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We derive an exact expression for the quantumness of a Hilbert space (defined in quant-ph/0302092), and show that in composite Hilbert spaces the signal states must contain at least some entangled states in order to achieve such a…

量子物理 · 物理学 2007-05-23 Christopher A. Fuchs

This document focuses on translating various information-theoretic measures of distinguishability for probability distributions into measures of distin- guishability for quantum states. These measures should have important appli- cations in…

量子物理 · 物理学 2007-05-23 Christopher A. Fuchs

Applications of quantum technology often require fidelities to quantify performance. These provide a fundamental yardstick for the comparison of two quantum states. While this is straightforward in the case of pure states, it is much more…

This article is an introduction to quant-ph/0302092. We propose to quantify how "quantum" a set of quantum states is. The quantumness of a set is the worst-case difficulty of transmitting the states through a classical communication…

量子物理 · 物理学 2007-05-23 Christopher A. Fuchs , Masahide Sasaki

We derive a computable analytical formula for the quantum fidelity between two arbitrary multimode Gaussian states which is simply expressed in terms of their first- and second-order statistical moments. We also show how such a formula can…

量子物理 · 物理学 2015-12-23 Leonardo Banchi , Samuel L. Braunstein , Stefano Pirandola

Characterizing entanglement in all but the simplest case of a two qubit pure state is a hard problem, even understanding the relevant experimental quantities that are related to entanglement is difficult. It may not be necessary, however,…

量子物理 · 物理学 2015-06-26 J. Grondalski , D. M. Etlinger , D. F. V. James

Quantum fidelity is one of the most important measures of similarity between mixed quantum states. However, the usual formulation is cumbersome and hard to understand when encountering the first time. This work shows in a novel, elegant…

量子物理 · 物理学 2023-10-11 Adrian Müller

We compare and contrast the error probability and fidelity as measures of the quality of the receiver's measurement strategy for a quantum communications system. The error probability is a measure of the ability to retrieve {\it classical}…

量子物理 · 物理学 2009-11-07 Stephen M. Barnett , Claire R. Gilson , Masahide Sasaki

The notion of entanglement fidelity is to measure entanglement preservation through quantum channels. Nevertheless, the amount of entanglement present in a state of a quantum system at any time is measured by quantities known as measures of…

量子物理 · 物理学 2020-04-07 Vahid Azimi Mousolou

The entanglement fidelity provides a measure of how well the entanglement between two subsystems is preserved in a quantum process. By using a simple model we show that in some cases this quantity in its original definition fails in the…

量子物理 · 物理学 2009-11-13 Yang Xiang , Shi-Jie Xiong

Entanglement serves as a fundamental resource for various quantum information processing tasks. Fidelity of entanglement (which measures the proximity to a maximally entangled state) and various quantum entropies are key indicators for…

量子物理 · 物理学 2025-10-21 Komal Kumar , Bivas Mallick , Tapaswini Patro , Nirman Ganguly

Protocols for discriminating between a pair of channels or for estimating a channel parameter can often be aided by adaptivity or by entanglement between the probe states. This can make it difficult to bound the best possible performance…

量子物理 · 物理学 2021-10-07 Jason L. Pereira , Leonardo Banchi , Stefano Pirandola

Quantum entanglement is the quantum information processing resource. Thus it is of importance to understand how much of entanglement particular quantum states have, and what kinds of laws entanglement and also transformation between…

量子物理 · 物理学 2007-05-23 Toshiyuki Shimono

Coherence and correlation are key features of the quantum system. Quantifying these quantities are astounding task in the framework of resource theory of quantum information processing. In this article, we identify an affinity-based metric…

量子物理 · 物理学 2021-02-11 R. Muthuganesan , V. K. Chandrasekar , R. Sankaranarayanan

Fidelity is a fundamental measure for the closeness of two quantum states, which is important both from a theoretical and a practical point of view. Yet, in general, it is difficult to give good estimates of fidelity, especially when one…

量子物理 · 物理学 2022-03-31 András Gilyén , Alexander Poremba

Entanglement fidelity quantifies how well a quantum channel preserves the correlations between a transmitted system and an inaccessible reference system. We derive closed-form expressions for the entanglement fidelity associated with…

量子物理 · 物理学 2026-03-10 Niccolò Zanieri , Marios Kountouris

One of the many interesting features of quantum nonlocality is that the states of a multipartite quantum system cannot always be distinguished as well by local measurements as they can when all quantum measurements are allowed. In this…

量子物理 · 物理学 2013-11-14 Somshubhro Bandyopadhyay , Michael Nathanson

One of the biggest problems in the theory of quantum information is the quantification of amount of entanglement in an arbitrary multipartite mixed state. Different axiomatic and operational measures were proposed so far. In this work we…

量子物理 · 物理学 2009-11-11 Alexander Streltsov

We relate gate fidelities of experimentally realized quantum operations to the broadcasting property of their ideal operations, and show that the more parties a given quantum operation can broadcast to, the higher gate fidelities of its…

量子物理 · 物理学 2011-06-30 Hyang-Tag Lim , Young-Sik Ra , Yong-Su Kim , Yoon-Ho Kim , Joonwoo Bae

Quantum entanglement plays crucial roles in quantum information processing. Quantum entangled states have become the key ingredient in the rapidly expanding field of quantum information science. Although the nonclassical nature of…

量子物理 · 物理学 2010-12-22 Ming Li , Shao-Ming Fei , Xianqing Li-Jost
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