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Principles for Optimizing Quantum Transduction in Piezo-Optomechanical Systems
James Schneeloch, Erin Sheridan, A. Matthew Smith +5
Two-way microwave-optical quantum transduction is essential to connecting distant superconducting qubits via optical fiber, and to enable quantum networking at a large scale. In Bl…
Geometric aspects of mixed quantum states inside the Bloch sphere
Paul M. Alsing, Carlo Cafaro, Domenico Felice +1
When studying the geometry of quantum states, it is acknowledged that mixed states can be distinguished by infinitely many metrics. Unfortunately, this freedom causes metric-depend…
Upper limit on the acceleration of a quantum evolution in projective Hilbert space
Paul M. Alsing, Carlo Cafaro
It is remarkable that Heisenberg's position-momentum uncertainty relation leads to the existence of a maximal acceleration for a physical particle in the context of a geometric ref…
From the classical Frenet-Serret apparatus to the curvature and torsion of quantum-mechanical evolutions. Part II. Nonstationary Hamiltonians
Paul M. Alsing, Carlo Cafaro
We present a geometric perspective on how to quantify the bending and the twisting of quantum curves traced by state vectors evolving under nonstationary Hamiltonians. Specifically…
From the classical Frenet-Serret apparatus to the curvature and torsion of quantum-mechanical evolutions. Part I. Stationary Hamiltonians
Paul M. Alsing, Carlo Cafaro
It is known that the Frenet-Serret apparatus of a space curve in three-dimensional Euclidean space determines the local geometry of curves. In particular, the Frenet-Serret apparat…
Non-Reciprocity in Photon Polarization based on direction of polarizer under Gravitational Fields
Hansol Noh, Paul M. Alsing, Warner A. Miller +1
Unification of gravity with quantum mechanics is still a terra incognita. Photon polarization measurements offer a unique window for probing the interaction between these two funda…