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We show that measurement incompatibility is a necessary resource to enhance the precision of quantum metrology. To utilize incompatible measurements, we propose a probabilistic method of operational quasiprobability (OQ) consisting of the…

Quantum Physics · Physics 2023-11-21 Jeongwoo Jae , Jiwon Lee , Kwang-Geol Lee , M. S. Kim , Jinhyoung Lee

The effect of non-uniform magnetic fields on the Ising-Heisenberg chain of a heterotrimetallic coordination compound $\mathrm{Fe-Mn-Cu}$, modeling a magnetic impurity on one dimer is studied. This impurity is configured by imposing…

Quantum Physics · Physics 2020-10-28 Hamid Arian Zad , Moises Rojas

The net Fisher information measure, defined as the product of position and momentum Fisher information measures and derived from the non-relativistic Hartree-Fock wave functions for atoms with Z=1-102, is found to correlate well with the…

Quantum Physics · Physics 2015-06-26 K. D. Sen , C. P. Panos , K. Ch. Chatzisavvas , Ch. C. Moustakidis

Estimating multiparamter simultaneously as precise as possible is an important goal of quantum metrolo- gy. As a first step to this end, here we give a condition determining whether two arbitrary parameters can be estimated simultaneously…

Quantum Physics · Physics 2016-02-17 Ping Yue , Li Ge , Qiang Zheng

We present a simple, dimension-independent criterion which guarantees that some quantum channel $\Phi$ is divisible, i.e. that there exists a non-trivial factorization $\Phi=\Phi_1\Phi_2$. The idea is to first define an "elementary" channel…

Quantum Physics · Physics 2025-03-21 Frederik vom Ende

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…

Quantum Physics · Physics 2021-09-20 Arindam Mitra , Prabha Mandayam

Noise affects the performance of quantum technologies, hence the importance of elaborating operative figures of merit that can capture its impact in exact terms. In quantum metrology, the introduction of the Fisher information measurement…

Quantum Physics · Physics 2024-09-30 Francesco Albarelli , Ilaria Gianani , Marco G. Genoni , Marco Barbieri

Quantum channel estimation and discrimination are fundamentally related information processing tasks of interest in quantum information science. In this paper, we analyze these tasks by employing the right logarithmic derivative Fisher…

Quantum Physics · Physics 2021-03-02 Vishal Katariya , Mark M. Wilde

In this paper, we focus on two different kinds of multipartite correlation, $k$-nonseparability and $k$-partite entanglement, both of which can describe the essential characteristics of multipartite entanglement. We propose effective…

Quantum Physics · Physics 2022-01-21 Yan Hong , Xianfei Qi , Ting Gao , Fengli Yan

We consider quantum-information division, which is characterized by a channel whose outputs have no correlation and are not completely randomized. We show that the quantum-information division is possible in a probabilistic manner by…

Quantum Physics · Physics 2014-04-02 Yuji Sekino , Satoshi Ishizaka

We present an alternative framework for quantifying the coherence of quantum channels, which contains three conditions: the faithfulness, nonincreasing under sets of all the incoherent superchannels and the additivity. Based on the…

Quantum Physics · Physics 2022-04-20 Shi-Yun Kong , Ya-Juan Wu , Qiao-Qiao Lv , Zhi-Xi Wang , Shao-Ming Fei

The quantum Cram\'er-Rao bound sets a fundamental limit on the accuracy of unbiased parameter estimation in quantum systems, relating the uncertainty in determining a parameter to the inverse of the quantum Fisher information. We…

We consider quantum channel-estimation for depolarizing channels and phase-flip channels extended by ancilla qubits and fed with a GHZ or W state. After application of the channel one or several qubits can be lost, and we calculate the…

Quantum Physics · Physics 2017-03-21 Julien Mathieu Elias Fraïsse , Daniel Braun

Recently, Bohr's complementarity principle was assessed in setups involving delayed choices. These works argued in favor of a reformulation of the aforementioned principle so as to account for situations in which a quantum system would…

Quantum Physics · Physics 2015-10-06 R. M. Angelo , A. D. Ribeiro

We show that contrary to the claim in Sci. Rep. 7, 15492 (2017), the quantum Fisher information itself is not a valid coherence measure based on the resource theory of coherence because it can increase via an incoherent operation.

Quantum Physics · Physics 2017-11-29 Hyukjoon Kwon , Kok Chuan Tan , Seongjeon Choi , Hyunseok Jeong

We say that two (or more) state assignments for one and the same quantum system are compatible if they could represent the assignments of observers with differing information about the system. A criterion for compatibility was proposed in…

Quantum Physics · Physics 2015-07-22 Todd A. Brun , Min-Hsiu Hsieh , Christopher Perry

We propose a channel-loss-independent quantum-enhanced interferometer. In our scheme, the Fisher information for phase difference of weak light from a remote star remains constant under arbitrarily large channel loss, and the angular…

Quantum Physics · Physics 2025-07-16 Yi-Xin Shen , Zhou-Kai Cao , Jian Leng , Xiang-Bin Wang

Measurement incompatibility is a distinguishing property of quantum physics and an essential resource for many quantum information processing tasks. We introduce an approach to verify the joint measurability of measurements based on…

Noisy quantum channels may be used in many information carrying applications. We show that different applications may result in different channel capacities. Upper bounds on several of these capacities are proved. These bounds are based on…

Quantum Physics · Physics 2009-10-30 Howard Barnum , M. A. Nielsen , Benjamin Schumacher

In statistical estimation theory, it has been shown previously that the Wigner-Yanase skew information is bounded by the quantum Fisher information associated with the phase parameter. Besides, the quantum Cram\'er-Rao inequality is…

Quantum Physics · Physics 2023-01-18 Nour-Eddine Abouelkhir , Hanane EL Hadfi , Abdallah Slaoui , Rachid Ahl Laamara