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I give a self-contained introduction to the resource theory approach to quantum thermodynamics. I will introduce in an elementary manner the technical machinery necessary to unpack and prove the core statements of the theory. The topics…

Quantum Physics · Physics 2019-10-24 Matteo Lostaglio

Knowledge distillation (KD) is a widely adopted technique for compressing large models into smaller, more efficient student models that can be deployed on devices with limited computational resources. Among various KD methods, Relational…

Quantum Physics · Physics 2025-08-19 Chen-Yu Liu , Kuan-Cheng Chen , Keisuke Murota , Samuel Yen-Chi Chen , Enrico Rinaldi

Machine-learned interatomic potentials have transformed computational research in the physical sciences. Recent atomistic `foundation' models have changed the field yet again: trained on many different chemical elements and domains, these…

Quantum coherence is one of the most important resources in quantum information. Indeed, preventing the loss of coherence is one of the most important technical challenges obstructing the development of large-scale quantum computers.…

Quantum Physics · Physics 2020-09-16 John H. Selby , Ciarán M. Lee

The degradation of entanglement in quantum memories due to decoherence is a critical challenge for scalable quantum networks. We present an entanglement distillation protocol based on the [[4,2,2]] quantum error-detecting code, deriving…

Quantum Physics · Physics 2025-09-09 Huidan Zheng , Gunsik Min , Ilkwon Sohn , Jun Heo

The distribution and processing of quantum entanglement form the basis of quantum communication and quantum computing. The realization of the two is difficult because quantum information inherently has a high susceptibility to decoherence,…

Quantum Physics · Physics 2012-08-30 Boris Hage , Aiko Samblowski , James DiGuglielmo , Jaromír Fiurášek , Roman Schnabel

Entanglement distillation refers to the task of transforming a collection of weakly entangled pairs into fewer highly entangled ones. It is a core ingredient in quantum repeater protocols, needed to transmit entanglement over arbitrary…

Quantum Physics · Physics 2016-01-20 Stephan Waeldchen , Janina Gertis , Earl T. Campbell , Jens Eisert

Quantum instruments describe both the classical output and the updated quantum state in a measurement process. To do this in a non-trivial way, instruments must have the capability to interact coherently with the state that they measure.…

Quantum Physics · Physics 2026-03-31 Chung-Yun Hsieh , Armin Tavakoli , Huan-Yu Ku , Paul Skrzypczyk

Deep metric learning aims to transform input data into an embedding space, where similar samples are close while dissimilar samples are far apart from each other. In practice, samples of new categories arrive incrementally, which requires…

Computer Vision and Pattern Recognition · Computer Science 2022-03-11 Gao-Dong Liu , Wan-Lei Zhao , Jie Zhao

Quantum coherence and other non-classical features are widely discussed in chemical dynamics, yet it remains difficult to quantify when such resources are operationally relevant for a given process and observable. While quantum resource…

Quantum Physics · Physics 2026-03-10 Julia Liebert , Gregory D. Scholes

Recently there has been much effort in developing a quantum generalisation of reference frame transformations. Despite important progress, a complete understanding of their principles is still lacking. In particular, we argue that previous…

Quantum Physics · Physics 2023-07-21 Esteban Castro-Ruiz , Ognyan Oreshkov

Quantum computation is an emerging technology that promises to be a powerful tool in many areas. Though some years likely still remain until significant quantum advantage is demonstrated, the development of the technology has led to a range…

Emerging Technologies · Computer Science 2020-12-04 James R. Wootton

We consolidate coherence, athermality, and nonuniformity as sub-resources within an underlying quantum resource theory: instability. We formulate instability axiomatically as the transient information within a decaying physical system.…

Quantum Physics · Physics 2026-02-23 Goni Yoeli , Gilad Gour

Coherence distillation is one of the central problems in the resource theory of coherence. In this Letter, we complete the deterministic distillation of quantum coherence for a finite number of coherent states under strictly incoherent…

Quantum Physics · Physics 2019-08-15 C. L. Liu , D. L. Zhou

Practical quantum computation requires high-fidelity instruction executions on qubits. Among them, Clifford instructions are relatively easy to perform, while non-Clifford instructions require the use of magic states. This makes magic state…

Quantum Physics · Physics 2025-09-30 Junshi Wang , Prakash Murali

Recent developments surrounding resource theories have shown that any quantum state or measurement resource, with respect to a convex (and compact) set of resourceless objects, provides an advantage in a tailored subchannel or state…

Quantum Physics · Physics 2020-05-05 Roope Uola , Tristan Kraft , Alastair A. Abbott

Quantum resource theories (QRTs) provide a unified framework for characterizing useful quantum phenomena subject to physical constraints, but are notoriously hard to assess in experimental systems. In this letter, we introduce a unified…

Quantum Physics · Physics 2025-12-12 Naga Dileep Varikuti , Soumik Bandyopadhyay , Philipp Hauke

Quantum channels are quintessential to quantum information, being used in all protocols, and describing how systems evolve in space and time. As such, they play a key role in the manipulation of quantum resources, and they are often…

Quantum Physics · Physics 2021-01-06 Gilad Gour , Carlo Maria Scandolo

The nascent computational paradigm of quantum reservoir computing presents an attractive use of near-term, noisy-intermediate-scale quantum processors. To understand the potential power and use cases of quantum reservoir computing, it is…

Quantum Physics · Physics 2021-07-02 L. C. G. Govia , G. J. Ribeill , G. E. Rowlands , T. A. Ohki

Quantum kernel methods are a promising branch of quantum machine learning, yet their effectiveness on diverse, high-dimensional, real-world data remains unverified. Current research has largely been limited to low-dimensional or synthetic…

Machine Learning · Computer Science 2026-02-19 Jiang Yuhan , Matthew Otten
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