Unfrustrated qudit chains and their ground states

We investigate chains of d-dimensional quantum spins (qudits) on a line with generic nearest-neighbor interactions without translational invariance. We find the conditions under which these systems are not frustrated, that is, when the ground states are also the common ground states of all the local...

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Bibliographic Details
Main Authors: Movassagh, Ramis (Contributor), Farhi, Edward (Contributor), Goldstone, Jeffrey (Contributor), Nagaj, Daniel (Author), Osborne, Tobias J. (Author), Shor, Peter W. (Contributor)
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics (Contributor), Massachusetts Institute of Technology. Department of Mathematics (Contributor), Massachusetts Institute of Technology. Department of Physics (Contributor)
Format: Article
Language:English
Published: American Physical Society, 2011-01-14T13:36:08Z.
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Online Access:Get fulltext
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100 1 0 |a Movassagh, Ramis  |e author 
100 1 0 |a Massachusetts Institute of Technology. Center for Theoretical Physics  |e contributor 
100 1 0 |a Massachusetts Institute of Technology. Department of Mathematics  |e contributor 
100 1 0 |a Massachusetts Institute of Technology. Department of Physics  |e contributor 
100 1 0 |a Shor, Peter W.  |e contributor 
100 1 0 |a Movassagh, Ramis  |e contributor 
100 1 0 |a Farhi, Edward  |e contributor 
100 1 0 |a Goldstone, Jeffrey  |e contributor 
100 1 0 |a Shor, Peter W.  |e contributor 
700 1 0 |a Farhi, Edward  |e author 
700 1 0 |a Goldstone, Jeffrey  |e author 
700 1 0 |a Nagaj, Daniel  |e author 
700 1 0 |a Osborne, Tobias J.  |e author 
700 1 0 |a Shor, Peter W.  |e author 
245 0 0 |a Unfrustrated qudit chains and their ground states 
260 |b American Physical Society,   |c 2011-01-14T13:36:08Z. 
856 |z Get fulltext  |u http://hdl.handle.net/1721.1/60561 
520 |a We investigate chains of d-dimensional quantum spins (qudits) on a line with generic nearest-neighbor interactions without translational invariance. We find the conditions under which these systems are not frustrated, that is, when the ground states are also the common ground states of all the local terms in the Hamiltonians. The states of a quantum spin chain are naturally represented in the matrix product states (MPS) framework. Using imaginary time evolution in the MPS ansatz, we numerically investigate the range of parameters in which we expect the ground states to be highly entangled and find them hard to approximate using our MPS method. 
520 |a National Science Foundation (U.S.) (Grant No. CCF-0829421) 
520 |a United States. Dept. of Energy (Cooperative Research Agreement No. DE-FG02-94ER40818) 
520 |a W.M. Keck Foundation (Center for extreme Quantum Information Theory (xQIT)) 
520 |a United States. Army Research Office (Grant No. W911NF-09-1-0438) 
520 |a National Science Foundation (U.S.) (Grant No. CCF-0829421) 
520 |a Slovak Research and Development Agency (Contract No. APVV LPP- 0430-09) 
520 |a European project (OP CE QUTE ITMS NFP 26240120009) 
546 |a en_US 
655 7 |a Article 
773 |t Physical Review A