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Topological Quantum Gate Construction by Iterative Pseudogroup Hashing
Topological Quantum Gate Construction Iterative Pseudogroup Hashing
2010/10/21
We describe the hashing technique to obtain a fast approximation of a target quantum gate in the unitary group SU(2) represented by a product of the elements ofa universal basis. The hashing exploits ...
Topological quantum order: stability under local perturbations
Topological quantum order local perturbations
2010/3/10
We study zero-temperature stability of topological phases of matter under weak time-independent perturbations. Our results apply to quantum spin Hamiltonians that can be written as a sum of geometrica...
Fidelity in topological quantum phases of matter
Fidelity topological quantum phases of matter
2010/4/16
Quantum phase transitions that take place between two distinct topological phases remain an unexplored area for the applicability of the fidelity approach. Here, we apply this method to spin systems i...