Exact gravitational self-energy of transmon-based measurement apparatus

Determine the exact gravitational self-energy of the mass involved in a superconducting transmon quantum computer's measurement and control apparatus—comprising silicon chips, waveguides, and microwave emitters—to enable precise evaluation of objective-reduction collapse-time predictions in the reported partial-measurement experiment.

Background

The Diósi–Penrose model links objective wavefunction reduction to the gravitational self-energy difference of superposed mass configurations, implying that accurate collapse-time predictions require a precise value of this self-energy.

In the experiment, a partial measurement on a qubit conditionally drives operations in the classical microwave control electronics associated with different qubits, potentially creating distinct macroscopic mass configurations. The authors state that the exact gravitational self-energy of the relevant hardware assembly (silicon chips, waveguides, and microwave emitters) is not currently known, motivating a concrete determination to interpret and design tests of gravitationally induced collapse.