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We study conditions for the deterministic transformation $\ket{\psi}\longrightarrow\ket{\phi}$ of a bipartite entangled state by a separable operation. If the separable operation is a local operation with classical communication (LOCC),…

量子物理 · 物理学 2007-09-19 Vlad Gheorghiu , Robert B. Griffiths

We determine the structure of all bijections on the cone of positive semidefinite operators which preserve the quantum $f$-divergence for an arbitrary strictly convex function $f$ defined on the positive halfline. It turns out that any such…

数学物理 · 物理学 2016-03-31 Dániel Virosztek

The partial trace operation is usually considered in composite quantum systems, to reduce the state on a single subsystem. This operation has a key role in the decoherence effect and quantum measurements. However, partial trace operations…

量子物理 · 物理学 2024-03-18 Quentin Ansel

In this paper, a characterization of maps between quantum states that preserve pure states and strict convex combinations is obtained. Based on this characterization, a structural theorem for maps between multipartite quantum states that…

量子物理 · 物理学 2013-05-31 Lihua Yang , Jinchuan Hou

Present-day quantum devices require precise implementation of desired quantum channels. To characterize the quality of implementation one uses the average operation fidelity $F$, defined as the fidelity between an initial pure state and its…

量子物理 · 物理学 2024-03-18 Igor Chełstowski , Grzegorz Rajchel-Mieldzioć , Karol Życzkowski

Characterization of quantum measurements and dynamical processes is typically performed using pure state preparations. However, in realistic experimental settings, the preparation of pure states is often infeasible due to noise and system…

量子物理 · 物理学 2025-10-28 Sahil , Swarup Kumar Giri , Sohail

We consider a class (convex set) of quantum states containing all finite rank states and infinite rank states with the sufficient rate of decreasing of eigenvalues (in particular, all Gaussian states). Quantum states from this class are…

量子物理 · 物理学 2021-09-28 M. E. Shirokov

We formalize the correspondence between quantum states and quantum operations isometrically, and harness its consequences. This correspondence was already implicit in the various proofs of the operator sum representation of Completely…

量子物理 · 物理学 2009-11-10 Pablo Arrighi , Christophe Patricot

Conditional von Neumann entropy is an intriguing concept in quantum information theory. In the present work, we examine the effect of global unitary operations on the conditional entropy of the system. We start with the set containing…

量子物理 · 物理学 2018-06-01 Subhasree Patro , Indranil Chakrabarty , Nirman Ganguly

Quantum coherence as an important physical resource plays the key role in implementing various quantum tasks, whereas quantum coherence is often deteriorated due to the noise. In this paper, we analyse under which dynamical conditions the…

量子物理 · 物理学 2024-08-22 Zhaofang Bai , Shuanping Du

We introduce a new decomposition of quantum channels acting on group algebras, which we term Kraus-like (operator) decompositions. We motivate this decomposition with a general nonexistence result for Kraus operator decompositions in this…

数学物理 · 物理学 2023-10-20 Jonathan Boretsky , Robert Lin

I discuss a set of strong, but probabilistically intelligible, axioms from which one can {\em almost} derive the appratus of finite dimensional quantum theory. Stated informally, these require that systems appear completely classical as…

量子物理 · 物理学 2009-12-31 Alexander Wilce

We use classical results from the theory of linear preserver problems to characterize operators that send the set of pure states with Schmidt rank no greater than k back into itself, extending known results characterizing operators that…

量子物理 · 物理学 2011-11-16 Nathaniel Johnston

Estimation of quantum states and measurements is crucial for the implementation of quantum information protocols. The standard method for each is quantum tomography. However, quantum tomography suffers from systematic errors caused by…

量子物理 · 物理学 2018-10-19 Adam C. Keith , Charles H. Baldwin , Scott Glancy , E. Knill

We propose and investigate bounds on quantum process fidelity of quantum filters, i.e. probabilistic quantum operations represented by a single Kraus operator K. These bounds generalize the Hofmann bounds on quantum process fidelity of…

量子物理 · 物理学 2016-08-08 Michal Sedlak , Jaromír Fiurášek

Assuming that quantum states, including pure states, represent subjective degrees of belief rather than objective properties of systems, the question of what other elements of the quantum formalism must also be taken as subjective is…

量子物理 · 物理学 2015-06-26 M. S. Leifer

Quantum state discrimination is a fundamental concept in quantum information theory, which refers to a class of techniques to identify a specific quantum state through a positive operator-valued measure. In this work, we investigate how…

量子物理 · 物理学 2025-07-09 Hyunho Cha , Jungwoo Lee

Environmental interactions are ubiquitous in any real-world application of a quantum information processing protocol. Such interactions result in depletion of quantum resources. Two important figure of merits in the context of quantum…

量子物理 · 物理学 2024-06-06 Tapaswini Patro , Kaushiki Mukherjee , Nirman Ganguly

A central challenge in quantum metrology is identifying optimal measurements that saturate the quantum Cramer-Rao bound under realistic constraints, e.g., local measurements. We show that symmetries of the probe state provide a general…

量子物理 · 物理学 2026-03-10 Jia-Xuan Liu , Hai-Long Shi , Chunfeng Wu , Sixia Yu

The notion of partial trace of a density operator is essential for the understanding of the entanglement and separability properties of quantum states. In this paper we investigate these notions putting an emphasis on the geometrical…

量子物理 · 物理学 2023-03-21 Nuno Costa Dias , Maurice de Gosson , Joao Nuno Prata
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