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We experimentally demonstrate quantum machine learning using NMR based on a framework of quantum reservoir computing. Reservoir computing is for exploiting natural nonlinear dynamics with large degrees of freedom, which is called a…

Quantum Physics · Physics 2018-06-29 Makoto Negoro , Kosuke Mitarai , Keisuke Fujii , Kohei Nakajima , Masahiro Kitagawa

Quantum entanglement, a key resource in quantum information processing, is reduced by interaction between the quantum system concerned and its unavoidable noisy environment. Therefore it is of particular importance to study the dynamical…

Quantum Physics · Physics 2023-05-31 Yangqing Guo , Pingxing Chen , Jian Li

Liquid state nuclear magnetic resonance (NMR) techniques have produced some spectacular successes in the construction of small quantum computers, and NMR is currently by far the leading technology for quantum computation. There are,…

Quantum Physics · Physics 2015-06-26 J. A. Jones

We present optimized distillation schemes for preparing Greenberger-Horne-Zeilinger (GHZ) states. Our approach relies on training variational quantum circuits with white noise affected GHZ states as inputs. Optimizing for a single iteration…

Quantum Physics · Physics 2024-02-27 Áron Rozgonyi , Gábor Széchenyi , Orsolya Kálmán , Tamás Kiss

We present a high-efficiency multipartite entanglement purification protocol (MEPP) for electron-spin systems in a Greenberger-Horne-Zeilinger state based on their spins and their charges. Our MEPP contains two parts. The first part is our…

Quantum Physics · Physics 2013-02-05 Tao Li , Bao-Cang Ren , Hai-Rui Wei , Ming Hua , Fu-Guo Deng

Random local measurements have recently been proposed to construct entanglement witnesses and thereby detect the presence of bipartite entanglement. We experimentally demonstrate the efficacy of one such scheme on a two-qubit NMR quantum…

Quantum Physics · Physics 2016-12-13 Amandeep Singh , Arvind , Kavita Dorai

Quantum state purification, a process that aims to recover a state closer to a system's principal eigenstate from multiple copies of an unknown noisy quantum state, is crucial for restoring noisy states to a more useful form in quantum…

Quantum Physics · Physics 2025-09-25 Keming He , Chengkai Zhu , Hongshun Yao , Jinguo Liu , Yinan Li , Xin Wang

We propose an implementation for quantum logic and computing using trapped atomic spins of two different species, interacting via direct magnetic spin-spin interaction. In this scheme, the spins (electronic or nuclear) of distantly spaced…

Quantum Physics · Physics 2009-11-06 L. You , M. S. Chapman

Quantum information theory is used to analize various non-linear operations on quantum states. The universal disentanglement machine is shown to be impossible, and partial (negative) results are obtained in the state-dependent case. The…

Quantum Physics · Physics 2009-10-31 Daniel R. Terno

In liquid-state NMR quantum computation, a selective entanglement operator between qubits 2 and 3 of a three-qubit molecule is conventionally realized by applying a pair of short $\pi$-pulses to qubit 1. This method, called refocusing, is…

Quantum Physics · Physics 2017-08-23 Chiara Bagnasco , Yasushi Kondo , Mikio Nakahara

Quantum Information processing by NMR with small number of qubits is well established. Scaling to higher number of qubits is hindered by two major requirements (i) mutual coupling among qubits and (ii) qubit addressability. It has been…

Quantum Physics · Physics 2009-11-10 Ranabir Das , Rangeet Bhattacharyya , Anil Kumar

Nuclear magnetic resonance is arguably both the best available quantum technology for implementing simple quantum computing experiments and the worst technology for building large scale quantum computers that has ever been seriously put…

Quantum Physics · Physics 2024-06-18 Jonathan A. Jones

The generation and control of neutron orbital angular momentum (OAM) states and spin correlated OAM (spin-orbit) states provides a powerful probe of materials with unique penetrating abilities and magnetic sensitivity. We describe…

Quantum Physics · Physics 2018-11-14 D. Sarenac , J. Nsofini , I. Hincks , M. Arif , Charles W. Clark , D. G. Cory , M. G. Huber , D. A. Pushin

A generalized Weyl quantization formalism for a particle on the circle investigated in \cite{1} is developed. A Wigner function for the state $\hat{\varrho}$ and the kernel $\mathcal{K}$ for a particle on the circle is defined and its…

Mathematical Physics · Physics 2015-06-18 Maciej Przanowski , Przemyslaw Brzykcy , Jaromir Tosiek

We consider one single copy of a mixed state of two qubits and investigate how its entanglement changes under local quantum operations and classical communications (LQCC) of the type $\rho'\sim (A\otimes B)\rho(A\otimes B)^{\dagger}$. We…

Quantum Physics · Physics 2009-11-06 Frank Verstraete , Jeroen Dehaene , Bart De Moor

Purification is a tool that allows to represent mixed quantum states as pure states on enlarged Hilbert spaces. A purification of a given state is not unique and its entanglement strongly depends on the particular choice made. Moreover, in…

Strongly Correlated Electrons · Physics 2019-01-08 Johannes Hauschild , Eyal Leviatan , Jens H. Bardarson , Ehud Altman , Michael P. Zaletel , Frank Pollmann

We introduce a measure of both quantum as well as classical correlations in a quantum state, the entanglement of purification. We show that the (regularized) entanglement of purification is equal to the entanglement cost of creating a state…

Quantum Physics · Physics 2009-11-07 Barbara M. Terhal , Michal Horodecki , Debbie W. Leung , David P. DiVincenzo

In this article, we introduce a framework for entanglement quantification of photon pairs represented by two-qubit Werner states. The measurement scheme is based on the symmetric informationally complete POVM. To make the framework…

Quantum Physics · Physics 2021-06-22 Artur Czerwinski

Quantum operations describe any state change allowed in quantum mechanics, including the evolution of an open system or the state change due to a measurement. In this letter we present a general method based on quantum tomography for…

Quantum Physics · Physics 2009-11-06 G. M. D'Ariano , P. Lo Presti

Arrays of atoms trapped in optical tweezers combine features of programmable analog quantum simulators with atomic quantum sensors. Here we propose variational quantum algorithms, tailored for tweezer arrays as programmable quantum sensors,…