Quantum Circuit Simulations and Electromagnetic Analyses in Quantum Photonics

Explore the world of quantum photonics with insights into two-qubit photon counters, jointed cavities, qubit pads, and quantum circuit simulations. Ansys simulations and experimental data by researchers Alessandro D'Elia and Claudio Gatti provide in-depth analysis of quantum phenomena. Discover the evolution of quantum states under various operations and the intricate coupling of qubits and resonators. Dive into pulse-level noisy quantum circuits and effective Hamiltonian models for advanced quantum gate operations.

• Quantum Photonics
• Ansys Simulations
• Quantum Circuit
• Qutip Library
• Two-Qubit Systems

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1. Two qubit photon counter Alessandro D Elia, Claudio Gatti LaboratoriNazionalidi Frascati: alessandro.delia@lnf.infn.it; claudio.gatti@lnf.infn.it;

2. Electromagnetic simulation of 3 jointed cavities Ansys simulations by S. Tocci Superior modes f> 10 GHz

3. Two jointed cavities with transmon inside Qubit rectangular pads Dimensionipad 556um x 144um Distanza pad JJ = 3.5mm Ljj= 10nH Cpads= 68.61 fF Qubit TL pad Dimensioni TL 556um x 2um Distanza TL JJ = 3.5mm Ljj= 10nH Cpads= 61.80 fF

4. Qubit rectangular pads Deff= 0.0163 m Delta_storage =g01/2pi = 4.7129 GHz Delta_readout =g01/2pi = 4.8047 GHz Ansys simulations by S. Tocci

5. Qubit pad TL Deff= 0.0242 m Delta_storage =g01/2pi = 5.73 GHz Delta_readout =g01/2pi = 5.84 GHz Ansys simulations by S. Tocci

6. Quantum circuit simulation We used qutip-qip library to simulate the quantum circuit of the photon counter Class: SCQubit. Can model N qubit coupled to a readout resonator 2 qubit (3 levels transmons) coupled to 1 readout resonator q1 /2 = 6,7 GHz q2 /2 = 6,6 GHz cr =O x= y=10 MHz T1=9 s T2=4 s r /2 = 8,8 GHz Pulse-level noisy quantum circuits with QuTiP Boxi Li et al Quantum 2022 g01 /2 = 100 MHz Effective Hamiltonian models of the cross-resonance gate Easwar Magesan and Jay M. Gambetta, PRA 2020

7. Quantum circuit simulation Calculate time evolution of state |0,0> after the application on both qubitsof: Rx= /2 Rz= Rx=- /2 Rx Rz Rx Fidelity with|1,1>=0,96 Fidelity with|1,1>=0,98 Fidelity with|1,1>=0,99 x= y=10 MHz x= y=60 MHz x= y=30 MHz