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Time evolution of controlled many-body quantum systems with matrix product operators
Llorenç Balada Gaggioli, Jakub Mareček
We present a method for describing the time evolution of many-body controlled quantum systems using matrix product operators (MPOs). Existing techniques for solving the time-depend…
Deep Learning as the Disciplined Construction of Tame Objects
Gilles Bareilles, Allen Gehret, Johannes Aspman +2
One can see deep-learning models as compositions of functions within the so-called tame geometry. In this expository note, we give an overview of some topics at the interface of ta…
Unitary Gate Synthesis via Polynomial Optimization
Llorenç Balada Gaggioli, Denys I. Bondar, Jiri Vala +2
Quantum optimal control plays a crucial role in the development of quantum technologies, particularly in the design and implementation of fast and accurate gates for quantum comput…
Undecidable problems associated with variational quantum algorithms
Georgios Korpas, Vyacheslav Kungurtsev, Jakub Mareček
Variational Quantum Algorithms (VQAs), such as the Variational Quantum Eigensolver (VQE) and the Quantum Approximate Optimization Algorithm (QAOA), are widely studied as candidates…
Geometric quantum control and the random Schrödinger equation
Rufus Lawrence, Aleš Wodecki, Johannes Aspman +2
Understanding and mitigating noise in quantum systems is a fundamental challenge in achieving scalable and fault-tolerant quantum computation. Error modeling for quantum systems ca…
Bias Detection via Maximum Subgroup Discrepancy
Jiří Němeček, Mark Kozdoba, Illia Kryvoviaz +2
Bias evaluation is fundamental to trustworthy AI, both in terms of checking data quality and in terms of checking the outputs of AI systems. In testing data quality, for example, o…