5 papers · 1 filter
Reachability and optimal-time certificates for quantum control
Younes Naceur, Llorenç Balada Gaggioli
Finite-time control is central to quantum technologies, yet rigorous limits on reachable targets and optimal control times remain largely unknown. We develop a framework for finite…
Low-rank geometry of two-qubit gates
Llorenç Balada Gaggioli
We present a framework based on the determinantal geometry of two-qubit gates. Combining the Weyl chamber representation with operator Schmidt theory, we interpret gate synthesis a…
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…
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…
Time evolution of controlled many-body quantum systems with matrix product operators
Llorenç Balada Gaggioli, Jakub MareÄek
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…