dorsal/arxiv
View SchemaQuantum states far from the energy eigenstates of any local Hamiltonian
| Authors | Henry L. Haselgrove, Michael A. Nielsen, Tobias J. Osborne |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0303022 |
| URL | https://arxiv.org/abs/quant-ph/0303022 |
| DOI | 10.1103/PhysRevLett.91.210401 |
| Journal | Phys. Rev. Lett. 91, 210401 (2003) |
Abstract
What quantum states are possible energy eigenstates of a many-body Hamiltonian? Suppose the Hamiltonian is non-trivial, i.e., not a multiple of the identity, and L-local, in the sense of containing interaction terms involving at most L bodies, for some fixed L. We construct quantum states \psi which are ``far away'' from all the eigenstates E of any non-trivial L-local Hamiltonian, in the sense that |\psi-E| is greater than some constant lower bound, independent of the form of the Hamiltonian.
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"abstract": "What quantum states are possible energy eigenstates of a many-body\nHamiltonian? Suppose the Hamiltonian is non-trivial, i.e., not a multiple of\nthe identity, and L-local, in the sense of containing interaction terms\ninvolving at most L bodies, for some fixed L. We construct quantum states \\psi\nwhich are ``far away\u0027\u0027 from all the eigenstates E of any non-trivial L-local\nHamiltonian, in the sense that |\\psi-E| is greater than some constant lower\nbound, independent of the form of the Hamiltonian.",
"arxiv_id": "quant-ph/0303022",
"authors": [
"Henry L. Haselgrove",
"Michael A. Nielsen",
"Tobias J. Osborne"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.91.210401",
"journal_ref": "Phys. Rev. Lett. 91, 210401 (2003)",
"title": "Quantum states far from the energy eigenstates of any local Hamiltonian",
"url": "https://arxiv.org/abs/quant-ph/0303022"
},
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