Quantum Control at the Boundary: an application to quantum circuits
Aitor Balmaseda

TL;DR
This paper proves that quantum systems on graphs can be approximately controlled through boundary conditions, establishing a theoretical foundation for boundary control in quantum circuits.
Contribution
It provides the first rigorous proof of the feasibility of quantum control at the boundary for systems on graphs.
Findings
Proves approximate controllability using boundary conditions
Establishes a theoretical foundation for boundary quantum control
Builds on simplified previous results
Abstract
Approximate controllability for a quantum system on a graph using as control parameters boundary conditions will be proven. This establishes a first theoretical proof of the feasibility of the quantum control at the boundary paradigm. A simplified version of this results can be found in arXiv:1811.09541.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Information and Cryptography · Spectral Theory in Mathematical Physics
