Search Results - "Salzmann, Robert"
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1
Training deep quantum neural networks
Published in Nature communications (10-02-2020)“…Neural networks enjoy widespread success in both research and industry and, with the advent of quantum technology, it is a crucial challenge to design quantum…”
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2
Symmetric distinguishability as a quantum resource
Published in New journal of physics (01-08-2021)“…Abstract We develop a resource theory of symmetric distinguishability, the fundamental objects of which are elementary quantum information sources, i.e…”
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Parallelization of Adaptive Quantum Channel Discrimination in the Non-Asymptotic Regime
Published in IEEE transactions on information theory (01-04-2024)“…We investigate the performance of parallel and adaptive quantum channel discrimination strategies for a finite number of channel uses. It has recently been…”
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4
Derivation of 3D Energy-Critical Nonlinear Schrödinger Equation and Bogoliubov Excitations for Bose Gases
Published in Communications in mathematical physics (01-04-2020)“…We derive the 3D quintic NLS as the mean field limit of a Bose gas with three-body interactions. The quintic NLS is energy-critical, leading to several new…”
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5
Quantum Zeno Effect in Open Quantum Systems
Published in Annales Henri Poincaré (01-11-2021)“…We prove the quantum Zeno effect in open quantum systems whose evolution, governed by quantum dynamical semigroups, is repeatedly and frequently interrupted by…”
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6
Quantitative Quantum Zeno and Strong Damping Limits in Strong Topology
Published 10-09-2024“…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…”
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7
Total insecurity of communication via strong converse for quantum privacy amplification
Published 22-02-2022“…Quantum privacy amplification is a central task in quantum cryptography. Given shared randomness, which is initially correlated with a quantum system held by…”
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Optimal Fidelity Estimation from Binary Measurements for Discrete and Continuous Variable Systems
Published 06-09-2024“…Estimating the fidelity between a desired target quantum state and an actual prepared state is essential for assessing the success of experiments. For pure…”
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9
Interpolating between symmetric and asymmetric hypothesis testing
Published 19-04-2021“…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…”
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10
Robustness of Fixed Points of Quantum Channels and Application to Approximate Quantum Markov Chains
Published 02-05-2024“…Given a quantum channel and a state which satisfy a fixed point equation approximately (say, up to an error $\varepsilon$), can one find a new channel and a…”
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11
Composite Classical and Quantum Channel Discrimination
Published 03-03-2023“…We study the problem of binary composite channel discrimination in the asymmetric setting, where the hypotheses are given by fairly arbitrary sets of channels,…”
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12
Learning Quantum Processes with Memory -- Quantum Recurrent Neural Networks
Published 19-01-2023“…Recurrent neural networks play an important role in both research and industry. With the advent of quantum machine learning, the quantisation of recurrent…”
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13
Convergence rates for the Trotter-Kato splitting
Published 04-07-2024“…We study convergence rates of the Trotter-Kato splitting $e^{A+L} = \lim_{n \to \infty} (e^{L/n} e^{A/n})^n$ in the strong operator topology. In the first…”
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14
Parallelization of Adaptive Quantum Channel Discrimination in the Non-Asymptotic Regime
Published 17-01-2024“…IEEE Transactions on Information Theory, Volume 70, Issue 4, Pages 2617--2636, April 2024 We investigate the performance of parallel and adaptive quantum…”
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15
Modeling accounting year dependence in runoff triangles
Published in European actuarial journal (01-12-2012)“…Typically, non-life insurance claims data is studied in claims development triangles which display the two time axes accident years and development years. Most…”
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16
Infinite Dimensional Asymmetric Quantum Channel Discrimination
Published 24-08-2023“…We study asymmetric binary channel discrimination, for qantum channels acting on separable Hilbert spaces. We establish quantum Stein's lemma for channels for…”
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17
The $\alpha \to 1$ Limit of the Sharp Quantum R\'enyi Divergence
Published 12-02-2021“…J. Math. Phys. 62, 092205 (2021) Fawzi and Fawzi recently defined the sharp R\'enyi divergence, $D_\alpha^\#$, for $\alpha \in (1, \infty)$, as an additional…”
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18
An invitation to the sample complexity of quantum hypothesis testing
Published 26-03-2024“…Quantum hypothesis testing (QHT) has been traditionally studied from the information-theoretic perspective, wherein one is interested in the optimal decay rate…”
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19
Quantum Zeno effect for open quantum systems
Published 08-10-2020“…We prove the quantum Zeno effect in open quantum systems whose evolution, governed by quantum dynamical semigroups, is repeatedly and frequently interrupted by…”
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20
Derivation of 3D energy-critical nonlinear Schr\"odinger equation and Bogoliubov excitations for Bose gases
Published 22-10-2018“…We derive the 3D quintic NLS as the mean field limit of a Bose gas with three-body interactions. The quintic NLS is energy-critical, leading to several new…”
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