Experimental state control by fast non-Abelian holonomic gates with a superconducting qutrit

S. Danilin, A. Vepsäläinen, G. S. Paraoanu

Research output: Contribution to journalArticleScientificpeer-review

16 Citations (Scopus)


Quantum state manipulation with gates based on geometric phases acquired during cyclic operations promises inherent fault-tolerance and resilience to local fluctuations in the control parameters. Here we create a general non-Abelian and non-adiabatic holonomic gate acting in the (|0},|2}) subspace of a three-level (qutrit) transmon device fabricated in a fully coplanar design. Experimentally, this is realized by simultaneously coupling the first two transitions by microwave pulses with amplitudes and phases defined such that the condition of parallel transport is fulfilled. We demonstrate the creation of arbitrary superpositions in this subspace by changing the amplitudes of the pulses and the relative phase between them. We use two-photon pulses acting in the holonomic subspace to reveal the coherence of the state created by the geometric gate pulses and to prepare different superposition states. We also test the action of holonomic NOT and Hadamard gates on superpositions in the (|0}, |2}) subspace.

Original languageEnglish
Article number055101
Pages (from-to)1-9
JournalPhysica Scripta
Issue number5
Publication statusPublished - 26 Mar 2018
MoE publication typeA1 Journal article-refereed


  • non-adiabatic geometric gates
  • quantum state manipulation
  • three-level superconducting quantum circuits

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