Transitions in the computational power of thermal states for measurement-based quantum computation Export

@article{citeulike:3069843, abstract = {The quantum state of a many-body system can serve as a resource for a method of quantum computing based solely on adaptive local measurements. We show that the usefulness of the thermal state of a specific spin-lattice model for measurement-based quantum computing exhibits a transition between two distinct "phases" - one in which every state is a universal resource for quantum computation, and another in which any local measurement sequence can be simulated efficiently on a classical computer. Remarkably, this transition in computational power does not coincide with any phase transition in the underlying model; indeed this model does not possess any phase transitions, classical or quantum.}, archivePrefix = {arXiv}, author = {Barrett, Sean D. and Bartlett, Stephen D. and Doherty, Andrew C. and Jennings, David and Rudolph, Terry}, citeulike-article-id = {3069843}, citeulike-linkout-0 = {http://arxiv.org/abs/0807.4797}, citeulike-linkout-1 = {http://arxiv.org/pdf/0807.4797}, day = {30}, eprint = {0807.4797}, month = {Jul}, posted-at = {2008-08-01 02:52:43}, priority = {2}, title = {Transitions in the computational power of thermal states for measurement-based quantum computation}, url = {http://arxiv.org/abs/0807.4797}, year = {2008} }

TY - JOUR ID - citeulike:3069843 L3 - citeulike-article-id:3069843 N2 - The quantum state of a many-body system can serve as a resource for a method of quantum computing based solely on adaptive local measurements. We show that the usefulness of the thermal state of a specific spin-lattice model for measurement-based quantum computing exhibits a transition between two distinct "phases" - one in which every state is a universal resource for quantum computation, and another in which any local measurement sequence can be simulated efficiently on a classical computer. Remarkably, this transition in computational power does not coincide with any phase transition in the underlying model; indeed this model does not possess any phase transitions, classical or quantum. TI - Transitions in the computational power of thermal states for measurement-based quantum computation AU - Barrett, Sean AU - Bartlett, Stephen AU - Doherty, Andrew AU - Jennings, David AU - Rudolph, Terry PY - 2008/Jul/30/ UR - http://arxiv.org/abs/0807.4797 ER -