712 citations · 771 across the 19 of their papers we have counts for
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Hypercontractivity and entropy decay for infinite-dimensional quantum Gibbs samplers
Simon Becker, Cambyse Rouzé, Robert Salzmann
We derive rates of exponential relative-entropy decay for a broad class of infinite-dimensional quantum Gibbs samplers. A key technical ingredient is a perturbative stability theor…
Discriminating Lindbladian Dynamics
Robert Salzmann, Ludovico Lami, Martin B. Plenio +1
The fundamental task of quantum hypothesis testing, which consists in discriminating quantum objects, has been extensively studied for quantum states and channels. Here, we investi…
Transmitting algebras through quantum channels
Robert Salzmann, Satvik Singh
We develop a theory of exact transmission of finite-dimensional -algebras through quantum channels. These algebras describe hybrid classical-quantum information, allowing the…
Computing the free energy of quantum Coulomb gases and molecules via quantum Gibbs sampling
Simon Becker, Cambyse Rouzé, Robert Salzmann
We develop a quantum Gibbs-sampling approach to free-energy estimation for trapped systems of distinguishable particles with Coulomb interactions in dimensions . The s…
Simulating Thermal Properties of Bose-Hubbard Models on a Quantum Computer
Simon Becker, Cambyse Rouzé, Robert Salzmann
While recent advances have established efficient quantum algorithms for preparing Gibbs states of finite-dimensional systems, comparable complexity results for bosonic and other in…
Quantum Gibbs Sampling in Infinite Dimensions: Generation, Mixing Times and Circuit Implementation
Simon Becker, Cambyse Rouzé, Robert Salzmann
We develop a rigorous and implementable framework for Gibbs sampling of infinite-dimensional quantum systems governed by unbounded Hamiltonians. Extending dissipative Gibbs sampler…
Quantitative Quantum Zeno and Strong Damping Limits in Strong Topology
Robert Salzmann
Frequent applications of a mixing quantum operation to a quantum system slow down its time evolution and eventually drive it into the invariant subspace of the named operation. We…
Optimal Fidelity Estimation from Binary Measurements for Discrete and Continuous Variable Systems
Omar Fawzi, Aadil Oufkir, Robert Salzmann
Estimating the fidelity between a desired target quantum state and an actual prepared state is essential for assessing the success of experiments. For pure target states, we use fu…
Robustness of Fixed Points of Quantum Channels and Application to Approximate Quantum Markov Chains
Robert Salzmann, Bjarne Bergh, Nilanjana Datta
Given a quantum channel and a state which satisfy a fixed point equation approximately (say, up to an error ), can one find a new channel and a state, which are respec…
An invitation to the sample complexity of quantum hypothesis testing
Hao-Chung Cheng, Nilanjana Datta, Nana Liu +3
Quantum hypothesis testing (QHT) has been traditionally studied from the information-theoretic perspective, wherein one is interested in the optimal decay rate of error probabiliti…
Infinite Dimensional Asymmetric Quantum Channel Discrimination
Bjarne Bergh, Jan Kochanowski, Robert Salzmann +1
We study asymmetric binary channel discrimination, for qantum channels acting on separable Hilbert spaces. We establish quantum Stein's lemma for channels for both adaptive and par…
Composite Classical and Quantum Channel Discrimination
Bjarne Bergh, Nilanjana Datta, Robert Salzmann
We study the problem of binary composite channel discrimination in the asymmetric setting, where the hypotheses are given by fairly arbitrary sets of channels, and samples do not h…
Learning Quantum Processes with Memory -- Quantum Recurrent Neural Networks
Dmytro Bondarenko, Robert Salzmann, Viktoria-S. Schmiesing
Recurrent neural networks play an important role in both research and industry. With the advent of quantum machine learning, the quantisation of recurrent neural networks has becom…
Parallelization of Adaptive Quantum Channel Discrimination in the Non-Asymptotic Regime
Bjarne Bergh, Nilanjana Datta, Robert Salzmann +1
We investigate the performance of parallel and adaptive quantum channel discrimination strategies for a finite number of channel uses. It has recently been shown that, in the asymm…
Total insecurity of communication via strong converse for quantum privacy amplification
Robert Salzmann, Nilanjana Datta
Quantum privacy amplification is a central task in quantum cryptography. Given shared randomness, which is initially correlated with a quantum system held by an eavesdropper, the g…
Interpolating between symmetric and asymmetric hypothesis testing
Robert Salzmann, Nilanjana Datta
The task of binary quantum hypothesis testing is to determine the state of a quantum system via measurements on it, given the side information that it is in one of two possible sta…
The Limit of the Sharp Quantum Rényi Divergence
Bjarne Bergh, Robert Salzmann, Nilanjana Datta
Fawzi and Fawzi recently defined the sharp Rényi divergence, , for , as an additional quantum Rényi divergence with nice mathematical properties and appli…
Symmetric distinguishability as a quantum resource
Robert Salzmann, Nilanjana Datta, Gilad Gour +2
We develop a resource theory of symmetric distinguishability, the fundamental objects of which are elementary quantum information sources, i.e., sources that emit one of two possib…
Quantum Zeno effect for open quantum systems
Simon Becker, Nilanjana Datta, Robert Salzmann
We prove the quantum Zeno effect in open quantum systems whose evolution, governed by quantum dynamical semigroups, is repeatedly and frequently interrupted by the action of a quan…
Efficient Learning for Deep Quantum Neural Networks
Kerstin Beer, Dmytro Bondarenko, Terry Farrelly +3
Neural networks enjoy widespread success in both research and industry and, with the imminent advent of quantum technology, it is now a crucial challenge to design quantum neural n…