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Resource quality of a symmetry-protected topologically ordered phase for quantum computation
Jacob Miller1, Akimasa Miyake1
1Center for Quantum Information and Control, Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131, USA.
Physical Review Letters
|April 11, 2015
Summary
Entangled ground states in a 1D topological phase can perform quantum computations. This phase enables universal quantum gate operations, crucial for teleportation-based quantum computing.
Area of Science:
- Condensed Matter Physics
- Quantum Information Science
Background:
- Topologically ordered phases in one dimension (1D) possess unique ground state properties.
- Symmetry protection plays a crucial role in stabilizing these topological phases.
Purpose of the Study:
- To explore the potential of entanglement in 1D topologically ordered phases for quantum computation.
- To investigate the feasibility of using these phases for teleportation-based quantum computation.
Main Methods:
- Analysis of entanglement properties within the 1D topologically ordered phase.
- Investigation of ground state capabilities for implementing one-qubit gate operations.
- Utilizing state-insensitive renormalization procedures and string order parameters.
Main Results:
- Ground states within this phase exhibit inherent capabilities for universal one-qubit gate operations.
- Perfect gate fidelity is achieved asymptotically under specific conditions.
- This fidelity correlates with perfect string order parameters.
Conclusions:
- The 1D topologically ordered phase is a promising resource for quantum computation.
- The findings suggest a new paradigm for classifying quantum many-body systems based on their computational utility.
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