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The diverse range of resources which underlie the utility of quantum states in practical tasks motivates the development of universally applicable methods to measure and compare resources of different types. However, many of such approaches…

量子物理 · 物理学 2021-03-19 Bartosz Regula , Ludovico Lami , Giovanni Ferrari , Ryuji Takagi

A collection of quantum channels is called incompatible if they cannot be obtained as marginals from a single channel. No-cloning theorem is the most prominent instance of incompatibility of quantum channels. We show that every collection…

量子物理 · 物理学 2020-03-24 Junki Mori

One of the key issues in quantum discrimination problems is understanding the extent of the advantages in discrimination performance when using resource states compared to resourceless states. We show that in any resource theory of states,…

量子物理 · 物理学 2025-09-16 Kenji Nakahira

We study optimal perfect distinguishability between a unitary and a general quantum operation. In 2-dimensional case we provide a simple sufficient and necessary condition for sequential perfect distinguishability and an analytical formula…

量子物理 · 物理学 2010-10-13 Cheng Lu , Jianxin Chen , Runyao Duan

The uncertainty principle is one of quantum theory's most foundational features. It underpins a quantum phenomenon called measurement incompatibility -- two physical observables of a single quantum system may not always be measured…

量子物理 · 物理学 2025-01-24 Chung-Yun Hsieh , Benjamin Stratton , Chao-Hsien Wu , Huan-Yu Ku

Incompatibility of quantum devices is one of the cornerstones of quantum theory, and the incompatibility of quantum measurements and channels has been linked to quantum advantage in certain information theoretic tasks. In this work, we…

量子物理 · 物理学 2023-03-28 Arindam Mitra , Máté Farkas

Identifying what quantum-mechanical properties are useful to untap a superior performance in quantum technologies is a pivotal question. Quantum resource theories provide a unified framework to analyze and understand such properties, as…

量子物理 · 物理学 2024-04-24 Kohdai Kuroiwa , Ryuji Takagi , Gerardo Adesso , Hayata Yamasaki

We investigate the role of symmetric quantum cloning machines (QCMs) in quantifying the mutual incompatibility of quantum observables. Specifically, we identify a cloning-based incompatibility measure whereby the incompatibility of a set of…

量子物理 · 物理学 2021-09-20 Arindam Mitra , Prabha Mandayam

Games involving quantum strategies often yield higher payoff. Here, we study a practical realization of the three-player dilemma game using the superconductivity-based quantum processors provided by IBM Q Experience. We analyze the…

量子物理 · 物理学 2022-06-07 Pranav Kairon , Kishore Thapliyal , R. Srikanth , Anirban Pathak

There are two major approaches to building good machine learning algorithms: feeding lots of data into large models, or picking a model class with an ''inductive bias'' that suits the structure of the data. When taking the second approach…

量子物理 · 物理学 2023-12-08 Kaitlin Gili , Guillermo Alonso , Maria Schuld

The incompatibility of quantum measurements is a fundamental feature of quantum mechanics with profound implications for uncertainty relations and quantum information processing. In this paper, we extend the notion of {\em $s$-order…

量子物理 · 物理学 2025-03-25 X. Wang , W. Dong , P. Lian

Quantum computing promises the ability to compute properties of quantum systems exponentially faster than classical computers. Quantum advantage is achieved when a practical problem is solved more efficiently on a quantum computer than on a…

量子物理 · 物理学 2025-12-03 William A. Simon , Peter J. Love

Measurement incompatibility is one of the most striking examples of how quantum physics is different from classical physics. Two measurements are incompatible if they cannot arise via classical post-processing from a third one. A natural…

量子物理 · 物理学 2022-11-21 Andreas Bluhm , Ion Nechita

Quantum metrology exploits quantum mechanical laws to improve the precision in estimating technologically relevant parameters such as phase, frequency, or magnetic fields. Probe states are usually tailored on the particular dynamics whose…

The existence of incompatibility is one of the most fundamental features of quantum theory, and can be found at the core of many of the theory's distinguishing features, such as Bell inequality violations and the no-broadcasting theorem. A…

量子物理 · 物理学 2018-06-27 Sergey N. Filippov , Teiko Heinosaari , Leevi Leppäjärvi

Quantum advantage is notoriously hard to find and even harder to prove. For example the class of functions computable with classical physics actually exactly coincides with the class computable quantum-mechanically. It is strongly believed,…

量子物理 · 物理学 2015-10-07 Howard Dale , David Jennings , Terry Rudolph

Discrimination between unknown processes chosen from a finite set is experimentally shown to be possible even in the case of non-orthogonal processes. We demonstrate unambiguous deterministic quantum process discrimination (QPD) of…

量子物理 · 物理学 2015-05-13 Anthony Laing , Terry Rudolph , Jeremy L. O'Brien

Recently there have been fruitful results on resource theories of quantum measurements. Here we investigate the number of measurement outcomes as a kind of resource. We cast the robustness of the resource as a semi-definite positive…

量子物理 · 物理学 2022-09-28 Weixu Shi , Chaojing Tang

Optical frequency combs, named for their comb-like peaks in the spectrum, are essential for various sensing applications. As the technology develops, its performance has reached the standard quantum limit dictated by the quantum…

量子物理 · 物理学 2026-05-25 Haowei Shi , Quntao Zhuang

The problem of deciding whether a set of quantum measurements is jointly measurable is known to be equivalent to determining whether a quantum assemblage is unsteerable. This problem can be formulated as a semidefinite program (SDP).…