Self-Correcting Quantum Computers
| Autor: | Bombin, H., Chhajlany, R. W., Horodecki, M., Martin-Delgado, M. A. |
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| Rok vydání: | 2009 |
| Předmět: | |
| Zdroj: | New J. Phys. 15 (2013) 055023 |
| Druh dokumentu: | Working Paper |
| Popis: | Is the notion of a quantum computer resilient to thermal noise unphysical? We address this question from a constructive perspective and show that local quantum Hamiltonian models provide self-correcting quantum computers. To this end, we first give a sufficient condition on the connect- edness of excitations for a stabilizer code model to be a self-correcting quantum memory. We then study the two main examples of topological stabilizer codes in arbitrary dimensions and establish their self-correcting capabilities. Also, we address the transversality properties of topological color codes, showing that 6D color codes provide a self-correcting model that allows the transversal and local implementation of a universal set of operations in seven spatial dimensions. Finally, we give a procedure to initialize such quantum memories at finite temperature. Comment: RevTeX, 24 pages, version revised to increase readability: added sketch of proof of stability criterion, rewritten section on implementation of quantum computation, revised introduction and conclusions |
| Databáze: | arXiv |
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