On the Creation of a Deeper Insight Into What May Underlie Quantum Physical Law.- The Measurement Theory of Everett and de Broglie's Pilot Wave.- Quantum Mechanics and Determinism.- On Hidden Variables and Quantum Mechanical Probabilities.- Experimental Status of Hidden Variable Theories.- Pre-Quantum Mechanics Introduction to Models with Hidden Variables.- On the Foundations of Quantum Physics.- Quantum Logic: Is It Necessarily Orthocomplemented ?.- The Stochastic Interpretation of Quantum Mechanics and the Theory of Measurement.- Statistical Ensembles in Quantum Mechanics.- Conditional Probability in Wave Mechanics.- Classical Electrodynamics in Terms of a Direct Interparticle Hamiltonian.- Theory of One-Dimensional Relativistic Elastic Continuum for the Model of Particles and Resonances.- On the Photon Theory of L. de Broglie.- From the Photon to the Graviton and to a General Theory of Corpuscular Waves.- Possible Implications of de Broglie's Wave-Mechanical Theory of Photon Behaviour.- Index of Names.
Hamiltonians of the superconducting qubits of transmon type involve nonzero
ZZ interaction terms due to their finite and small anharmonicities. These terms might lead to the unwanted accumulation of spurious phases during the execution of the two-qubit gates. Exact calculation of the
ZZ interaction rates requires the full diagonalization of the circuit Hamiltonians, which very quickly becomes computationally demanding as the number of the modes in the coupler circuit increases. Here we propose a direct analytical method for the accurate estimation of the
ZZ interaction rates between low-anharmonicity qubits in the dispersive limit of the multimode circuit quantum electrodynamics (circuit QED). We observe very good agreement between the predictions of our method and the measurement data collected from the multiqubit devices.
It is shown that the on-energy-shell single-particle scattering amplitudes obtained from the minimal-coupling and the multipolar forms of the Hamiltonian in non-relativistic quantum electrodynamics are equal to order e 2 ; both forms of the Hamiltonian thus lead to the same differential cross section for Kramers-Heisenberg scattering. The proof given is based directly on the relations which hold between the two transition matrices and is simpler than a previous proof which relied on sum rules derived from the canonical commutation relations. The proof is also more general in that the multipolar Hamiltonian is defined in terms of line integrals along paths which are not assumed to be straight lines but which can be chosen from a large class of possible curves.