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Quantum fidelity is a central tool in quantum information, quantifying how much two quantum states are similar. Here we propose a limit formula for the quantum fidelity between a mixed state and a pure state. As an example of an…

量子物理 · 物理学 2014-10-13 Gaetana Spedalieri , Christian Weedbrook , Stefano Pirandola

The predictions that quantum theory makes about the outcomes of measurements are generally probabilistic. This has raised the question whether quantum theory can be considered complete, or whether there could exist alternative theories that…

量子物理 · 物理学 2016-04-13 Roger Colbeck , Renato Renner

We present a technique for enhancing the estimation of quantum state properties by incorporating approximate prior knowledge about the quantum state of interest. This method involves performing randomized measurements on a quantum processor…

A novel measure, quantumness of correlations is introduced here for bipartite states, by incorporating the required measurement scheme crucial in defining any such quantity. Quantumness coincides with the previously proposed measures in…

量子物理 · 物理学 2008-04-20 A. R. Usha Devi , A. K. Rajagopal

Quantum theory brings into question the compatibility of the twin desiderata of exact knowability of the present state of the physical world and perfect predictability of its future states. Bohr's coordination-causality complementarity…

量子物理 · 物理学 2026-03-27 Philip Goyal

Quantum correlations in a physical system are usually studied with respect to a unique (fixed) decomposition of the system into subsystems, without fully exploiting the rich structure of the state-space. Here, we show several examples in…

量子物理 · 物理学 2016-07-20 Guido Bellomo , Angelo Plastino , Angel R. Plastino

The outcome statistics of an informationally complete quantum measurement for a system in a given state can be used to evaluate the ensemble expectation of any linear operator in the same state, by averaging a function of the outcomes that…

量子物理 · 物理学 2009-12-21 G. M. D'Ariano , D. F. Magnani , P. Perinotti

We consider the problem of determining the state of a quantum system given one or more readings of the expectation value of an observable. The system is assumed to be a finite dimensional quantum control system for which we can influence…

量子物理 · 物理学 2009-11-10 Domenico D'Alessandro

We present a theoretical framework for state-adaptive quantum error correction that bridges the gap between quantum computing and error correction paradigms. By incorporating knowledge of quantum states into the error correction process, we…

量子物理 · 物理学 2026-02-02 D. -S. Wang

In the field of quantum information theory, the concept of quantum fidelity is employed to quantify the similarity between two quantum states. It has been observed that the fidelity between two states describing a bipartite quantum system…

量子物理 · 物理学 2023-08-01 Seong-Kun Kim , Yonghae Lee

We consider the classical correlations that two observers can extract by measurements on a bipartite quantum state, and we discuss how they are related to the quantum mutual information of the state. We show with several examples how…

量子物理 · 物理学 2009-09-19 Shengjun Wu , Uffe V. Poulsen , Klaus Mølmer

We develop a systematic approach to quantum probability as a theory of rational betting in quantum gambles. In these games of chance the agent is betting in advance on the outcomes of several (finitely many) incompatible measurements. One…

量子物理 · 物理学 2007-05-23 I. Pitowsky

In this article, we study the problem of comparing mixed quantum states: given $n$ unknown mixed quantum states, can one determine whether they are identical or not with an unambiguous quantum measurement? We first study universal…

量子物理 · 物理学 2015-05-18 Shengshi Pang , Shengjun Wu

Given an unknown quantum state distributed over two systems, we determine how much quantum communication is needed to transfer the full state to one system. This communication measures the "partial information" one system needs conditioned…

量子物理 · 物理学 2007-05-23 Michal Horodecki , Jonathan Oppenheim , Andreas Winter

We consider the problem of a state determination for a two-level quantum system which can be in one of two nonorthogonal mixed states. It is proved that for the two independent identical systems the optimal combined measurement (which…

量子物理 · 物理学 2007-05-23 A. E. Allahverdyan , D. B. Saakian

A general framework of quantum state amplification using the language of quantum state transformation is given systematically for the first time. The concept of amplification of quantum states is defined specifically and the amplification…

量子物理 · 物理学 2016-10-31 Meng-Jun Hu , Yong-Sheng Zhang

We show how a straightforward Bayesian updating procedure allows one to detect and quantify entanglement from any finite set of measurement results. The measurements do not have to be tomographically complete, and may consist of POVMs…

量子物理 · 物理学 2009-08-03 Pavel Lougovski , S. J. van Enk

The problem of quantum state filtering consists of determining whether an unknown quantum state, which is chosen from a known set of states, is either a particular, specified state, or not. We consider this problem for the case that the…

量子物理 · 物理学 2009-11-07 Janos A. Bergou , Ulrike Herzog , Mark Hillery

We address the question of which quantum states can be inter-converted under the action of a time-dependent Hamiltonian. In particular, we consider the problem applied to mixed states, and investigate the difference between pure and…

量子物理 · 物理学 2009-11-07 S. G. Schirmer , A. I. Solomon , J. V. Leahy

The resource theory of coherence studies the operational value of superpositions in quantum technologies. A key question in this theory concerns the efficiency of manipulation and inter-conversion of the resource. Here we solve this…