Constructions for quantum computing with symmetrized gates

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作者：

Computer and Automation Research Institute, Hungarian Academy of Sciences, Kende u. 13-17, Budapest, H-1111, Hungary ^{[1
]}

不详 ^{[2
]}

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来源：

Quantum Inf. Comput. | 2008年 / 5卷 / 0411-0429期

关键词：

Quantum optics - Logic gates - Quantum computers;

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摘要：

We investigate constructions for simulating quantum computers with a polynomial slowdown on ensembles composed of qubits on which symmetrized versions of one- and two-qubit gates can be performed. The simulation is based on taking Lie commutators of symmetrized Hamiltonians to extract Hamiltonians at desired local positions. During the simulation, only a part of the qubits can be used for storing information, the others are left unchanged by the commutators. We propose constructions for various symmetry groups where a pretty large fraction of the qubits can be used. As a few of the other qubits need to be set to one, our construction requires individual initialization of some of the qubits. © Rinton Press.

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