Tim Möbus
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View article: Learning and certification of local time-dependent quantum dynamics and noise
Learning and certification of local time-dependent quantum dynamics and noise Open
Hamiltonian learning protocols are essential tools to benchmark quantum computers and simulators. Yet rigorous methods for time-dependent Hamiltonians and Lindbladians remain scarce despite their wide use. We close this gap by learning the…
View article: Learning Coulomb Potentials and Beyond with Fermions in Continuous Space
Learning Coulomb Potentials and Beyond with Fermions in Continuous Space Open
We present a modular algorithm for learning external potentials in continuous-space free-fermion models including Coulomb potentials in any dimension. Compared to the lattice-based approaches, the continuum presents new mathematical challe…
View article: Heisenberg-limited Hamiltonian learning continuous variable systems via engineered dissipation
Heisenberg-limited Hamiltonian learning continuous variable systems via engineered dissipation Open
Discrete and continuous variables oftentimes require different treatments in many learning tasks. Identifying the Hamiltonian governing the evolution of a quantum system is a fundamental task in quantum learning theory. While previous work…
View article: Unified Framework for Continuity of Sandwiched Rényi Divergences
Unified Framework for Continuity of Sandwiched Rényi Divergences Open
In this work, we prove uniform continuity bounds for entropic quantities related to the sandwiched Rényi divergences such as the sandwiched Rényi conditional entropy. We follow three different approaches: The first one is the “almost addit…
View article: Energy preserving evolutions over Bosonic systems
Energy preserving evolutions over Bosonic systems Open
The exponential convergence to invariant subspaces of quantum Markov semigroups plays a crucial role in quantum information theory. One such example is in bosonic error correction schemes, where dissipation is used to drive states back to …
View article: Multi-product Zeno effect with higher order convergence rates
Multi-product Zeno effect with higher order convergence rates Open
To implement the dynamics of a projected Hamiltonian or Lindbladian, the quantum Zeno effect is a fundamental quantum phenomenon that approximates the effective dynamic by intersecting the Hamiltonian or Lindblad evolution by any quantum o…
View article: On Strong Bounds for Trotter and Zeno Product Formulas with Bosonic Applications
On Strong Bounds for Trotter and Zeno Product Formulas with Bosonic Applications Open
The Trotter product formula and the quantum Zeno effect are both indispensable tools for constructing time-evolutions using experimentally feasible building blocks. In this work, we discuss assumptions under which quantitative bounds can b…
View article: Unified framework for continuity of sandwiched Rényi divergences
Unified framework for continuity of sandwiched Rényi divergences Open
In this work, we prove uniform continuity bounds for entropic quantities related to the sandwiched Rényi divergences such as the sandwiched Rényi conditional entropy. We follow three different approaches: The first one is the "almost addit…
View article: Dissipation-enabled bosonic Hamiltonian learning via new information-propagation bounds
Dissipation-enabled bosonic Hamiltonian learning via new information-propagation bounds Open
Reliable quantum technology requires knowledge of the dynamics governing the underlying system. This problem of characterizing and benchmarking quantum devices or experiments in continuous time is referred to as the Hamiltonian learning pr…
View article: Energy preserving evolutions over Bosonic systems
Energy preserving evolutions over Bosonic systems Open
The exponential convergence to invariant subspaces of quantum Markov semigroups plays a crucial role in quantum information theory. One such example is in bosonic error correction schemes, where dissipation is used to drive states back to …
View article: Optimal Convergence Rate in the Quantum Zeno Effect for Open Quantum Systems in Infinite Dimensions
Optimal Convergence Rate in the Quantum Zeno Effect for Open Quantum Systems in Infinite Dimensions Open
In open quantum systems, the quantum Zeno effect consists in frequent applications of a given quantum operation, e.g., a measurement, used to restrict the time evolution (due, for example, to decoherence) to states that are invariant under…
View article: Optimal convergence rate in the quantum Zeno effect for open quantum systems in infinite dimensions
Optimal convergence rate in the quantum Zeno effect for open quantum systems in infinite dimensions Open
In open quantum systems, the quantum Zeno effect consists in frequent applications of a given quantum operation, e.g.~a measurement, used to restrict the time evolution (due e.g.~to decoherence) to states that are invariant under the quant…
View article: Quantum Zeno effect generalized
Quantum Zeno effect generalized Open
The quantum Zeno effect, in its original form, uses frequent projective measurements to freeze the evolution of a quantum system that is initially governed by a fixed Hamiltonian. We generalize this effect simultaneously in three direction…