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The cubic phase state constitutes a nonlinear resource that is essential for universal quantum computing protocols. However, constructing such non-classical states faces many challenges. In this work, we present a protocol for generating a…

量子物理 · 物理学 2026-02-25 Harsh Kashyap , Denis A. Kopylov , Polina R. Sharapova

Quantum state tomography is an integral part of quantum computation and offers the starting point for the validation of various quantum devices. One of the central tasks in the field of state tomography is to reconstruct with high fidelity,…

量子物理 · 物理学 2022-12-21 Rishabh Gupta , Manas Sajjan , Raphael D. Levine , Sabre Kais

The efficiency of quantum state tomography is discussed from the point of view of quantum parameter estimation theory, in which the trace of the weighted covariance is to be minimized. It is shown that tomography is optimal only when a…

量子物理 · 物理学 2015-03-17 Koichi Yamagata

The article undertakes the problem of pure state estimation from projective measurements based on photon counting. Two generic frames for qubit tomography are considered -- one composed of the elements of the SIC-POVM and the other defined…

量子物理 · 物理学 2021-03-02 Artur Czerwinski

Characterizing complex quantum systems is a vital task in quantum information science. Quantum tomography, the standard tool used for this purpose, uses a well-designed measurement record to reconstruct quantum states and processes. It is,…

量子物理 · 物理学 2015-12-10 Amir Kalev , Robert L. Kosut , Ivan H. Deutsch

As the method to completely characterize quantum dynamical processes, quantum process tomography (QPT) is vitally important for quantum information processing and quantum control, where the faithfulness of quantum devices plays an essential…

量子物理 · 物理学 2013-09-24 Yu-Xiang Zhang , Shengjun Wu , Zeng-Bing Chen

Quantum state tomography is a central technique for the characterization and verification of quantum systems. Standard tomography is widely used for low-dimensional systems, but for larger systems, it becomes impractical due to the…

Quantum state tomography, an important task in quantum information processing, aims at reconstructing a state from prepared measurement data. Bayesian methods are recognized to be one of the good and reliable choice in estimating quantum…

统计理论 · 数学 2017-06-15 The Tien Mai , Pierre Alquier

Mutually unbiased bases (MUBs) and symmetric informationally complete (SIC) positive operator-valued measurements (POVMs) are two related topics in quantum information theory. They are generalized to mutually unbiased measurements (MUMs)…

量子物理 · 物理学 2017-09-07 Lu Liu , Ting Gao , Fengli Yan

Tomography is an indispensable part of quantum computation as it enables diagnosis of a quantum process through state reconstruction. Existing tomographic protocols are based on determining expectation values of various Pauli operators…

量子物理 · 物理学 2021-03-26 Tanay Roy , Ziqian Li , Eliot Kapit , David I. Schuster

We use a meta-learning neural-network approach to analyse data from a measured quantum state. Once our neural network has been trained it can be used to efficiently sample measurements of the state in measurement bases not contained in the…

量子物理 · 物理学 2021-07-01 Alistair W. R. Smith , Johnnie Gray , M. S. Kim

Quantum state tomography, aimed at deriving a classical description of an unknown state from measurement data, is a fundamental task in quantum physics. In this work, we analyse the ultimate achievable performance of tomography of…

We present a framework that formulates the quest for the most efficient quantum state tomography scheme as an optimization problem which can be solved numerically. This approach can be applied to a broad spectrum of relevant setups…

量子物理 · 物理学 2021-12-17 Violeta N. Ivanova-Rohling , Guido Burkard , Niklas Rohling

High-dimensional quantum information processing has become a mature field of research with several different approaches being adopted for the encoding of $D$-dimensional quantum systems. Such progress has fueled the search of reliable…

量子物理 · 物理学 2019-01-30 D. Martínez , M. A. Solís-Prosser , G. Cañas , O. Jiménez , A. Delgado , G. Lima

State tomography on qubit pairs is routinely carried out by measuring the two qubits separately, while one expects a higher efficiency from tomography with highly symmetric joint measurements of both qubits. Our numerical study of simulated…

量子物理 · 物理学 2015-05-13 Yong Siah Teo , Huangjun Zhu , Berthold-Georg Englert

Quantifying and verifying the control level in preparing a quantum state are central challenges in building quantum devices. The quantum state is characterized from experimental measurements, using a procedure known as tomography, which…

量子物理 · 物理学 2021-12-28 Quoc Hoan Tran , Kohei Nakajima

The polarizing multi-photon quantum states tomography with non-unit quantum efficiency of detectors is considered. A new quantum tomography protocol is proposed. This protocol considers events of losing photons of multi-photon quantum state…

量子物理 · 物理学 2018-02-14 Yu. I. Bogdanov , B. I. Bantysh , N. A. Bogdanova , V. F. Lukichev

The characterization of quantum processes is a key tool in quantum information processing tasks for several reasons: on one hand, it allows to acknowledge errors in the implementations of quantum algorithms; on the other, it allows to…

量子物理 · 物理学 2018-12-12 Ignacio Perito , Augusto Roncaglia , Ariel Bendersky

Adaptive measurements were recently shown to significantly improve the performance of quantum state tomography. Utilizing information about the system for the on-line choice of optimal measurements allows to reach the ultimate bounds of…

Quantum state tomography--the practice of estimating a quantum state by performing measurements on it--is useful in a variety of contexts. We introduce "gentle tomography" as a version of tomography that preserves the measured quantum data.…

量子物理 · 物理学 2007-05-23 Charles H. Bennett , Aram W. Harrow , Seth Lloyd