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Non-Pauli topological stabilizer codes from twisted quantum doubles
Julio Carlos Magdalena de la Fuente, Nicolas Tarantino, Jens Eisert
It has long been known that long-ranged entangled topological phases can be exploited to protect quantum information against unwanted local errors. Indeed, conditions for intrinsic…
Bounding the resources for thermalizing many-body localized systems
Carlo Sparaciari, Marcel Goihl, Paul Boes +2
Understanding under which conditions physical systems thermalize is a long-standing question in many-body physics. While generic quantum systems thermalize, there are known instanc…
Stationary optomechanical entanglement between a mechanical oscillator and its measurement apparatus
C. Gut, K. Winkler, J. Hoelscher-Obermaier +9
We provide an argument to infer stationary entanglement between light and a mechanical oscillator based on continuous measurement of light only. We propose an experimentally realiz…
Harnessing symmetry-protected topological order for quantum memories
Marcel Goihl, Nathan Walk, Jens Eisert +1
Spin chains with symmetry-protected edge modes are promising candidates to realize intrinsically robust physical qubits that can be used for the storage and processing of quantum i…
By-passing fluctuation theorems
Paul Boes, Rodrigo Gallego, Nelly H. Y. Ng +2
Fluctuation theorems impose constraints on possible work extraction probabilities in thermodynamical processes. These constraints are stronger than the usual second law, which is c…
Sample complexity of device-independently certified "quantum supremacy"
Dominik Hangleiter, Martin Kliesch, Jens Eisert +1
Results on the hardness of approximate sampling are seen as important stepping stones towards a convincing demonstration of the superior computational power of quantum devices. The…
Single-shot holographic compression from the area law
Henrik Wilming, Jens Eisert
The area law conjecture states that the entanglement entropy of a region of space in the ground state of a gapped, local Hamiltonian only grows like the surface area of the region.…
Von Neumann entropy from unitarity
P. Boes, J. Eisert, R. Gallego +2
The von Neumann entropy is a key quantity in quantum information theory and, roughly speaking, quantifies the amount of quantum information contained in a state when many identical…
Equilibration times in closed quantum many-body systems
H. Wilming, T. R. de Oliveira, A. J. Short +1
For a quantum system to be captured by a stationary statistical ensemble, as is common in thermodynamics and statistical mechanics, it is necessary that it reaches some apparently…
Quantum work statistics and resource theories: bridging the gap through Renyi divergences
G. Guarnieri, N. H. Y. Ng, K. Modi +3
The work performed on or extracted from a non-autonomous quantum system described by means of a two-point projective-measurement approach takes the form of a stochastic variable. W…
Catalytic quantum randomness
P. Boes, H. Wilming, R. Gallego +1
Randomness is a defining element of mixing processes in nature and an essential ingredient to many protocols in quantum information. In this work, we investigate how much randomnes…
Entanglement-ergodic quantum systems equilibrate exponentially well
Henrik Wilming, Marcel Goihl, Ingo Roth +1
One of the outstanding problems in non-equilibrium physics is to precisely understand when and how physically relevant observables in many-body systems equilibrate under unitary ti…
What it takes to shun equilibration
R. Gallego, H. Wilming, J. Eisert +1
Numerous works have shown that under mild assumptions unitary dynamics inevitably leads to equilibration of physical expectation values if many energy eigenstates contribute to the…
A fermionic de Finetti theorem
C. Krumnow, Z. Zimboras, J. Eisert
Quantum versions of de Finetti's theorem are powerful tools, yielding conceptually important insights into the security of key distribution protocols or tomography schemes and allo…
Statistical ensembles without typicality
Paul Boes, Henrik Wilming, Jens Eisert +1
Maximum-entropy ensembles are key primitives in statistical mechanics from which thermodynamic properties can be derived. Over the decades, several approaches have been put forward…
Towards local equilibration in closed interacting quantum many-body systems
H. Wilming, M. Goihl, C. Krumnow +1
One of the main questions of research on quantum many-body systems following unitary out of equilibrium dynamics is to find out how local expectation values equilibrate in time. Fo…
Strong coupling corrections in quantum thermodynamics
M. Perarnau-Llobet, H. Wilming, A. Riera +2
Quantum systems strongly coupled to many-body systems equilibrate to the reduced state of a global thermal state, deviating from the local thermal state of the system as it occurs…
Fidelity witnesses for fermionic quantum simulations
M. Gluza, M. Kliesch, J. Eisert +1
The experimental interest and developments in quantum spin-1/2-chains has increased uninterruptedly over the last decade. In many instances, the target quantum simulation belongs t…
Axiomatic characterization of the quantum relative entropy and free energy
Henrik Wilming, Rodrigo Gallego, Jens Eisert
Building upon work by Matsumoto, we show that the quantum relative entropy with full-rank second argument is determined by four simple axioms: i) Continuity in the first argument,…
Emergence of spontaneous symmetry breaking in dissipative lattice systems
H. Wilming, M. J. Kastoryano, A. H. Werner +1
A cornerstone of the theory of phase transitions is the observation that many-body systems exhibiting a spontaneous symmetry breaking in the thermodynamic limit generally show exte…
Work and entropy production in generalised Gibbs ensembles
M. Perarnau-Llobet, A. Riera, R. Gallego +2
Recent years have seen an enormously revived interest in the study of thermodynamic notions in the quantum regime. This applies both to the study of notions of work extraction in t…
Cellular automaton decoders of topological quantum memories in the fault tolerant setting
M. Herold, M. J. Kastoryano, E. T. Campbell +1
Active error decoding and correction of topological quantum codes - in particular the toric code - remains one of the most viable routes to large scale quantum information processi…
Advances in Quantum Teleportation
Stefano Pirandola, Jens Eisert, Christian Weedbrook +2
Quantum teleportation is one of the most important protocols in quantum information. By exploiting the physical resource of entanglement, quantum teleportation serves as a key prim…
Continuous matrix product state tomography of quantum transport experiments
G. Haack, A. Steffens, J. Eisert +1
In recent years, a close connection between the description of open quantum systems, the input-output formalism of quantum optics, and continuous matrix product states in quantum f…