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We derive sampling functions for estimation of quantum state fidelity with Schr\"odinger cat-like states, which are defined as superpositions of two coherent states with opposite amplitudes. We also provide sampling functions for fidelity…

Quantum Physics · Physics 2015-06-16 Jaromir Fiurasek , Miroslav Jezek

For a quantum harmonic oscillator an explicit expression that describes the energy distribution as a coordinate function is obtained. The presence of the energy function poles is shown for the quantum system in domains where the Wigner…

Quantum Physics · Physics 2021-05-11 E. E. Perepelkin , B. I. Sadovnikov , N. G. Inozemtseva , E. V. Burlakov

Quantum point contacts exhibit mysterious conductance anomalies in addition to well known conductance plateaus at multiples of 2e^2/h. These 0.7 and zero-bias anomalies have been intensively studied, but their microscopic origin in terms of…

Mesoscale and Nanoscale Physics · Physics 2014-12-19 B. Brun , F. Martins , S. Faniel , B. Hackens , G. Bachelier , A. Cavanna , C. Ulysse , A. Ouerghi , U. Gennser , D. Mailly , S. Huant , V. Bayot , M. Sanquer , H. Sellier

Quantum states of light having a Wigner function with negative values represent a key resource in quantum communication and quantum information processing. Here, we present the generation of such a state at the telecommunication wavelength…

Quantum Physics · Physics 2017-08-04 Christoph Baune , Jaromir Fiurasek , Roman Schnabel

The presence of unique quantum correlations is the core of quantum information processing and general quantum theory. We address the fundamental question of how quantum correlations of a generic quantum system can be probed using…

Quantum Physics · Physics 2011-06-01 Adam Bednorz , Wolfgang Belzig

The Wigner function is a phase space quasi-probability distribution whose negative regions provide a direct, local signature of nonclassicality. To identify where phase-sensitive structure concentrates, we introduce local positive- and…

Optics · Physics 2025-11-05 Kyu-won Park , Soojoon Lee , Kabgyun Jeong

As a fundamental phenomenon in quantum systems, spontaneous emission constitutes an inevitable source of error, which ultimately degrades the fidelity of quantum logic gates. A successful quantum logic gate needs to operate on the condition…

Quantum Physics · Physics 2025-09-25 Yuan Sun

We show that the behaviour in phase space of the Wigner function associated to the electromagnetic modes carries the information of both, the entanglement properties between matter and field, and the regions in parameter space where quantum…

Quantum Physics · Physics 2023-02-21 E. Nahmad-Achar , R. López-Peña , S. Cordero , O. Castaños

Three different noise moments of field strength, intensity, and their correlations are simultaneously measured. For this purpose a homodyne cross-correlation measurement [W. Vogel, Phys. Rev. A 51, 4160 (1995)] is implemented by…

Quantum Physics · Physics 2017-04-26 B. Kühn , W. Vogel , M. Mraz , S. Köhnke , B. Hage

Low-order nonlinear phase gates allow the construction of versatile higher-order nonlinearities for bosonic systems and grant access to continuous variable quantum simulations of many unexplored aspects of nonlinear quantum dynamics. The…

Quantum Physics · Physics 2025-10-15 Darren W. Moore , Radim Filip

We estimate the quantum state of a light beam from results of quantum homodyne measurements performed on identically prepared quantum systems. The state is represented through the Wigner function, a generalized probability density on…

Statistics Theory · Mathematics 2011-06-23 Cristina Butucea , Madalin Guţa , Luis Artiles

The Wigner distribution function is a quasi-probability distribution. When properly integrated, it provides the correct charge and current densities, but it gives negative probabilities in some points and regions of the phase space.…

Quantum Physics · Physics 2015-08-13 E. Colomés , Z. Zhan , X. Oriols

We develop a framework based on the Kirkwood-Dirac quasiprobability distribution to quantify the contribution of coherence to work extraction during generic, cyclic quantum evolutions. In particular, we focus on ``anomalous processes'',…

Quantum Physics · Physics 2026-05-21 Francesco Perciavalle , Nicola Lo Gullo , Francesco Plastina

Weak values are quantities accessed through quantum experiments involving weak measurements and post-selection. It has been shown that 'anomalous' weak values (those lying beyond the eigenvalue range of the corresponding operator) defy…

Quantum Physics · Physics 2019-10-23 Ravi Kunjwal , Matteo Lostaglio , Matthew F. Pusey

Traditional uncertainty relations dictate a minimal amount of noise in incompatible projective quantum measurements. However, not all measurements are projective. Weak measurements are minimally invasive methods for obtaining partial state…

Quantum Physics · Physics 2021-03-15 Jonathan T. Monroe , Nicole Yunger Halpern , Taeho Lee , Kater W. Murch

By quickly modifying the shape of the effective potential of a double SQUID flux qubit from a single-well to a double-well condition, we experimentally observe an anomalous behavior, namely an alternance of resonance peaks, in the…

Superconductivity · Physics 2015-06-17 F. Chiarello , S. Spilla , M. G. Castellano , C. Cosmelli , A. Messina , R. Migliore , A. Napoli , G. Torrioli

We analyze two two-mode continuous variable separable states with the same marginal states. We adopt the definition of classicality in the form of well-defined positive Wigner function describing the state and find that although the states…

Quantum Physics · Physics 2016-04-07 Razieh Taghiabadi , Seyed Javad Akhtarshenas , Mohsen Sarbishaei

We show that the weak value of any observable in pre- and post-selected states can be expressed as the sum of the average of the observable in the pre-selected state and an anomalous part. We argue that at a fundamental level the anomalous…

Quantum Physics · Physics 2014-10-21 Arun Kumar Pati , Junde Wu

There are no phase-space trajectories for anharmonic quantum systems, but Wigner's phase-space representation of quantum mechanics features Wigner current~$\bf J$. This current reveals fine details of quantum dynamics -- finer than is…

Quantum Physics · Physics 2017-09-11 Dimitris Kakofengitis , Ole Steuernagel

A weak measurement performed on a pre- and post-selected quantum system can result in an average value that lies outside of the observable's spectrum. This effect, usually referred to as an "anomalous weak value", is generally believed to…

Quantum Physics · Physics 2019-10-16 Alastair A. Abbott , Ralph Silva , Julian Wechs , Nicolas Brunner , Cyril Branciard