18 · 2014: 23 · 2013: 14 · 2012: 18
- FWCI
- 6.09
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Communications in Mathematical Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Keywords
- quantum simulation, sparse Hamiltonians, quantum algorithms, quantum state evolution, sublinear time complexity, time complexity lower bounds
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