dorsal/arxiv
View SchemaReversible simulation of bipartite product Hamiltonians
| Authors | Andrew M. Childs, Debbie W. Leung, Guifre Vidal |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0303097 |
| URL | https://arxiv.org/abs/quant-ph/0303097 |
| DOI | 10.1109/TIT.2004.828069 |
| Journal | IEEE Trans. Inf. Theory Vol. 50, No. 6, 1189-1197 (2004) |
Abstract
Consider two quantum systems A and B interacting according to a product Hamiltonian H = H_A x H_B. We show that any two such Hamiltonians can be used to simulate each other reversibly (i.e., without efficiency losses) with the help of local unitary operations and local ancillas. Accordingly, all non-local features of a product Hamiltonian -- including the rate at which it can be used to produce entanglement, transmit classical or quantum information, or simulate other Hamiltonians -- depend only upon a single parameter. We identify this parameter and use it to obtain an explicit expression for the entanglement capacity of all product Hamiltonians. Finally, we show how the notion of simulation leads to a natural formulation of measures of the strength of a nonlocal Hamiltonian.
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"abstract": "Consider two quantum systems A and B interacting according to a product\nHamiltonian H = H_A x H_B. We show that any two such Hamiltonians can be used\nto simulate each other reversibly (i.e., without efficiency losses) with the\nhelp of local unitary operations and local ancillas. Accordingly, all non-local\nfeatures of a product Hamiltonian -- including the rate at which it can be used\nto produce entanglement, transmit classical or quantum information, or simulate\nother Hamiltonians -- depend only upon a single parameter. We identify this\nparameter and use it to obtain an explicit expression for the entanglement\ncapacity of all product Hamiltonians. Finally, we show how the notion of\nsimulation leads to a natural formulation of measures of the strength of a\nnonlocal Hamiltonian.",
"arxiv_id": "quant-ph/0303097",
"authors": [
"Andrew M. Childs",
"Debbie W. Leung",
"Guifre Vidal"
],
"categories": [
"quant-ph"
],
"doi": "10.1109/TIT.2004.828069",
"journal_ref": "IEEE Trans. Inf. Theory Vol. 50, No. 6, 1189-1197 (2004)",
"title": "Reversible simulation of bipartite product Hamiltonians",
"url": "https://arxiv.org/abs/quant-ph/0303097"
},
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