Combinatorial structure of a holonomic controlled phase gate

Details Combinatorial structure of a holonomic controlled phase gate Combinatorial structure of a holonomic controlled phase gate

2011-12-16

arxiv.org/abs/1112.3762v1

Physics

Quantum Physics

5 pages, talk given at the conference on Foundations of Probability and Physics-6 (FPP6), V\"axj\"o, June 13-16, 2011

Scientific paper

We investigate the combinatorial structures of a holonomic controlled quantum gate based on toric varieties. In particular, we in detail discuss the combinatorial structures of a two-qubit holonomic controlled quantum gate on a two-qubit, a three-qubit, and a four-qubit quantum states. Our results show interesting relations between toric varieties of qubit systems and action of a two-qubit holonomic quantum gate on multi-qubit states.

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