90 citations · 552 across the 18 of their papers we have counts for
18 papers
Annihilating and breaking Lorentz cone entanglement
Francesca La Piana, Alexander Müller-Hermes
Linear maps between finite-dimensional ordered vector spaces with orders induced by proper cones and are called entanglement breaking if their partial application sends…
Fault-tolerant Coding for Entanglement-Assisted Communication
Paula Belzig, Matthias Christandl, Alexander Müller-Hermes
Channel capacities quantify the optimal rates of sending information reliably over noisy channels. Usually, the study of capacities assumes that the circuits which sender and recei…
Monogamy of entanglement between cones
Guillaume Aubrun, Alexander Müller-Hermes, Martin Plávala
A separable quantum state shared between parties and can be symmetrically extended to a quantum state shared between party and parties for every $k\in…
Characterizing Schwarz maps by tracial inequalities
Eric A. Carlen, Alexander Müller-Hermes
Let be a linear map from the matrices to the matrices . It is known that is -positive if and only if for all $K\…
A lower bound on the space overhead of fault-tolerant quantum computation
Omar Fawzi, Alexander Müller-Hermes, Ala Shayeghi
The threshold theorem is a fundamental result in the theory of fault-tolerant quantum computation stating that arbitrarily long quantum computations can be performed with a polylog…
Annihilating Entanglement Between Cones
Guillaume Aubrun, Alexander Müller-Hermes
Every multipartite entangled quantum state becomes fully separable after an entanglement breaking quantum channel acted locally on each of its subsystems. Whether there are other q…
Fault-tolerant Coding for Quantum Communication
Matthias Christandl, Alexander Müller-Hermes
Designing encoding and decoding circuits to reliably send messages over many uses of a noisy channel is a central problem in communication theory. When studying the optimal transmi…
Cutting cakes and kissing circles
Alexander Müller-Hermes
To divide a cake into equal sized pieces most people use a knife and a mixture of luck and dexterity. These attempts are often met with varying success. Through precise geometric c…
A refinement of Reznick's Positivstellensatz with applications to quantum information theory
Alexander Müller-Hermes, Ion Nechita, David Reeb
In his solution of Hilbert's 17th problem Artin showed that any positive definite polynomial in several variables can be written as the quotient of two sums of squares. Later Rezni…
High-Dimensional Entanglement in States with Positive Partial Transposition
Marcus Huber, Ludovico Lami, Cécilia Lancien +1
Genuine high-dimensional entanglement, i.e. the property of having a high Schmidt number, constitutes a resource in quantum communication, overcoming limitations of low-dimensional…
Sandwiched Rényi Convergence for Quantum Evolutions
Alexander Müller-Hermes, Daniel Stilck Franca
We study the speed of convergence of a primitive quantum time evolution towards its fixed point in the distance of sandwiched Rényi divergences. For each of these distance measures…
Relative Entropy Bounds on Quantum, Private and Repeater Capacities
Matthias Christandl, Alexander Müller-Hermes
We find a strong-converse bound on the private capacity of a quantum channel assisted by unlimited two-way classical communication. The bound is based on the max-relative entropy o…
Monotonicity of the Quantum Relative Entropy Under Positive Maps
Alexander Müller-Hermes, David Reeb
We prove that the quantum relative entropy decreases monotonically under the application of any positive trace-preserving linear map, for underlying separable Hilbert spaces. This…
Relative Entropy Convergence for Depolarizing Channels
Alexander Müller-Hermes, Daniel Stilck Franca, Michael M. Wolf
We study the convergence of states under continuous-time depolarizing channels with full rank fixed points in terms of the relative entropy. The optimal exponent of an upper bound…
Entropy Production of Doubly Stochastic Quantum Channels
Alexander Müller-Hermes, Daniel Stilck Franca, Michael M. Wolf
We study the entropy increase of quantum systems evolving under primitive, doubly stochastic Markovian noise and thus converging to the maximally mixed state. This entropy increase…
Positivity of linear maps under tensor powers
Alexander Müller-Hermes, David Reeb, Michael M. Wolf
We investigate linear maps between matrix algebras that remain positive under tensor powers, i.e., under tensoring with copies of themselves. Completely positive and completely…
Tensor network techniques for the computation of dynamical observables in 1D quantum spin systems
Alexander Müller-Hermes, J. Ignacio Cirac, Mari Carmen Bañuls
We analyze the recently developed folding algorithm [Phys. Rev. Lett. 102, 240603 (2009)] to simulate the dynamics of infinite quantum spin chains, and relate its performance to th…
Complete devil's staircase and crystal--superfluid transitions in a dipolar XXZ spin chain: A trapped ion quantum simulation
Philipp Hauke, Fernando M. Cucchietti, Alexander Müller-Hermes +3
Systems with long-range interactions show a variety of intriguing properties: they typically accommodate many meta-stable states, they can give rise to spontaneous formation of sup…