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20142026
most citedMatrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems

831 citations

Showing 2022 · quant-phShow all

65 papers · 2 filters

quant-ph2022★ 12 cited

Fast Time-Evolution of Matrix-Product States using the QR decomposition

Jakob Unfried, Johannes Hauschild, Frank Pollmann

We propose and benchmark a modified time evolution block decimation (TEBD) algorithm that uses a truncation scheme based on the QR decomposition instead of the singular value decom…

quant-ph2022★ 19 cited

Can we observe non-perturbative vacuum shifts in cavity QED?

Rocío Sáez-Blázquez, Daniele de Bernardis, Johannes Feist +1

We address the fundamental question whether or not it is possible to achieve conditions under which the coupling of a single dipole to a strongly confined electromagnetic vacuum ca…

quant-ph2022★ 8 cited

Cross-Platform Verification in Quantum Networks

Johannes Knörzer, Daniel Malz, J. Ignacio Cirac

Intermediate-scale quantum devices are becoming more reliable, and may soon be harnessed to solve useful computational tasks. At the same time, common classical methods used to ver…

quant-ph2022★ 24 cited

Long-Range Free Fermions: Lieb-Robinson Bound, Clustering Properties, and Topological Phases

Zongping Gong, Tommaso Guaita, J. Ignacio Cirac

We consider free fermions living on lattices in arbitrary dimensions, where hopping amplitudes follow a power-law decay with respect to the distance. We focus on the regime where t…

quant-ph2022★ 3 cited

The Thermomajorization Polytope and Its Degeneracies

Frederik vom Ende, Emanuel Malvetti

Drawing inspiration from transportation theory, in this work we introduce the notions of "well-structured" and "stable" Gibbs states and we investigate their implications for quant…

quant-ph2022★ 38 cited

Observation of magnon bound states in the long-range, anisotropic Heisenberg model

Florian Kranzl, Stefan Birnkammer, Manoj K. Joshi +4

Over the recent years coherent, time-periodic modulation has been established as a versatile tool for realizing novel Hamiltonians. Using this approach, known as Floquet engineerin…

quant-ph2022★ 16 cited

Few-body analogue quantum simulation with Rydberg-dressed atoms in optical lattices

Daniel Malz, J. Ignacio Cirac

Most experiments with ultracold atoms in optical lattices have contact interactions, and therefore operate at high densities of around one atom per site to observe the effect of st…

quant-ph2022

Topological dynamics of adiabatic cat states

Jacquelin Luneau, Benoît Douçot, David Carpentier

We consider a quantum topological frequency converter, realized by coupling a qubit to two slow harmonic modes. The dynamics of such a system is the quantum analog of topological p…

quant-ph2022★ 38 cited

Model-Independent Learning of Quantum Phases of Matter with Quantum Convolutional Neural Networks

Yu-Jie Liu, Adam Smith, Michael Knap +1

Quantum convolutional neural networks (QCNNs) have been introduced as classifiers for gapped quantum phases of matter. Here, we propose a model-independent protocol for training QC…

quant-ph2022★ 4 cited

Quantum-Dynamical Semigroups and the Church of the Larger Hilbert Space

Frederik vom Ende

In this work we investigate Stinespring dilations of quantum-dynamical semigroups, which are known to exist by means of a constructive proof given by Davies in the early 70s. We sh…

quant-ph2022★ 57 cited

High-Q magnetic levitation and control of superconducting microspheres at millikelvin temperatures

Joachim Hofer, Rudolf Gross, Gerard Higgins +11

We report the levitation of a superconducting lead-tin sphere with 100 micrometer diameter (corresponding to a mass of 5.6 micrograms) in a static magnetic trap formed by two coils…

quant-ph2022★ 27 cited

Finding the ground state of a lattice gauge theory with fermionic tensor networks: a demonstration

Patrick Emonts, Ariel Kelman, Umberto Borla +3

Tensor network states, and in particular Projected Entangled Pair States (PEPS) have been a strong ansatz for the variational study of complicated quantum many-body systems, thanks…

quant-ph2022★ 11 cited

Free-fermion Page Curve: Canonical Typicality and Dynamical Emergence

Xie-Hang Yu, Zongping Gong, J. Ignacio Cirac

We provide further analytical insights into the newly established noninteracting (free-fermion) Page curve, focusing on both the kinematic and dynamical aspects. First, we unveil t…

quant-ph2022★ 12 cited

Time Evolution of Uniform Sequential Circuits

Nikita Astrakhantsev, Sheng-Hsuan Lin, Frank Pollmann +1

Simulating time evolution of generic quantum many-body systems using classical numerical approaches has an exponentially growing cost either with evolution time or with the system…

quant-ph2022★ 26 cited

Anatomy of Dynamical Quantum Phase Transitions

Maarten Van Damme, Jean-Yves Desaules, Zlatko Papić +1

Global quenches of quantum many-body models can give rise to periodic dynamical quantum phase transitions (DQPTs) directly connected to the zeros of a Landau order parameter (OP).…

quant-ph2022★ 3 cited

Single-qubit gate teleportation provides a quantum advantage

Libor Caha, Xavier Coiteux-Roy, Robert Koenig

Gate-teleportation circuits are arguably among the most basic examples of computations believed to provide a quantum computational advantage: In seminal work [Quantum Inf. Comput.,…

quant-ph2022★ 161 cited

Advances in device-independent quantum key distribution

Víctor Zapatero, Tim van Leent, Rotem Arnon +4

Device-independent quantum key distribution (DI-QKD) provides the gold standard for secure key exchange. Not only it allows for information-theoretic security based on quantum mech…

quant-ph2022★ 2 cited

Boson sampling with ultracold atoms in a programmable optical lattice

Carsten Robens, Iñigo Arrazola, Wolfgang Alt +4

Sampling from a quantum distribution can be exponentially hard for classical computers and yet could be performed efficiently by a noisy intermediate-scale quantum device. A prime…

quant-ph2022★ 9 cited

Unsupervised Interpretable Learning of Phases From Many-Qubit Systems

Nicolas Sadoune, Giuliano Giudici, Ke Liu +1

Experimental progress in qubit manufacturing calls for the development of new theoretical tools to analyze quantum data. We show how an unsupervised machine-learning technique can…

quant-ph2022★ 6 cited

Valid and efficient entanglement verification with finite copies of a quantum state

Pawel Cieslinski, Jan Dziewior, Lukas Knips +5

Detecting entanglement in multipartite quantum states is an inherently probabilistic process, typically with a few measured samples. The level of confidence in entanglement detecti…

quant-ph2022★ 35 cited

Quantum Key Distribution with a Hand-held Sender Unit

Gwenaelle Vest, Peter Freiwang, Jannik Luhn +5

Quantum key distribution (QKD) is a crucial component for truly secure communication, which enables to analyze leakage of information due to eavesdropper attacks. While impressive…

quant-ph2022★ 4 cited

Flow of quantum correlations in noisy two-mode squeezed microwave states

M. Renger, S. Pogorzalek, F. Fesquet +10

We study nonclassical correlations in propagating two-mode squeezed microwave states in the presence of noise. We focus on two different types of correlations, namely, quantum enta…

quant-ph2022★ 14 cited

Projector formalism for kept and discarded spaces of matrix product states

Andreas Gleis, Jheng-Wei Li, Jan von Delft

Any matrix product state has a set of associated kept and discarded spaces, needed for the description of , and changes thereof, respectively. These induce a…

quant-ph2022★ 11 cited

Which Bath-Hamiltonians Matter for Thermal Operations?

Frederik vom Ende

In this article we explore the set of thermal operations from a mathematical and topological point of view. First we introduce the concept of Hamiltonians with resonant spectrum wi…