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Among the many quasiprobability representations of quantum mechanics, the family of Kirkwood-Dirac (KD) representations has come to the foreground in recent years. Each such KD representation is determined by the choice of two complementary…

量子物理 · 物理学 2026-05-29 Matéo Spriet , Christopher Langrenez , Raymond Brummelhuis , Stephan De Bièvre

The question of when the Kirkwood-Dirac quasiprobability serves as the most appropriate description for quantum measurements has remained unresolved, particularly across different measurement strengths. While known to generate anomalous…

量子物理 · 物理学 2026-01-27 Bo Zhang , Yusuf Turek

The Kirkwood-Dirac distribution, serving as an informationally complete representation of a quantum state, has recently garnered increasing attention. We investigate the Kirkwood-Dirac classicality with respect to mutually unbiased bases.…

量子物理 · 物理学 2025-06-11 Yan Liu , Zhihua Guo , Zhihao Ma , Shao-Ming Fei

We show that a Kirkwood-Dirac type quasiprobability distribution is sufficient to reveal any arbitrary quantum resource. This is achieved by demonstrating that it is always possible to identify a set of incompatible measurements that…

量子物理 · 物理学 2024-01-09 Kok Chuan Tan , Souradeep Sasmal

We define the Kirkwood-Dirac quasiprobability representation of quantum mechanics associated with the Fourier transform over second countable locally compact abelian groups. We discuss its link with the Kohn-Nirenberg quantization of the…

量子物理 · 物理学 2026-02-23 Matéo Spriet

In quadratic fermionic models we determine a quantum correction to the work statistics after a sudden and a time-dependent driving. Such a correction lies in the non-commutativity of the initial quantum state and the time-dependent…

量子物理 · 物理学 2023-09-12 Alessandro Santini , Andrea Solfanelli , Stefano Gherardini , Mario Collura

We show that a quantum state may be represented as the sum of a joint probability and a complex quantum modification term. The joint probability and the modification term can both be observed in successive projective measurements. The…

量子物理 · 物理学 2007-11-21 Lars M. Johansen

Quantum key distribution (QKD) guarantees the secure communication between legitimate parties with quantum mechanics. High-dimensional QKD (HDQKD) not only increases the secret key rate but also tolerates higher quantum bit error rate…

量子物理 · 物理学 2019-03-06 Fang-Xiang Wang , Wei Chen , Zhen-Qiang Yin , Shuang Wang , Guang-Can Guo , Zheng-Fu Han

Nonorthogonal quantum state discrimination (QSD) plays an important role in quantum information and quantum communication. In addition, compared to Hermitian quantum systems, parity-time-($\mathcal{PT}$-)symmetric non-Hermitian quantum…

量子物理 · 物理学 2022-09-07 Dong-Xu Chen , Yu Zhang , Jun-Long Zhao , Qi-Cheng Wu , Yu-Liang Fang , Chui-Ping Yang , Franco Nori

We propose a method for directly measuring the quantum mechanical pseudo-distribution of observable properties via its characteristic function. Vandermonde matrices of the eigenvalues play a central role in the theory. This proposal…

量子物理 · 物理学 2026-02-09 Andrew N. Jordan , David R. M. Arvidsson-Shukur , Aephraim M. Steinberg

The present chapter [submitted for publication in "Fourier Transforms, Theory and Applications", G. Nikolic (Ed.), InTech (Open Access Publisher), Vienna, 2011] is concerned with the introduction and study of a quadratic discrete Fourier…

量子物理 · 物理学 2011-05-06 Maurice Robert Kibler

Recent work has revealed the central role played by the Kirkwood-Dirac quasiprobability (KDQ) as a tool to properly account for non-classical features in the context of condensed matter physics (scrambling, dynamical phase transitions)…

To prove the security of quantum key distribution (QKD) protocols, several assumptions have to be imposed on users' devices. From an experimental point of view, it is preferable that such theoretical requirements are feasible and the number…

量子物理 · 物理学 2023-02-07 Akihiro Mizutani

We determine the Kirkwood-Dirac quasiprobability (KDQ) distribution associated to the stochastic instances of internal energy variations for the quantum system and environment particles in coherent Markovian collision models. In the case…

量子物理 · 物理学 2025-07-23 Marco Pezzutto , Gabriele De Chiara , Stefano Gherardini

High-dimensional quantum key distribution (HD-QKD) allows two parties to generate multiple secure bits of information per detected photon. In this work, we show that decoy state protocols can be practically implemented for HD-QKD using only…

量子物理 · 物理学 2015-03-02 Darius Bunandar , Zheshen Zhang , Jeffrey H. Shapiro , Dirk R. Englund

Quasiprobability representations are well-established tools in quantum information science, with applications ranging from the classical simulability of quantum computation to quantum process tomography, quantum error correction, and…

The Kirkwood-Dirac (KD) quasiprobability describes measurement statistics of joint quantum observables, and has generated great interest as prominent indicators of non-classical features in various quantum information processing tasks. It…

量子物理 · 物理学 2025-04-15 Lijun Liu , Shuming Cheng

Dicke states are permutation-invariant superpositions of qubit computational basis states, which play a prominent role in quantum information science. We consider here two higher-dimensional generalizations of these states: $SU(2)$ spin-$s$…

量子物理 · 物理学 2026-03-16 Noah B. Kerzner , Federico Galeazzi , Rafael I. Nepomechie

Quantum Darwinism (QD) proposes that classical objectivity emerges from the broadcast of information about a microscopic degree of freedom into multiple fractions of a many-body environment. Such a broadcast of information is in sharp…

量子物理 · 物理学 2024-04-01 Benoît Ferté , Xiangyu Cao

The secure transfer of information is an important problem in modern telecommunications. Quantum key distribution (QKD) provides a solution to this problem by using individual quantum systems to generate correlated bits between remote…

量子物理 · 物理学 2013-08-02 S. Etcheverry , G. Cañas , E. S. Gómez , W. A. T. Nogueira , C. Saavedra , G. B. Xavier , G. Lima