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We study theoretically the teleportation of controlled-phase (CZ) gate through measurement-based quantum information processing for continuous-variable systems. We examine the degree of entanglement in the output modes of the teleported…

Quantum Physics · Physics 2017-09-21 Yung-Chao Su , Shin-Tza Wu

We study the Kimble-Braunstein continuous-variable quantum teleportation with the quantum channel physically realized in the turbulent atmosphere. In this context, we examine the applicability of different strategies preserving the Gaussian…

Quantum Physics · Physics 2019-09-27 K. Hofmann , A. A. Semenov , W. Vogel , Martin Bohmann

We implement the squeezing operation as a genuine quantum gate, deterministically and reversibly acting `online' upon an input state no longer restricted to the set of Gaussian states. More specifically, by applying an efficient and robust…

We propose a method for decomposing continuous-variable operations into a universal gate set, without the use of any approximations. We fully characterize a set of transformations admitting exact decompositions and describe a process for…

Quantum Physics · Physics 2019-03-06 Timjan Kalajdzievski , Juan Miguel Arrazola

Gaussian states, operations, and measurements are central building blocks for continuous-variable quantum information processing which paves the way for abundant applications, especially including network-based quantum computation and…

Quantum Physics · Physics 2021-07-06 Mengzhen Zhang

We extend the controlled displacement interaction between a qubit and a harmonic oscillator to the multi-qubit (qudit) case. We define discrete quadratures of the qudit and show how the qudit state can be displaced in these quadratures…

Quantum Physics · Physics 2025-06-09 Anders J. E. Bjerrum , Ulrik L. Andersen , Peter Rabl

Quantum teleportation is a fundamental ingredient for quantum information science and technology. In particular, the ability to perform quantum teleportation between quantum systems of different natures and encoding types is crucial for…

Quantum Physics · Physics 2024-06-28 Di Wang , Lei Xie , Jinfeng Liu , Yiling Song , Wei Xiong , Mingfeng Wang

A fundamental question in the theory of quantum computation is to understand the ultimate space-time resource costs for performing a universal set of logical quantum gates to arbitrary precision. Here we demonstrate that non-Abelian anyons…

Quantum Physics · Physics 2020-08-11 Guanyu Zhu , Ali Lavasani , Maissam Barkeshli

We examine general Gottesman-Kitaev-Preskill (GKP) codes for continuous-variable quantum error correction, including concatenated GKP codes, through the lens of lattice theory, in order to better understand the structure of this class of…

Quantum Physics · Physics 2022-02-14 Jonathan Conrad , Jens Eisert , Francesco Arzani

The ability to perform quantum error correction (QEC) and robust gate operations on encoded qubits opens the door to demonstrations of quantum algorithms. Contemporary QEC schemes typically require mid-circuit measurements with feed-forward…

We introduce a novel formulation of a Generalized Gottesman-Kitaev-Preskill (GKP) state that resolves all of its foundational pathologies, such as infinite energy, non-normalizability, and orthogonality. We demonstrate that these issues are…

Quantum Physics · Physics 2025-09-26 Sijo K. Joseph , Sudhir Singh

We show how techniques from machine learning and optimization can be used to find circuits of photonic quantum computers that perform a desired transformation between input and output states. In the simplest case of a single input state,…

Gottesman-Kitaev-Preskill (GKP) states have been demonstrated to pose significant advantages when utilized for fault-tolerant all optical continuous-variable quantum computing as well as for quantum communications links for entanglement…

Quantum Physics · Physics 2025-07-30 Prajit Dhara , Liang Jiang , Saikat Guha

We provide a theoretical framework for encoding arbitrary logical states of a quantum bit (qubit) into a continuous-variable quantum mode through quantum walks. Starting with a squeezed-vacuum state of the quantum mode, we show that quantum…

Quantum Physics · Physics 2020-08-04 Chai-Yu Lin , Wang-Chang Su , Shin-Tza Wu

Although the similarity between non-stabilizer states -- also known as magic states -- in discrete-variable systems and non-Gaussian states in continuous-variable systems has widely been recognized, the precise connections between these two…

Quantum Physics · Physics 2025-03-06 Oliver Hahn , Giulia Ferrini , Ryuji Takagi

We propose a non-Gaussian continuous variable (CV) gate which is able to conditionally produce superposition of two "copies" of an arbitrary input state well separated in the coordinate and momentum plane - a Schr\"odinger cate state. The…

Quantum Physics · Physics 2020-04-14 Ivan V. Sokolov

Quantum properties are soon subject to decoherence once the quantum system interacts with the classical environment. In this paper we experimentally test how propagation losses, in a Gaussian channel, affect the bi-partite Gaussian…

Quantum Physics · Physics 2012-10-09 D. Buono , G. Nocerino , A. Porzio , S. Solimeno

Both discrete and continuous systems can be used to encode quantum information. Most quantum computation schemes propose encoding qubits in two-level systems, such as a two-level atom or an electron spin. Others exploit the use of an…

Quantum Physics · Physics 2012-05-18 Hilma Vasconcelos , Liliana Sanz , Scott Glancy

Any bipartite nonlocal unitary operation can be carried out by teleporting a quantum state from one party to the other, performing the unitary gate locally, and teleporting a state back again. This paper investigates unitaries which can be…

Quantum Physics · Physics 2010-06-22 Li Yu , Robert B. Griffiths , Scott M. Cohen

The realisation of a universal quantum computer at scale promises to deliver a paradigm shift in information processing, providing the capability to solve problems that are intractable with conventional computers. A key limiting factor of…

Quantum Physics · Physics 2024-09-10 V. G. Matsos , C. H. Valahu , M. J. Millican , T. Navickas , X. C. Kolesnikow , M. J. Biercuk , T. R. Tan