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Necessity of Superposition of Macroscopically Distinct States for Quantum Computational Speedup
Necessity of Superposition Macroscopically Distinct States Quantum Computational Speedup
2010/10/21
For quantum computation, we investigate the conjecture that superposition of macroscopically
distinct states is necessary for large quantum speedup. Although this conjecture was supported for a circu...
Quantum computational capability of a two-dimensional valence bond solid phase
Quantum computational capability two-dimensional valence bond solid phase
2010/10/20
Quantum phases of naturally-occurring systems exhibit rich nature as manifestation of their
many-body correlations, in contrast to our persistent technological challenge to build at will such correla...
The 2D AKLT state is a universal quantum computational resource
2D AKLT state universal quantum computational resource
2010/10/20
We demonstrate that the two-dimensional AKLT state on a honeycomb lattice is a universal
resource for measurement-based quantum computation. Our argument proceeds by reduction of
the AKLT state to a...
Statistical mechanics of classical and quantum computational complexity
Statistical mechanics classical quantum computational
2010/10/22
The quest for quantum computers is motivated by their potential for solving problems that defy
existing, classical, computers. The theory of computational complexity, one of the crown jewels of compu...