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A generalized Mach-Zehnder-type interferometer equipped with cross-Kerr elements is proposed to convert N-photon truncated single-mode quantum states into (N+1)-mode single-photon states, which are suitable for further state manipulation by…

Quantum Physics · Physics 2016-05-03 J. Clausen , L. Knoell , D. -G. Welsch

By using highly entangled states, quantum metrology guarantees precision impossible with classical measurements. Unfortunately such states can be very susceptible to noise, and it is a great challenge of the field to maintain quantum…

Quantum Physics · Physics 2020-03-25 Nathan Shettell , Damian Markham

Quantum illumination employs entangled states to detect a weakly reflective target in a thermal bath. The performance of a given entangled state is evaluated from the minimum error probability in the asymptotic limit, which is compared…

Quantum Physics · Physics 2021-10-14 Changsuk Noh , Changhyoup Lee , Su-Yong Lee

Experimental progress with meso- and macroscopic quantum states (i.e., general Schrodinger-cat states) was recently accompanied by theoretical proposals on how to measure the merit of these efforts. So far, experiment and theory were…

Quantum Physics · Physics 2017-03-21 Florian Fröwis

We show that the two-axis counter twisting interaction squeezes a coherent spin state into three states of interest in quantum information, namely, the twin-Fock state, the equally-weighted superposition state, and the state that achieves…

Quantum Physics · Physics 2015-01-07 Emi Yukawa , Gerard Milburn , Masahito Ueda , Kae Nemoto

We find a large class of pure and mixed input states with which the phase estimation precision saturates the Cramer-Rao bound under the compound measurements of parity and particle number. We further propose a quantum-phase-estimation…

Quantum Physics · Physics 2019-04-23 Haijun Xing , Libin Fu , Su Yi

We study quantum metrology for unitary dynamics. Analytic solutions are given for both the optimal unitary state preparation starting from an arbitrary mixed state and the corresponding optimal measurement precision. This represents a…

Quantum Physics · Physics 2019-12-30 Lukas J. Fiderer , Julien M. E. Fraïsse , Daniel Braun

This work unifies the equilibrium and non-equilibrium frameworks of quantum metrology within the context of many-body systems. We investigate dynamic sensing schemes to derive an upper bound on the quantum Fisher information for probe…

Quantum Physics · Physics 2025-12-03 Rui Zhang , Yang Yang , Wenkui Ding , Xiaoguang Wang

We derive explicit expressions for the quantum Fisher information and the symmetric logarithmic derivative (SLD) of a quantum state in the exponential form; the SLD is expressed in terms of the generator. Applications include…

Quantum Physics · Physics 2014-04-23 Zhang Jiang

In this paper, the dynamics of quantum Fisher information of a qubit interacting with a squeezed thermal environment are studied. The optimal initial state of the qubit, the temperature of the environment, and the interaction time, which…

Quantum Physics · Physics 2021-03-02 Asghar Ullah

We show that the second law of thermodynamics poses a restriction on how well we can discriminate between quantum states. By examining an ideal gas with a quantum internal degree of freedom undergoing a cycle based on a proposal by Asher…

Quantum Physics · Physics 2024-01-23 José Polo-Gómez

We sense the motion of a trapped atomic ion using a sequence of state-dependent ultrafast momentum kicks. We use this atom interferometer to characterize a nearly-pure quantum state with $n=1$ phonon and accurately measure thermal states…

Quantum Physics · Physics 2016-03-23 K. G. Johnson , B. Neyenhuis , J. Mizrahi , J. D. Wong-Campos , C. Monroe

We address local quantum estimation of bilinear Hamiltonians probed by Gaussian states. We evaluate the relevant quantum Fisher information (QFI) and derive the ultimate bound on precision. Upon maximizing the QFI we found that single- and…

Quantum Physics · Physics 2009-11-13 Roberto Gaiba , Matteo G A Paris

A quantum measurement is Fisher symmetric if it provides uniform and maximal information on all parameters that characterize the quantum state of interest. Using (complex projective) 2-designs, we construct measurements on a pair of…

Quantum Physics · Physics 2018-01-25 Huangjun Zhu , Masahito Hayashi

We theoretically analyze a Mach-Zehnder interferometer with trapped condensates, and find that it is surprisingly stable against the nonlinearity induced by inter-particle interactions. The phase sensitivity, which we study for number…

Quantum Physics · Physics 2011-08-17 Julian Grond , Ulrich Hohenester , Joerg Schmiedmayer , Augusto Smerzi

Entangled multi-photon states have the potential to provide improved measurement accuracy, but are sensitive to photon loss. It is possible to calculate ideal loss-resistant states that maximize the Fisher information, but it is unclear how…

Quantum Physics · Physics 2014-09-04 Hossein T. Dinani , Dominic W. Berry

Thermal pure state algorithms, which employ pure quantum states representing thermal equilibrium states instead of statistical ensembles, are useful both for numerical simulations and for theoretical analysis of thermal states. However,…

Statistical Mechanics · Physics 2024-12-18 Yasushi Yoneta

We propose a Ramsey interferometry experiment using an entangled state of N atoms to reach the Heisenberg limit for the estimation of an atomic phase shift if the atom number parity is perfectly determined. In a more realistic situation,…

Quantum Physics · Physics 2010-06-21 David Vitali , Stefan Kuhr , Michel Brune , Jean-Michel Raimond

Standard optomechanical sensors operating in the low-temperature regime often face fundamental precision limits imposed by vacuum fluctuations. Here, we demonstrate that moving beyond conventional radiation-pressure interactions and…

Quantum Physics · Physics 2026-02-25 Asghar Ullah , Özgür E. Müstecaplıoğlu

Understanding how well future cosmological experiments can reconstruct the mechanism that generated primordial inhomogeneities is key to assessing the extent to which cosmology can inform fundamental physics. In this work, we apply a…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-23 Michał Piotrak , Thomas Colas , Ana Alonso-Serrano , Alessio Serafini