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We investigate the maximally coherent states to provide a refinement in quantifying coherence and give a measure-independent definition of the coherence-preserving operations. A maximally coherent state can be considered as the resource to…

Quantum Physics · Physics 2016-03-22 Yi Peng , Yong Jiang , Heng Fan

The coherent superposition of states, in combination with the quantization of observables, represents one of the most fundamental features that mark the departure of quantum mechanics from the classical realm. Quantum coherence in many-body…

Quantum Physics · Physics 2017-11-01 Alexander Streltsov , Gerardo Adesso , Martin B. Plenio

Quantum resource manipulation may include an ancillary state called a catalyst, which aids the transformation while restoring its original form at the end, and characterizing the enhancement enabled by catalysts is essential to reveal the…

Quantum Physics · Physics 2022-06-15 Ryuji Takagi , Naoto Shiraishi

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 initial state. Here, we consider systems driven by…

Quantum Physics · Physics 2018-09-12 R. Gallego , H. Wilming , J. Eisert , C. Gogolin

Understanding the resource consumption in distributed scenarios is one of the main goals of quantum information theory. A prominent example for such a scenario is the task of quantum state merging where two parties aim to merge their parts…

Quantum Physics · Physics 2016-06-21 A. Streltsov , E. Chitambar , S. Rana , M. N. Bera , A. Winter , M. Lewenstein

With an ever growing number of heterogeneous applicational services running on equally heterogeneous computational systems, the problem of resource management becomes more essential. Although current solutions consider some network and time…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-05 Rui Eduardo Lopes , Duarte Raposo , Pedro V. Teixeira , Susana Sargento

We investigate manipulations of pure quantum states under incoherent or strictly incoherent operations assisted by a coherence battery, that is, a storage device whose degree of coherence is allowed to fluctuate in the process. This leads…

Quantum Physics · Physics 2018-09-26 Benjamin Morris , Gerardo Adesso

Quantum information processing relies on a variety of resources, including entanglement, coherence, non-Gaussianity, and magic. In realistic settings, protocols run on networks of parties with heterogeneous local resource constraints, so…

Quantum Physics · Physics 2026-02-23 Ray Ganardi , Jeongrak Son , Jakub Czartowski , Seok Hyung Lie , Nelly H. Y. Ng

The widely considered assertion is that the unitarity of quantum mechanical evolution assures the preservation of information. It is even promoted in popular literature as an established fact. (Susskind, 2008) Yet, a simple chain of…

Quantum Physics · Physics 2013-11-27 Peter B. Lerner

We define a new quantity called refbit, which allows one to quantify the resource of sharing a reference frame in quantum communication protocols. By considering both asymptotic and nonasymptotic protocols we find relations between refbits…

Quantum Physics · Physics 2009-11-10 S. J. van Enk

We propose a formal resource theoretic approach to asses the coherence between partially polarized electromagnetic fields. We show that naturally defined incoherent operations endow partial coherence with a preorder relation that must be…

Optics · Physics 2018-05-09 G. M. Bosyk , G. Bellomo , A. Luis

Conventional theoretical machine learning studies generally assume explicitly or implicitly that there are enough or even infinitely supplied computational resources. In real practice, however, computational resources are usually limited,…

Machine Learning · Computer Science 2024-08-27 Zhi-Hua Zhou

Access to resources strongly constrains the decisions we make. While we might wish to offer every student a scholarship, or schedule every patient for follow-up meetings with a specialist, limited resources mean that this is not possible.…

Machine Learning · Computer Science 2025-02-11 Sofie Goethals , Eoin Delaney , Brent Mittelstadt , Chris Russell

Landauer's principle asserts that any computation has an unavoidable energy cost that grows proportionally to its degree of logical irreversibility. But even a logically reversible operation, when run on a physical processor that operates…

Quantum Physics · Physics 2021-05-31 Giulio Chiribella , Yuxiang Yang , Renato Renner

A series of recent works has shown that placing communication channels in a coherent superposition of alternative configurations can boost their ability to transmit information. Instances of this phenomenon are the advantages arising from…

Quantum Physics · Physics 2021-09-28 Hlér Kristjánsson , Giulio Chiribella , Sina Salek , Daniel Ebler , Matthew Wilson

We study consumption dependence in the context of random utility and repeated choice. We show that, in the presence of consumption dependence, the random utility model is a misspecified model of repeated rational choice. This…

Theoretical Economics · Economics 2025-10-01 Christopher Turansick

In quantum information, most information processing processes involve quantum channels. One manifestation of a quantum channel is quantum operation acting on quantum states. The coherence of quantum operations can be considered as a quantum…

Quantum Physics · Physics 2022-11-23 Xiaorong Wang , Ting Gao , Fengli Yan

Quantum coherence and quantum entanglement represent two fundamental features of non-classical systems that can each be characterized within an operational resource theory. In this paper, we unify the resource theories of entanglement and…

Quantum Physics · Physics 2016-07-13 Eric Chitambar , Min-Hsiu Hsieh

We find necessary and sufficient conditions to determine the inter-convertibility of quantum systems under time-translation covariant evolution, and use it to solve several problems in quantum thermodynamics both in the single-shot and…

Quantum Physics · Physics 2022-11-29 Gilad Gour

Quantum coherence plays a fundamental and operational role in different areas of physics. A resource theory has been developed to characterize the coherence of distinguishable particles systems. Here we show that indistinguishability of…

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