dorsal/arxiv
View SchemaEfficiency of Ground State Quantum Computer
| Authors | Wenjin Mao |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0411025 |
| URL | https://arxiv.org/abs/quant-ph/0411025 |
| DOI | 10.1103/PhysRevA.71.060309 |
| Journal | Physical Review A 71, 060309(R) (2005) |
Abstract
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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"abstract": "The energy gap is calculated for the ground state quantum computer circuit,\nwhich was recently proposed by Mizel et.al. When implementing a quantum\nalgorithm by Hamiltonians containing only pairwise interaction, the inverse of\nenergy gap $1/\\Delta$ is proportional to $N^{4k}$, where $N$ is the number of\nbits involved in the problem, and $N^k$ is the number of control operations\nperformed in a standard quantum paradigm. Besides suppressing decoherence due\nto the energy gap, in polynomial time ground state quantum computer can finish\nthe quantum algorithms that are supposed to be implemented by standard quantum\ncomputer in polynomial time.",
"arxiv_id": "quant-ph/0411025",
"authors": [
"Wenjin Mao"
],
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"quant-ph",
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"doi": "10.1103/PhysRevA.71.060309",
"journal_ref": "Physical Review A 71, 060309(R) (2005)",
"title": "Efficiency of Ground State Quantum Computer",
"url": "https://arxiv.org/abs/quant-ph/0411025"
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