Quantum Computing Analysis and Future
Explore the detailed analysis of two-qubit gates, Hamiltonian interactions, qubit design parameters, Ansys rendering, circuit simulations, and LOM analysis for quantum computing advancements. Discover what's next in LOM and EPR analysis, analytical calculations, and tunability improvements in quantum systems.
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Presentation Transcript
Two Qubits gate Qub-IT meeting 29/11/2023 A.S. Piedjou Komnang D. Labranca H. Corti R. Moretti S. Tocci L. Banchi
Hamiltonian, both qubits are strongly detuned from the resonator: = | | | | j g j qj r 1 2 1 2 1 1 ( ) + + + + + + H a a g g 1 2 1 2 1 2 r qj z j 1,2 = j 1 2 1 1 g g = + 1 2 2 J coupling strength 1 2 = 1 + 2 t ( ) 2 g g 1 2 1 2 iSWAP gate
2 Qubits design Two xmon with readout resonators capacitively connected at the same transmission line The readout resonators are set to 8 GHz Frequency of the bus resonator set to 5.5 GHz (half-wave with 7.9mm in length) Qubits frequencies are fixed The main qubits parameters are exactly the same
Rendering on Ansys Q3D capacitance matrix extraction
Lumped model: Circuit parameters From Q3D simulations: Parameter Value Parameter Value LJ - Junction inductance 10 nH CS - Qubit shunt 83.923 fF Cg Cg IC - Critical current Cc Cc 32.911 nA Cc - Coupling Q-Bus_R 1.946 fF CrLr CR - bus Resonator capacitance 368.440 fF Cg - Coupling Q-readout 4.643 fF expectations Ej = 16.34 GHz Ec = 230.84 MHz Ej/Ec 70.77 in the transmon regime
LOM simulation: Ej/Ec Sweep Lj [4, 12]nH = 79 10 E E for L nH j c j
Whats next?? Improve this LOM analysis EPR analysis ? Analytical calculations? Tunability ?
