DocumentCode :
997733
Title :
Reversible simulation of bipartite product Hamiltonians
Author :
Childs, Andrew M. ; Leung, Debbie W. ; Vidal, Guifré
Author_Institution :
Center for Theor. Phys., Massachusetts Inst. of Technol., Cambridge, MA, USA
Volume :
50
Issue :
6
fYear :
2004
fDate :
6/1/2004 12:00:00 AM
Firstpage :
1189
Lastpage :
1197
Abstract :
Consider two quantum systems A and B interacting according to a product Hamiltonian H=HA⊖HB. 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 nonlocal 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.
Keywords :
channel capacity; information theory; quantum communication; quantum entanglement; spin Hamiltonians; bipartite product Hamiltonians; channel capacity; classical information transmission; entanglement capacity; local ancillas; local unitary operation; quantum control; quantum information theory; reversible simulation; Contracts; Equations; Information theory; National security; Physics; Quantum entanglement; Quantum mechanics; Research and development; Upper bound; Channel capacity; Hamiltonian simulation; entanglement; quantum control; quantum information theory;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2004.828069
Filename :
1302297
Link To Document :
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