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Although in general boundary conditions do not affect the bulk properties of a system, some of them are special and defy such expectation. This is the case, for instance, of those inducing geometrical frustration in a classical magnet.…

Topological frustration (or topological mechanics) is the existence of classical zero modes that are robust to many but not all distortions of the Hamiltonian. It arises naturally from locality in systems whose interactions form a set of…

Strongly Correlated Electrons · Physics 2022-07-21 Po-Wei Lo , Michael J. Lawler

We present a general scheme for the study of frustration in quantum systems. We introduce a universal measure of frustration for arbitrary quantum systems and we relate it to a class of entanglement monotones via an exact inequality. If all…

Other Condensed Matter · Physics 2012-01-06 S. M. Giampaolo , G. Gualdi , A. Monras , F. Illuminati

Two primary facets of quantum technological advancement that hold great promise are quantum communication and quantum computation. For quantum communication, the canonical resource is entanglement. For quantum gate implementation, the…

Quantum Physics · Physics 2026-04-13 Chiranjib Mukhopadhyay , Sk Sazim , Arun Kumar Pati

We pursue the identification of quantum resources carried by topological order, by evaluating quantum magic, quantified through the rank-$2$ Stabilizer R\'enyi entropy $\mathcal{M}_2$, in one-dimensional systems hosting symmetry-protected…

We derive an exact lower bound to a universal measure of frustration in degenerate ground states of quantum many-body systems. The bound results in the sum of two contributions: entanglement and classical correlations arising from local…

Quantum Physics · Physics 2013-08-13 U. Marzolino , S. M. Giampaolo , F. Illuminati

Topological frustration arises when boundary conditions impose geometric frustration in a quantum system, creating delocalized defects in the ground states and profoundly altering the low-energy properties. While previous studies have been…

Frustration in quantum many body systems is quantified by the degree of incompatibility between the local and global orders associated, respectively, to the ground states of the local interaction terms and the global ground state of the…

Statistical Mechanics · Physics 2015-10-08 S. M. Giampaolo , B. C. Hiesmayr , F. Illuminati

Quantum simulation is a cornerstone application of quantum computing, yet how fundamental quantum resources--entanglement and non-stabilizerness (``magic")--shape simulation fidelity remains an open question. In this work, we establish a…

Quantum Physics · Physics 2026-04-16 Xiangran Zhang , Jue Xu , Qi Zhao , You Zhou

Quantum spin chains - the prototypical model for coupled two-level systems - offer a fertile playground both for fundamental and technological applications, ranging from the theory of thermalization to quantum computation. The effects of…

The peculiar uncertainty or randomness of quantum measurements stems from coherence, whose information-theoretic characterization is currently under investigation. Under the resource theory of coherence, it is interesting to investigate…

Quantum Physics · Physics 2019-10-25 Xiao Yuan , Qi Zhao , Davide Girolami , Xiongfeng Ma

Entanglement in the ground state of a many-body quantum system may arise when the local terms in the system Hamiltonian fail to commute with the interaction terms in the Hamiltonian. We quantify this phenomenon, demonstrating an analogy…

Quantum Physics · Physics 2009-11-10 Christopher M. Dawson , Michael A. Nielsen

The precision of nonequilibrium thermodynamic systems is fundamentally limited, yet how quantum coherence shapes these limits remains largely unexplored. A general theoretical framework is introduced that explicitly links quantum coherence…

Quantum Physics · Physics 2025-10-27 Shanhe Su , Cong Fu , Ousi Pan , Shihao Xia , Fei Liu , Jincan Chen

Recent years have seen an increasing body of work examining how quantum entanglement can be measured at high energy particle physics experiments, thereby complementing traditional table-top experiments. This raises the question of whether…

High Energy Physics - Phenomenology · Physics 2024-06-13 Chris D. White , Martin J. White

Control at the interface between the classical and the quantum world is fundamental in quantum physics. In particular, how classical control is enhanced by coherence effects is an important question both from a theoretical as well as from a…

Quantum Physics · Physics 2016-08-17 J. M. Matera , D. Egloff , N. Killoran , M. B. Plenio

We consider an infinite-range interacting quantum spin-1/2 model, undergoing periodic kicking and dissipatively coupled with an environment. In the thermodynamic limit, it is described by classical mean-field equations that can show regular…

Quantum Physics · Physics 2025-04-29 Gianluca Passarelli , Procolo Lucignano , Davide Rossini , Angelo Russomanno

We investigate the behavior of genuine multipartite entanglement of paradigmatic frustrated quantum spin systems. We consider six different spin models, whose frustration ranges from being very high to very low. We find that the highly…

Quantum Physics · Physics 2014-01-17 Lavisha Jindal , Ameya Deepak Rane , Himadri Shekhar Dhar , Aditi Sen De , Ujjwal Sen

Quantum coherence, the ability of a quantum system to be in a superposition of orthogonal quantum states, is a distinct feature of the quantum mechanics, thus marking a deviation from classical physics. Coherence finds its applications in…

Quantum Physics · Physics 2023-01-18 Najmeh Etehadi Abari , Andrey Rakhubovsky , Radim Filip

We study the relationship between the physics of topology and zero modes in frustrated systems and metama- terials. Zero modes that exist in topological matters are distinct from the ones arising from symmetry breaking. Incidentally, a…

Strongly Correlated Electrons · Physics 2018-10-03 Krishanu Roychowdhury , Michael J. Lawler

In quantum many-body systems with local interactions, the effects of boundary conditions are considered to be negligible, at least for sufficiently large systems. Here we show an example of the opposite. We consider a spin chain with two…

Statistical Mechanics · Physics 2020-12-03 Vanja Marić , Salvatore Marco Giampaolo , Fabio Franchini
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