Simon Trebst
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View article: Quantum effects on pyrochlore higher-rank U(1) spin liquids: Pinch-line singularities, spin nematics, and connections to oxide materials
Quantum effects on pyrochlore higher-rank U(1) spin liquids: Pinch-line singularities, spin nematics, and connections to oxide materials Open
Motivated by the magnetism of pyrochlore oxides, we consider the effect of quantum fluctuations in the most general symmetry-allowed nearest-neighbor Kramers exchange Hamiltonian on the pyrochlore lattice. At the classical level, this Hami…
View article: Entanglement dynamics in monitored Kitaev circuits: Loop models, symmetry classification, and quantum Lifshitz scaling
Entanglement dynamics in monitored Kitaev circuits: Loop models, symmetry classification, and quantum Lifshitz scaling Open
Quantum circuits offer a versatile platform for simulating digital quantum dynamics and uncovering novel states of non-equilibrium quantum matter. One principal example are measurement-induced phase transitions arising from non-unitary dyn…
View article: Symmetry-deformed toric codes and the quantum dimer model
Symmetry-deformed toric codes and the quantum dimer model Open
Motivated by the recent introduction of a $U(1)$-symmetric toric code model, we investigate symmetry-based deformations of topological order by systematically deconstructing the Gauss-law-enforcing star terms of the toric code (TC) Hamilto…
View article: Flow to Nishimori universality in weakly monitored quantum circuits with qubit loss
Flow to Nishimori universality in weakly monitored quantum circuits with qubit loss Open
In circuit-based quantum state preparation, qubit loss and coherent errors are circuit imperfections that imperil the formation of long-range entanglement beyond a certain threshold. The critical theory at the threshold is a continuous ent…
View article: Learning transitions in classical Ising models and deformed toric codes
Learning transitions in classical Ising models and deformed toric codes Open
Conditional probability distributions describe the effect of learning an initially unknown classical state through Bayesian inference. Here we demonstrate the existence of a learning transition, having signatures in the long distance behav…
View article: Decoherence-induced self-dual criticality in topological states of matter
Decoherence-induced self-dual criticality in topological states of matter Open
Quantum measurements can be employed to induce decoherence in a restricted segment of a larger quantum many-body state, while generating entanglement for its remaining constituents. We demonstrate generally that measurement-induced phase t…
View article: Structured volume-law entanglement in an interacting, monitored Majorana spin liquid
Structured volume-law entanglement in an interacting, monitored Majorana spin liquid Open
Monitored quantum circuits allow for unprecedented dynamical control of many-body entanglement. Here we show that random, measurement-only circuits, implementing the competition of bond and plaquette couplings of the Kitaev honeycomb model…
View article: Supersymmetry on the lattice: Geometry, topology, and flat bands
Supersymmetry on the lattice: Geometry, topology, and flat bands Open
In quantum mechanics, supersymmetry (SUSY) posits an equivalence between two elementary degrees of freedom, bosons, and fermions defined by local rules. Here we apply it to find connections between bosonic and fermionic lattice models in t…
View article: Constructing Emergent U(1) Symmetries in the Gamma-prime $\left(\bf Γ^{\prime} \right)$ model
Constructing Emergent U(1) Symmetries in the Gamma-prime $\left(\bf Γ^{\prime} \right)$ model Open
Frustrated magnets can elude the paradigm of conventional symmetry breaking and instead exhibit signatures of emergent symmetries at low temperatures. Such symmetries arise from "accidental" degeneracies within the ground state manifold an…
View article: Robust Teleportation of a Surface Code and Cascade of Topological Quantum Phase Transitions
Robust Teleportation of a Surface Code and Cascade of Topological Quantum Phase Transitions Open
Teleportation is a facet where quantum measurements can act as a powerful resource in quantum physics, as local measurements allow us to steer quantum information in a nonlocal way. While this has long been established for a single Bell pa…
View article: Noncoplanar orders and quantum disordered states in maple-leaf antiferromagnets
Noncoplanar orders and quantum disordered states in maple-leaf antiferromagnets Open
A promising route towards the realization of chiral spin liquids is the quantum melting of classically noncoplanar spin states via quantum fluctuations. In the classical realm, such noncoplanar orders can effectively be stabilized by inter…
View article: Classical chaos in quantum computers
Classical chaos in quantum computers Open
The development of quantum computing hardware is facing the challenge that current-day quantum processors, comprising 50–100 qubits, already operate outside the range of quantum simulation on classical computers. In this paper we demonstra…
View article: Revealing Quadrupolar Excitations with Non-Linear Spectroscopy
Revealing Quadrupolar Excitations with Non-Linear Spectroscopy Open
Local moments with a spin $S>1/2$ can exhibit a rich variety of elementary quasiparticle excitations, such as quadrupolar excitations, that go beyond the dipolar magnons of conventional spin-$1/2$ systems. However, the experimental observa…
View article: The quantum cartpole: A benchmark environment for non-linear reinforcement learning
The quantum cartpole: A benchmark environment for non-linear reinforcement learning Open
Feedback-based control is the de-facto standard when it comes to controlling classical stochastic systems and processes. However, standard feedback-based control methods are challenged by quantum systems due to measurement induced backacti…
View article: Robust teleportation of a surface code and cascade of topological quantum phase transitions
Robust teleportation of a surface code and cascade of topological quantum phase transitions Open
Teleportation is a facet where quantum measurements can act as a powerful resource in quantum physics, as local measurements allow to steer quantum information in a non-local way. While this has long been established for a single Bell pair…
View article: Report on 2311.00756v1
Report on 2311.00756v1 Open
Feedback-based control is the de-facto standard when it comes to controlling classical stochastic systems and processes.However, standard feedback-based control methods are challenged by quantum systems due to measurement induced backactio…
View article: Report on 2311.00756v1
Report on 2311.00756v1 Open
Feedback-based control is the de-facto standard when it comes to controlling classical stochastic systems and processes.However, standard feedback-based control methods are challenged by quantum systems due to measurement induced backactio…
View article: Exploring Two-dimensional Coherent Spectroscopy with Exact Diagonalization: Spinons and Confinement in 1D Quantum Magnets
Exploring Two-dimensional Coherent Spectroscopy with Exact Diagonalization: Spinons and Confinement in 1D Quantum Magnets Open
Two-dimensional coherent spectroscopy (2DCS) with terahertz radiation offers a promising new avenue for the exploration of many-body phenomena in quantum magnets. This includes the potential diagnosis of fractionalized excitations, for whi…
View article: Pseudo-fermion functional renormalization group for spin models
Pseudo-fermion functional renormalization group for spin models Open
For decades, frustrated quantum magnets have been a seed for scientific progress and innovation in condensed matter. As much as the numerical tools for low-dimensional quantum magnetism have thrived and improved in recent years due to brea…
View article: Pseudo-fermion functional renormalization group for spin models
Pseudo-fermion functional renormalization group for spin models Open
For decades, frustrated quantum magnets have been a seed for scientific progress and innovation in condensed matter. As much as the numerical tools for low-dimensional quantum magnetism have thrived and improved in recent years due to brea…
View article: Data underpinning "Candidate quantum disordered intermediate phase in the Heisenberg antiferromagnet on the maple-leaf lattice"
Data underpinning "Candidate quantum disordered intermediate phase in the Heisenberg antiferromagnet on the maple-leaf lattice" Open
Data set underlying the figures in the article "Candidate quantum disordered intermediate phase in the Heisenberg antiferromagnet on the maple-leaf lattice" Quantum antiferromagnets on geometrically frustrated lattices have long attracted …
View article: Data underpinning "Candidate quantum disordered intermediate phase in the Heisenberg antiferromagnet on the maple-leaf lattice"
Data underpinning "Candidate quantum disordered intermediate phase in the Heisenberg antiferromagnet on the maple-leaf lattice" Open
Data set underlying the figures in the article "Candidate quantum disordered intermediate phase in the Heisenberg antiferromagnet on the maple-leaf lattice" Quantum antiferromagnets on geometrically frustrated lattices have long attracted …
View article: Noncoplanar magnetic order in classical square-kagome antiferromagnets
Noncoplanar magnetic order in classical square-kagome antiferromagnets Open
Motivated by the recent synthesis of a number of Mott insulating square-kagome materials, we explore the rich phenomenology of frustrated magnetism induced by this lattice geometry, also referred to as the squagome or shuriken lattice. On …
View article: Data underpinning "Noncoplanar magnetic order in classical square-kagome antiferromagnets"
Data underpinning "Noncoplanar magnetic order in classical square-kagome antiferromagnets" Open
Motivated by the recent synthesis of a number of Mott insulating square-kagome materials, we explore the rich phenomenology of frustrated magnetism induced by this lattice geometry, also referred to as the squagome or shuriken lattice. On …
View article: Data underpinning "Noncoplanar magnetic order in classical square-kagome antiferromagnets"
Data underpinning "Noncoplanar magnetic order in classical square-kagome antiferromagnets" Open
Motivated by the recent synthesis of a number of Mott insulating square-kagome materials, we explore the rich phenomenology of frustrated magnetism induced by this lattice geometry, also referred to as the squagome or shuriken lattice. On …
View article: Chaotic fluctuations in a universal set of transmon qubit gates
Chaotic fluctuations in a universal set of transmon qubit gates Open
Transmon qubits arise from the quantization of nonlinear resonators, systems that are prone to the buildup of strong, possibly chaotic, fluctuations. Such instabilities will likely affect fast gate operations which involve the transient po…
View article: Data underpinning "Chaotic fluctuations in a universal set of transmon qubit gates"
Data underpinning "Chaotic fluctuations in a universal set of transmon qubit gates" Open
Transmon qubits arise from the quantization of nonlinear resonators, systems that are prone to the buildup of strong, possibly even chaotic, fluctuations. One may wonder to what extent fast gate operations, which involve the transient popu…
View article: Data underpinning "Chaotic fluctuations in a universal set of transmon qubit gates"
Data underpinning "Chaotic fluctuations in a universal set of transmon qubit gates" Open
Transmon qubits arise from the quantization of nonlinear resonators, systems that are prone to the buildup of strong, possibly even chaotic, fluctuations. One may wonder to what extent fast gate operations, which involve the transient popu…
View article: Data for "Qubit fractionalization and emergent majorana liquid in the honeycomb floquet code induced by coherent errors and weak measurements"
Data for "Qubit fractionalization and emergent majorana liquid in the honeycomb floquet code induced by coherent errors and weak measurements" Open
From the perspective of quantum many-body physics, the Floquet code of Hastings and Haah can be thought of as a measurement-only version of the Kitaev honeycomb model where a periodic sequence of two-qubit XX, YY, and ZZ measurements dynam…
View article: Data for "Qubit fractionalization and emergent majorana liquid in the honeycomb floquet code induced by coherent errors and weak measurements"
Data for "Qubit fractionalization and emergent majorana liquid in the honeycomb floquet code induced by coherent errors and weak measurements" Open
From the perspective of quantum many-body physics, the Floquet code of Hastings and Haah can be thought of as a measurement-only version of the Kitaev honeycomb model where a periodic sequence of two-qubit XX, YY, and ZZ measurements dynam…