Energetics of quantum information processing

Abstract:
I present the main projects of my doctoral thesis, whose aim is to understand the energy requirements and limitations of quantum information processing. First, we demonstrate classical logic processing using a trapped-ion quantum computer.

A three-bit half-adder is implemented using electronic states of trapped ions. We discuss the energetics by measuring consumed power and theoretical modeling. Second, we investigate energy-fidelity trade-offs when implementing unitaries in driven quantum systems. The fidelity of the operation is quantified by tracing out the degrees of freedom of the driving system, and rigorous mathematical bounds are sought for fidelity guarantees independent of the unitary operation.

Finally, the implications of these mathematical bounds are explored in general quantum algorithms using the framework of Quantum Singular Value Transforms (QSVT), including the impact of error correction on error-energy scaling.