Superconducting-circuit based platforms are strong contenders in the race to build a quantum computer.While the transmon has had extraordinary success as the leading superconducting qubit modality, there are reasons to believe that other types of qubits could possess relative benefits in terms of noise immunity, anharmonicity, or extensibility. In this...
Quantum mechanical phenomena are playing tremendous roles in many areas of chemistry and materials science research. In recent years, the potential role of coupling between electronic and vibrational degrees of freedom in photochemical processes has been widely researched. Despite its potential to improve molecular technologies, the lack of studies focusing...
The last two decades have seen tremendous growth in the development of techniquesfor molecular state control. The goal of achieving complete control over the quantum states
of a molecule is motivated by a plethora of applications ranging from many-body physics
to precise tests of fundamental physics. The level of control...
Future large-scale quantum networks will likely require more efficient on-chip devices for quantum key distribution (QKD) systems that can exploit CMOS manufacturing techniques. QKD systems on chip have been produced in a number of material platforms including silicon, indium phosphide, and a range of hybrid structures. Advanced industrial silicon-electronics manufacturing...
Superconducting qubits are among the leading competitors in the race towards building the first full-fledged quantum computer. Using this platform, researchers have for the first time demonstrated computational capability that is beyond the reach of the current classical machines. (This achievement is nicknamed "Quantum Supremacy".) Up to date, however, the...
Superconducting circuits are electrical circuits fabricated from superconducting materials. Due to the engineered strong interactions and suppressed sensitivity to environmental noise, such systems hold substantial promise as quantum bits, in which quantum information can be stored and manipulated with high fidelity. Over the decades, great efforts have been devoted to...
Techniques for achieving complete quantum control over atoms have been developed and perfected over the past four decades with great success. This work has led to multiple Nobel prizes and has been the catalyst for rapid advances in a broad array of research fields. A natural progression forward is to...
This thesis contains results in mathematical quantum ergodicity in a probabilistic or a complex analytic setting. For the former, we show that a random orthonormal basis of spherical harmonics is almost surely quantum ergodic, in which the randomness is induced by the generalized Wigner ensemble. For the latter, we show...