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The characterization of nonstabilizerness is fruitful due to its application in gate synthesis and classical simulation. In particular, the resource monotone called the stabilizer extent is a useful tool to estimate the simulation cost…

Quantum Physics · Physics 2025-02-07 Hiroki Hamaguchi , Kou Hamada , Naoki Marumo , Nobuyuki Yoshioka

In this theoretical investigation, we study the effectiveness of a protocol that incorporates periodic quantum resetting to prepare ground states of frustration-free parent Hamiltonians. This protocol uses a steering Hamiltonian that…

Quantum Physics · Physics 2024-03-27 Daniel Alcalde Puente , Felix Motzoi , Tommaso Calarco , Giovanna Morigi , Matteo Rizzi

The nonstabilizerness, or magic, is an essential quantum resource to perform universal quantum computation. Robustness of magic (RoM) in particular characterizes the degree of usefulness of a given quantum state for non-Clifford operation.…

Quantum Physics · Physics 2024-09-10 Hiroki Hamaguchi , Kou Hamada , Nobuyuki Yoshioka

Quantum process tomography has become increasingly critical as the need grows for robust verification and validation of candidate quantum processors. Here, we present an approach for efficient quantum process tomography that uses a…

Quantum Physics · Physics 2020-03-25 L. C. G. Govia , G. J. Ribeill , D. Ristè , M. Ware , H. Krovi

We report on the first realization of a novel neutral atom qubit encoded in the metastable fine-structure states ${^3\rm{P}_0}$ and ${^3\rm{P}_2}$ of single $^{88}$Sr atoms trapped in an optical tweezer. Raman coupling of the qubit states…

We establish lower-bounds on the number of resource states, also known as magic states, needed to perform various quantum computing tasks, treating stabilizer operations as free. Our bounds apply to adaptive computations using measurements…

Quantum Physics · Physics 2022-02-02 Michael Beverland , Earl Campbell , Mark Howard , Vadym Kliuchnikov

In this work we develop new methods for the characterisation of continuous variable quantum states using heterodyne measurement in both the trusted and untrusted settings. First, building on quantum state tomography with heterodyne…

Quantum Physics · Physics 2020-06-09 Ulysse Chabaud , Tom Douce , Frédéric Grosshans , Elham Kashefi , Damian Markham

The stabilizer ground state is defined is the lowest energy stabilizer state with respect to a given Hamiltonian. In many cases it is highly degenerate and does not give a unique stabilizer state. We define the optimal stabilizer ground…

Quantum Physics · Physics 2026-03-09 Yuping Mao , Chang Chen , Jiaxing Feng , Yimeng Mao , Tim Byrnes

Operator quantum error correction is a recently developed theory that provides a generalized framework for active error correction and passive error avoiding schemes. In this paper, we describe these codes in the stabilizer formalism of…

Quantum Physics · Physics 2009-11-11 David Poulin

In quantum error-correcting code (QECC), many quantum operations and measurements are necessary to correct errors in logical qubits. In the stabilizer formalism, which is widely used in QECC, generators $G_i (i=1,2,..)$ consist of multiples…

Quantum Physics · Physics 2016-01-27 Tetsufumi Tanamoto

Quantum state preparation, a crucial subroutine in quantum computing, involves generating a target quantum state from initialized qubits. Arbitrary state preparation algorithms can be broadly categorized into arithmetic decomposition (AD)…

A novel operational method for estimating the efficiency of quantum state tomography protocols is suggested. It is based on a-priori estimation of the quality of an arbitrary protocol by means of universal asymptotic fidelity distribution…

Quantum Physics · Physics 2015-05-18 Yu. I. Bogdanov , G. Brida , M. Genovese , S. P. Kulik , E. V. Moreva , A. P. Shurupov

Quantum state engineering plays a vital role in various applications in the field of quantum information. Different strategies, including drive-and-dissipation, adiabatic cooling, and measurement-based steering, have been proposed in the…

Quantum Physics · Physics 2024-07-09 E. Medina-Guerra , Parveen Kumar , I. V. Gornyi , Yuval Gefen

Reservoir engineering is a powerful technique to autonomously stabilize a quantum state. Traditional schemes involving multi-body states typically function for discrete entangled states. In this work, we enhance the stabilization capability…

Quantum Physics · Physics 2023-12-19 Ziqian Li , Tanay Roy , Yao Lu , Eliot Kapit , David Schuster

For any finite dimensional Hilbert space, we construct explicitly five orthonormal bases such that the corresponding measurements allow for efficient tomography of an arbitrary pure quantum state. This means that such measurements can be…

Quantum Physics · Physics 2016-09-14 Claudio Carmeli , Teiko Heinosaari , Michael Kech , Jussi Schultz , Alessandro Toigo

Universal quantum computers require entanglement and non-stabilizerness, a resource known as \textit{quantum magic}. Here, we introduce a protocol that prepares magic steady states by leveraging non-Hermitian dynamics, which, contrary to…

Quantum Physics · Physics 2026-05-07 Pablo Martinez-Azcona , Matthieu Sarkis , Alexandre Tkatchenko , Aurélia Chenu

We study the problem of quantum-state tomography under the assumption that the state of the system is close to pure. In this context, an efficient measurements that one typically formulates uniquely identify a pure state from within the set…

Quantum Physics · Physics 2016-05-11 Amir Kalev , Charles H. Baldwin , Ivan H. Deutsch

Quantum Fourier analysis is an important topic in mathematical physics. We introduce a systematic protocol for testing and measuring ``magic'' in quantum states and gates, using a quantum Fourier approach. Magic, as a quantum resource, is…

Quantum Physics · Physics 2025-09-03 Kaifeng Bu , Weichen Gu , Arthur Jaffe

Fault tolerant quantum computing relies on the ability to detect and correct errors, which in quantum error correction codes is typically achieved by projectively measuring multi-qubit parity operators and by conditioning operations on the…

Many experiments in quantum information aim at creating graph states. Quantifying the purity of an experimentally achieved graph state could in principle be accomplished using full-state tomography. This method requires a number of…

Quantum Physics · Physics 2010-10-12 Harald Wunderlich , Martin B. Plenio