Quantum entanglement in fermionic lattices
Open accessAbstract
The Fock space of a system of indistinguishable particles is isomorphic (in a nonunique way) to the state space of a composite, i.e., many modes, quantum system. One can then discuss quantum entanglement for fermionic as well as bosonic systems. We exemplify the use of this notion---central in quantum information---by studying some, e.g., Hubbard, lattice fermionic models relevant to condensed matter physics.
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The amount of entanglement quantified with some measure may depend on the chosen decomposition.
“the amount of entanglement quantified with some measure may depend on the chosen decomposition.”
From Entanglement of biphoton states: qutrits and ququarts (2011) · cites this paper as [5]
Entanglement can only be defined for a particular decomposition of a complex system into subsystems.
“entanglement can only be defined for a particular decomposition of a complex system into subsystems”
From Entanglement of biphoton states: qutrits and ququarts (2011) · cites this paper as [5]
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- Authors
- Zanardi, P.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2002-03-14
- Volume
- 65
- Issue
- 4
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2039714816
- Cited by
- 447
- References
- 12
- Citations by year
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- FWCI
- 15.60
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- quantum entanglement, Fock space, composite quantum systems, Hubbard model, condensed matter physics, quantum information
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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