Andreas Blühm
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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: Certifying and learning quantum Ising Hamiltonians
Certifying and learning quantum Ising Hamiltonians Open
In this work, we study the problems of certifying and learning quantum Ising Hamiltonians. Our main contributions are as follows: Certification of Ising Hamiltonians. We show that certifying an Ising Hamiltonian in normalized Frobenius nor…
View article: Random measurements are almost maximally incompatible
Random measurements are almost maximally incompatible Open
In this work, we investigate the incompatibility of random quantum measurements. Most previous work has focused on characterizing the maximal amount of white noise that any fixed number of incompatible measurements with a fixed number of o…
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: A complexity theory for non-local quantum computation
A complexity theory for non-local quantum computation Open
Non-local quantum computation (NLQC) replaces a local interaction between two systems with a single round of communication and shared entanglement. Despite many partial results, it is known that a characterization of entanglement cost in a…
View article: Factorization of multimeters: a unified view on nonclassical quantum phenomena
Factorization of multimeters: a unified view on nonclassical quantum phenomena Open
Quantum theory exhibits various nonclassical features, such as measurement incompatibility, contextuality, steering, and Bell nonlocality, which distinguish it from classical physics. These phenomena are often studied separately, but they …
View article: On the simulation of quantum multimeters
On the simulation of quantum multimeters Open
In the quest for robust and universal quantum devices, the notion of simulation plays a crucial role, both from a theoretical and from an applied perspective. In this work, we go beyond the simulation of quantum channels and quantum measur…
View article: Belavkin-Staszewski Quantum Markov Chains
Belavkin-Staszewski Quantum Markov Chains Open
It is well-known that the conditional mutual information of a quantum state is zero if, and only if, the quantum state is a quantum Markov chain. Replacing the Umegaki relative entropy in the definition of the conditional mutual informatio…
View article: Rank Lower Bounds on Non-Local Quantum Computation
Rank Lower Bounds on Non-Local Quantum Computation Open
A non-local quantum computation (NLQC) replaces an interaction between two quantum systems with a single simultaneous round of communication and shared entanglement. We study two classes of NLQC, f-routing and f-BB84, which are of relevanc…
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: Going beyond gadgets: the importance of scalability for analogue quantum simulators
Going beyond gadgets: the importance of scalability for analogue quantum simulators Open
Quantum hardware has the potential to efficiently solve computationally difficult problems in physics and chemistry to reap enormous practical rewards. Analogue quantum simulation accomplishes this by using the dynamics of a controlled man…
View article: Hamiltonian Property Testing
Hamiltonian Property Testing Open
Locality is a fundamental feature of many physical time evolutions. Assumptions on locality and related structural properties also underlie recently proposed procedures for learning an unknown Hamiltonian from access to the induced time ev…
View article: On the simulation of quantum multimeters
On the simulation of quantum multimeters Open
In the quest for robust and universal quantum devices, the notion of simulation plays a crucial role, both from a theoretical and from an applied perspective. In this work, we go beyond the simulation of quantum channels and quantum measur…
View article: Strong decay of correlations for Gibbs states in any dimension
Strong decay of correlations for Gibbs states in any dimension Open
Quantum systems in thermal equilibrium are described using Gibbs states. The correlations in such states determine how difficult it is to describe or simulate them. In this article, we show that if the Gibbs state of a quantum system satis…
View article: Polytope compatibility—From quantum measurements to magic squares
Polytope compatibility—From quantum measurements to magic squares Open
Several central problems in quantum information theory (such as measurement compatibility and quantum steering) can be rephrased as membership in the minimal matrix convex set corresponding to special polytopes (such as the hypercube or it…
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: General Continuity Bounds for Quantum Relative Entropies
General Continuity Bounds for Quantum Relative Entropies Open
International audience
View article: Going Beyond Gadgets: The Importance of Scalability for Analogue Quantum Simulators
Going Beyond Gadgets: The Importance of Scalability for Analogue Quantum Simulators Open
Quantum hardware has the potential to efficiently solve computationally difficult problems in physics and chemistry to reap enormous practical rewards. Analogue quantum simulation accomplishes this by using the dynamics of a controlled man…
View article: Continuity of Quantum Entropic Quantities via Almost Convexity
Continuity of Quantum Entropic Quantities via Almost Convexity Open
International audience
View article: General Continuity Bounds for Quantum Relative Entropies
General Continuity Bounds for Quantum Relative Entropies Open
In this article, we generalize a proof technique by Alicki, Fannes and Winter and introduce a method to prove continuity bounds for entropic quantities derived from different quantum relative entropies. For the Umegaki relative entropy, we…
View article: Polytope compatibility -- from quantum measurements to magic squares
Polytope compatibility -- from quantum measurements to magic squares Open
Several central problems in quantum information theory (such as measurement compatibility and quantum steering) can be rephrased as membership in the minimal matrix convex set corresponding to special polytopes (such as the hypercube or it…
View article: Landauer Versus Nernst: What is the True Cost of Cooling a Quantum System?
Landauer Versus Nernst: What is the True Cost of Cooling a Quantum System? Open
Thermodynamics connects our knowledge of the world to our capability to manipulate and thus to control it. This crucial role of control is exemplified by the third law of thermodynamics, Nernst's unattainability principle, which states tha…
View article: Continuity of quantum entropic quantities via almost convexity
Continuity of quantum entropic quantities via almost convexity Open
Based on the proofs of the continuity of the conditional entropy by Alicki, Fannes, and Winter, we introduce in this work the almost locally affine (ALAFF) method. This method allows us to prove a great variety of continuity bounds for the…
View article: A tensor norm approach to quantum compatibility
A tensor norm approach to quantum compatibility Open
Measurement incompatibility is one of the most striking examples of how quantum physics is different from classical physics. Two measurements are incompatible if they cannot arise via classical post-processing from a third one. A natural w…
View article: Maximal violation of steering inequalities and the matrix cube
Maximal violation of steering inequalities and the matrix cube Open
In this work, we characterize the amount of steerability present in quantum theory by connecting the maximal violation of a steering inequality to an inclusion problem of free spectrahedra. In particular, we show that the maximal violation…
View article: Exponential decay of mutual information for Gibbs states of local Hamiltonians
Exponential decay of mutual information for Gibbs states of local Hamiltonians Open
The thermal equilibrium properties of physical systems can be described using Gibbs states. It is therefore of great interest to know when such states allow for an easy description. In particular, this is the case if correlations between d…