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We present a general theoretical formalism to compute the fidelity of transformations of unknown quantum states. We then focus on the case of Gaussian transformations of continuous variable quantum systems, where, for the case of a Gaussian…

量子物理 · 物理学 2007-05-23 Lars Bojer Madsen , Klaus Molmer

We investigate the optimal quantum state reconstruction from cloud to many spatially separated users by measure-broadcast-prepare scheme without the availability of quantum channel. The quantum state equally distributed from cloud to…

量子物理 · 物理学 2018-12-19 Zichen Yang , Ze-Yang Fan , Liang-Zhu Mu , Heng Fan

Future quantum computers capable of solving relevant problems will require a large number of qubits that can be operated reliably. However, the requirements of having a large qubit count and operating with high-fidelity are typically…

We determine the optimal parameters for a simple and efficient scheme of dispersive readout of a qubit. Depending on the qubit state (ground or excited), the resonance of a cavity is shifted either to the red or to the blue side. Qubit…

量子物理 · 物理学 2019-12-10 Andrii Sokolov

Quantum computing hardware has grown sufficiently complex that it often can no longer be simulated by classical computers, but its computational power remains limited by errors. These errors corrupt the results of quantum algorithms, and it…

A fundamental task in quantum information science is state certification: testing whether a lab-prepared $n$-qubit state is close to a given hypothesis state. In this work, we show that every pure hypothesis state can be certified using…

量子物理 · 物理学 2025-07-16 Meghal Gupta , William He , Ryan O'Donnell

When preparing a pure state with a quantum circuit, there is an unavoidable approximation error due to the compilation error in fault-tolerant implementation. A recently proposed approach called probabilistic state synthesis, where the…

量子物理 · 物理学 2024-01-08 Seiseki Akibue , Go Kato , Seiichiro Tani

We analyze the estimation of a qubit pure state by means of local measurements on $N$ identical copies and compare its averaged fidelity for an isotropic prior probability distribution to the absolute upper bound given by collective…

量子物理 · 物理学 2009-11-10 E. Bagan , A. Monras , R. Munoz-Tapia

Quantum state transfer along a one-dimensional spin chain has become a fundamental ingredient for quantum communication between distant nodes in a quantum network. We study the average fidelity of quantum state transfer (QST) along a XY…

量子物理 · 物理学 2014-07-02 Yang Liu , D. L. Zhou

We discuss the fidelity as a figure of merit in quantum error correction schemes. We show that when identifiable but uncorrectable errors occur as a result of the action of the channel, a common strategy that improves the fidelity actually…

量子物理 · 物理学 2016-10-13 Jonas Almlöf , Gunnar Björk

We study the optimization of any quantum process by minimizing the "randomness" in the measurement result at the output of that quantum process. We conceptualize and propose a measure of such randomness and inquire whether an optimization…

量子物理 · 物理学 2021-03-30 Sreetama Das , Asutosh Kumar , Aditi Sen De , Ujjwal Sen

We describe a simple measure of fidelity for mixed state postselecting devices. The measure is most appropriate for postselection where the task performed by the output is only effected by a specific state.

量子物理 · 物理学 2007-11-27 Craig S. Hamilton , John Jeffers

We formulate an algorithm to lower bound the fidelity between quantum many-body states only from partial information, such as the one accessible by few-body observables. Our method is especially tailored to permutationally invariant states,…

量子物理 · 物理学 2020-08-19 Matteo Fadel , Albert Aloy , Jordi Tura

Characterizing entanglement in all but the simplest case of a two qubit pure state is a hard problem, even understanding the relevant experimental quantities that are related to entanglement is difficult. It may not be necessary, however,…

量子物理 · 物理学 2015-06-26 J. Grondalski , D. M. Etlinger , D. F. V. James

Following the work of Niu and Griffiths, in \emph{Phys.Rev.A 58, 4377(1998)}, we shall investigate the problem, how to design the optimal quantum cloning machines (QCMs) for qubit system, with the help of Bloch-sphere representation. In…

量子物理 · 物理学 2010-04-30 Xiaohua Wu , Fei Wu

Consider an n qubit computational basis state corresponding to a bit string x, which has had an unknown local unitary applied to each qubit, and whose qubits have been reordered by an unknown permutation. We show that, given such a state…

量子物理 · 物理学 2009-06-18 Ashley Montanaro

Due to the exponential complexity of the resources required by quantum state tomography (QST), people are interested in approaches towards identifying quantum states which require less effort and time. In this paper, we provide a tailored…

信息论 · 计算机科学 2017-08-02 K. Li , J. Zhang , S. Cong

We investigate the fidelity of Haar random bipartite pure states from a fixed reference quantum state and their bipartite entanglement. By plotting the fidelity and entanglement on perpendicular axes, we observe that the resulting plots…

量子物理 · 物理学 2024-12-02 George Biswas , Shao-Hua Hu , Jun-Yi Wu , Debasish Biswas , Anindya Biswas

A geometric interpretation for the A-fidelity between two states of a qubit system is presented, which leads to an upper bound of the Bures fidelity. The metrics defined based on the A-fidelity are studied by numerical method. An…

量子物理 · 物理学 2008-12-30 Zhihao Ma , Fu-Lin Zhang , Jing-Ling Chen

Quantum teleportation of qudits is revisited. In particular, we analyze the case where the quantum channel corresponds to a non-maximally entangled state and show that the success of the protocol is directly related to the problem of…

量子物理 · 物理学 2009-11-10 L. Roa , A. Delgado , I. Fuentes-Guridi
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