2018/03/26 by S. Danilin, S Danilin, A. Vepsäläinen +3 · 3 citations
Computer Science · Materials Science · Physics and Astronomy · #Amplitude #Diamond and Carbon-based Materials Research #Holonomic #Mechanical and Optical Resonators #Quantum #Quantum Information and Cryptography #Quantum gate #Qutrit #State (computer science) #Superposition principle #Topology (electrical circuits) #Transmon #quant-ph
paper · pdf · doi:10.1088/1402-4896/aab084
published as Phys. Scr. 93 (2018) 055101 (9pp)
openalex publication_date 2018/03/26 · arxiv created 2018/04/05 · arxiv updated 2018/04/06 · openalex created_date 2018/04/06 · openalex updated_date 2026/08/05
Abstract 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 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mo stretchy="false">(</mml:mo> <mml:mo stretchy="false">∣</mml:mo> <mml:mn>0</mml:mn> <mml:mo stretchy="false">〉</mml:mo> <mml:mo>,</mml:mo> <mml:mo stretchy="false">∣</mml:mo> <mml:mn>2</mml:mn> <mml:mo stretchy="false">〉</mml:mo> <mml:mo stretchy="false">)</mml:mo> </mml:math> subspace.