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Thermal states as universal resources for quantum computation with always-on interactions
Ying Li1, Daniel E Browne, Leong Chuan Kwek
1Centre for Quantum Technologies, National University of Singapore, Singapore.
Physical Review Letters
|September 10, 2011
Summary
Measurement-based quantum computation can be performed on thermal states, even with continuous interactions. Errors from thermal fluctuations can be corrected for fault-tolerant quantum computing below a critical temperature.
Area of Science:
- Quantum Information Science
- Quantum Computing
- Condensed Matter Physics
Background:
- Measurement-based quantum computation typically requires switching off qubit interactions.
- The impact of continuous interactions and thermal states on these computations is not well understood.
Purpose of the Study:
- To investigate the feasibility of measurement-based quantum computation with always-on interactions in thermal states.
- To explore error correction strategies for thermal noise in such systems.
Main Methods:
- Proposed a model spin Hamiltonian to simulate the system.
- Analyzed the behavior of qubits in a thermal state with continuous interactions.
Main Results:
- Demonstrated that measurement-based quantum computation is achievable on thermal states with always-on interactions.
- Showed that computational errors due to thermal fluctuations can be corrected.
- Identified a threshold temperature below which fault-tolerant computation is possible.
Conclusions:
- Measurement-based quantum computation is robust to thermal noise and continuous interactions under specific conditions.
- Fault-tolerant quantum computation may be achievable in realistic, non-ideal environments.
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