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We study the squeezing dynamics in a Kerr-nonlinear oscillator, and quantify the metrological usefulness of the resulting states. Even if the nonlinearity limits the attainable squeezing by making the evolution non-Gaussian, the states…

量子物理 · 物理学 2024-08-06 Jiajie Guo , Qiongyi He , Matteo Fadel

Mixtures of coherent states are commonly regarded as classical. Here we show that there is a quantum advantage in discriminating between coherent states in a mixture, implying the presence of quantum properties in the mixture, which are…

量子物理 · 物理学 2018-02-26 I. Starshynov , J. Bertolotti , J. Anders

Hamiltonian truncation is a non-perturbative numerical method for calculating observables of a quantum field theory. The starting point for this method is to truncate the interacting Hamiltonian to a finite-dimensional space of states…

高能物理 - 理论 · 物理学 2022-08-10 Timothy Cohen , Kara Farnsworth , Rachel Houtz , Markus A. Luty

We derive an explicit Hamiltonian for copying the basis up and down states of a quantum two-state system - a qubit - onto n "copy" qubits initially all prepared in the down state. In terms of spin components, for spin-1/2 particle spin…

量子物理 · 物理学 2014-11-18 Dima Mozyrsky , Vladimir Privman , Mark Hillery

The marginal distribution of squeezed and rotated quadrature for two types of nonclassical states of trapped ion -- for squeezed and correlated states and for squeezed even and odd coherent states (squeezed Schr\"odinger cat states) is…

量子物理 · 物理学 2009-10-30 Olga Man'ko

Quantum sensing and quantum information processing use quantum advantages such as squeezed states that encode a quantity of interest with higher precision and generate quantum correlations to outperform classical methods. In harmonic…

量子物理 · 物理学 2021-10-28 Mingjie Xin , Wui Seng Leong , Zilong Chen , Yu Wang , Shau-Yu Lan

We demonstrate two simple theorems about squeezing induced by bilinear spin-spin interactions that conserve spin parity -- including a vast majority of quantum spin models implemented by state-of-the-art quantum simulators. In particular we…

量子物理 · 物理学 2021-11-10 Tommaso Roscilde , Fabio Mezzacapo , Tommaso Comparin

We propose a robust approach to spin squeezing with local interactions that approaches the Heisenberg limit of phase sensitivity. To generate the requisite entanglement, we generalize the paradigmatic two-axis countertwisting Hamiltonian --…

Non-classical states that are characterized by their non-positive quasi-probabilities in phase space are known to be the basis for various quantum effects. In this work, we investigate the interrelation between the non-classicality and…

量子物理 · 物理学 2010-10-12 Kisik Kim , Jaewan Kim , Joonwoo Bae

We revisit quantum state preparation of an oscillator by continuous linear position measurement. Quite general analytical expressions are derived for the conditioned state of the oscillator. Remarkably, we predict that quantum squeezing is…

量子物理 · 物理学 2020-07-29 Chao Meng , George A. Brawley , James S. Bennett , Michael R. Vanner , Warwick P. Bowen

We propose a novel quantum technique to search for unmodeled anomalies in multidimensional binned collider data. We propose associating an Ising lattice spin site with each bin, with the Ising Hamiltonian suitably constructed from the…

高能物理 - 唯象学 · 物理学 2025-06-30 Konstantin T. Matchev , Prasanth Shyamsundar , Jordan Smolinsky

Although squeezed states are nonclassical states, so far, their nonclassicality could not be demonstrated by negative quasiprobabilities. In this work we derive pattern functions for the direct experimental determination of so-called…

量子物理 · 物理学 2011-09-12 T. Kiesel , W. Vogel , B. Hage , R. Schnabel

Suppose a quantum system starts to evolve under a Hamiltonian from some initial state. When for the first time, will an observable attain a preassigned value? To answer this question, one method often adopted is to make instantaneous…

量子物理 · 物理学 2016-06-01 Shrabanti Dhar , Subinay Dasgupta

We propose a method to perform precision measurements of the interaction parameters in systems of N ultra-cold spin 1/2 atoms. The spectroscopy is realized by first creating a coherent spin superposition of the two relevant internal states…

其他凝聚态物理 · 物理学 2009-11-13 A. M. Rey , L. Jiang , M. D. Lukin

A pair of conjugate observables, such as the quadrature amplitudes of harmonic motion, have fundamental fluctuations which are bound by the Heisenberg uncertainty relation. However, in a squeezed quantum state, fluctuations of a quantity…

介观与纳米尺度物理 · 物理学 2015-12-16 J. -M. Pirkkalainen , E. Damskägg , M. Brandt , F. Massel , M. A. Sillanpää

We introduce an intermediate quantum computing model built from translation-invariant Ising-interacting spins. Despite being non-universal, the model cannot be classically efficiently simulated unless the polynomial hierarchy collapses.…

量子物理 · 物理学 2017-02-01 Xun Gao , Sheng-Tao Wang , Lu-Ming Duan

The effect of phase space general noncommutativity on producing deformed coherent squeezed states is examined. A two-dimensional noncommutative quantum system supported by a deformed mathematical structure similar to that of Hadamard…

量子物理 · 物理学 2015-08-04 Alex E. Bernardini , Salomon S. Mizrahi

We study a diagonalizable Hamiltonian that is not at first hermitian. Requirement that a measurement shall not change one Hamiltonian eigenstate into another one with a different eigenvalue imposes that an inner product must be defined so…

量子物理 · 物理学 2011-06-07 Keiichi Nagao , Holger Bech Nielsen

We prove that generic quantum local Hamiltonians are gapless. In fact, we prove that there is a continuous density of states above the ground state. The Hamiltonian can be on a lattice in any spatial dimension or on a graph with a bounded…

量子物理 · 物理学 2017-12-06 Ramis Movassagh

We investigate the problem of determining the Hamiltonian of a locally interacting open-quantum system. To do so, we construct model estimators based on inverting a set of stationary, or dynamical, Heisenberg-Langevin equations of motion…

量子物理 · 物理学 2020-08-19 Eugene F. Dumitrescu , Pavel Lougovski