Efficiency of Ground State Quantum Computer

Details Efficiency of Ground State Quantum Computer Efficiency of Ground State Quantum Computer

2004-11-03

arxiv.org/abs/quant-ph/0411025v5

Physical Review A 71, 060309(R) (2005)

Physics

Quantum Physics

5 pages, 2 figures

Scientific paper

10.1103/PhysRevA.71.060309

The energy gap is calculated for the ground state quantum computer circuit, which was recently proposed by Mizel et.al. When implementing a quantum algorithm by Hamiltonians containing only pairwise interaction, the inverse of energy gap $1/\Delta$ is proportional to $N^{4k}$, where $N$ is the number of bits involved in the problem, and $N^k$ is the number of control operations performed in a standard quantum paradigm. Besides suppressing decoherence due to the energy gap, in polynomial time ground state quantum computer can finish the quantum algorithms that are supposed to be implemented by standard quantum computer in polynomial time.

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