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Gapped two-body hamiltonian whose unique ground state is universal for one-way quantum computation
Xie Chen1, Bei Zeng, Zheng-Cheng Gu
1Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Physical Review Letters
|August 8, 2009
Summary
Researchers introduce a stable, accessible quantum state for quantum computation. This unique ground state, made of six-state particles on a hexagonal lattice, is the first of its kind for measurement-based quantum computation.
Area of Science:
- Condensed matter physics
- Quantum information science
- Quantum computation
Background:
- Many-body entangled quantum states are crucial for quantum information processing.
- Measurement-based quantum computation utilizes these states for universal computation.
- A key challenge is finding thermodynamically stable and experimentally accessible states.
Purpose of the Study:
- To introduce a novel, stable, and accessible quantum state for quantum computation.
- To demonstrate its potential as a unique ground state of a physically realistic Hamiltonian.
- To provide a general method for analyzing the properties of such states.
Main Methods:
- The study introduces a specific quantum state composed of six-state particles.
- These particles are arranged on a hexagonal lattice.
- The state's properties are analyzed using its projected entangled pair state (PEPS) representation.
Main Results:
- A novel quantum state with desirable properties for quantum computation has been identified.
- This state is the unique ground state of a Hamiltonian with two-body, nearest-neighbor interactions.
- The projected entangled pair state representation provides a viable method for analysis.
Conclusions:
- The discovered quantum state is a significant advancement for measurement-based quantum computation.
- Its thermodynamic stability and experimental accessibility make it a valuable resource.
- The employed analysis method offers a pathway for exploring similar quantum states.
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