Details
| Original language | English |
|---|---|
| Article number | 130501 |
| Journal | Physical Review Letters |
| Volume | 100 |
| Issue number | 13 |
| Publication status | Published - 31 Mar 2008 |
| Externally published | Yes |
Abstract
We introduce a unified formulation of variational methods for simulating ground state properties of quantum many-body systems. The key feature is a novel variational method over quantum circuits via infinitesimal unitary transformations, inspired by flow equation methods. Variational classes are represented as efficiently contractible unitary networks, including the matrix-product states of density matrix renormalization, multiscale entanglement renormalization (MERA) states, weighted graph states, and quantum cellular automata. In particular, this provides a tool for varying over classes of states, such as MERA, for which so far no efficient way of variation has been known. The scheme is flexible when it comes to hybridizing methods or formulating new ones. We demonstrate the functioning by numerical implementations of MERA, matrix-product states, and a new variational set on benchmarks.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Physical Review Letters, Vol. 100, No. 13, 130501, 31.03.2008.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Unifying variational methods for simulating quantum many-body systems
AU - Dawson, C. M.
AU - Eisert, J.
AU - Osborne, Tobias J.
N1 - Copyright: Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2008/3/31
Y1 - 2008/3/31
N2 - We introduce a unified formulation of variational methods for simulating ground state properties of quantum many-body systems. The key feature is a novel variational method over quantum circuits via infinitesimal unitary transformations, inspired by flow equation methods. Variational classes are represented as efficiently contractible unitary networks, including the matrix-product states of density matrix renormalization, multiscale entanglement renormalization (MERA) states, weighted graph states, and quantum cellular automata. In particular, this provides a tool for varying over classes of states, such as MERA, for which so far no efficient way of variation has been known. The scheme is flexible when it comes to hybridizing methods or formulating new ones. We demonstrate the functioning by numerical implementations of MERA, matrix-product states, and a new variational set on benchmarks.
AB - We introduce a unified formulation of variational methods for simulating ground state properties of quantum many-body systems. The key feature is a novel variational method over quantum circuits via infinitesimal unitary transformations, inspired by flow equation methods. Variational classes are represented as efficiently contractible unitary networks, including the matrix-product states of density matrix renormalization, multiscale entanglement renormalization (MERA) states, weighted graph states, and quantum cellular automata. In particular, this provides a tool for varying over classes of states, such as MERA, for which so far no efficient way of variation has been known. The scheme is flexible when it comes to hybridizing methods or formulating new ones. We demonstrate the functioning by numerical implementations of MERA, matrix-product states, and a new variational set on benchmarks.
UR - http://www.scopus.com/inward/record.url?scp=41549162006&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.100.130501
DO - 10.1103/PhysRevLett.100.130501
M3 - Article
AN - SCOPUS:41549162006
VL - 100
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 13
M1 - 130501
ER -