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Recently the complete characterization of a general Gaussian dissipative system having a unique pure steady state was obtained in [Koga and Yamamoto 2012, Phys. Rev. A 85, 022103]. This result provides a clear guideline for engineering an…

Quantum Physics · Physics 2014-03-10 Naoki Yamamoto

We present a geometric approach to the characterization of separability and entanglement in pure Gaussian states of an arbitrary number of modes. The analysis is performed adapting to continuous variables a formalism based on single…

Quantum Physics · Physics 2007-10-28 Gerardo Adesso , Salvatore M. Giampaolo , Fabrizio Illuminati

In this paper we lay special stress on analyzing the topological properties of the lattice systems and try to ovoid the conventional ways to calculate the critical points. Only those clusters with finite sizes can execute the self similar…

General Physics · Physics 2009-12-16 You-Gang Feng

Cluster states can be used to perform measurement-based quantum computation. The cluster state is a useful resource, because once it has been generated only local operations and measurements are needed to perform universal quantum…

Quantum Physics · Physics 2023-04-21 Katherine L. Brown , Dominic Horsman , Viv Kendon , William J. Munro

Measurement-based quantum computation with continuous variables in an optical setup shows the great promise towards implementation of large-scale quantum computation, where the time-domain multiplexing approach enables us to generate the…

Quantum Physics · Physics 2020-09-11 Kosuke Fukui , Warit Asavanant , Akira Furusawa

Entangled graph states can be used for quantum sensing and computing applications. Error correction in measurement-based quantum computing schemes will require the construction of cluster states in at least 3 dimensions. Here we generate…

Gaussian quantum states of bosonic systems are an important class of states. In particular, they play a key role in quantum optics as all processes generated by Hamiltonians up to second order in the field operators (i.e. linear optics and…

Quantum Physics · Physics 2022-03-31 Jonatan Bohr Brask

Continuous-variable cluster states offer a potentially promising method of implementing a quantum computer. This paper extends and further refines theoretical foundations and protocols for experimental implementation. We give a…

Quantum Physics · Physics 2015-05-13 Mile Gu , Christian Weedbrook , Nicolas C. Menicucci , Timothy C. Ralph , Peter van Loock

Gaussian quantum mechanics is a powerful tool regularly used in quantum optics to model linear and quadratic Hamiltonians efficiently. Recent interest in qubit-CV hybrid models has revealed a simple, yet important gap in our knowledge,…

Quantum Physics · Physics 2025-06-19 Nicholas Funai

We propose a new architecture for the measurement-based quantum computation model. The new design relies on small composite light-atom primary clusters. These are then assembled into cluster arrays using ancillary light modes and the actual…

Quantum Physics · Physics 2015-06-04 Darran F. Milne , Natalia V. Korolkova

In the theory of quantum transmission of information the concept of fidelity plays a fundamental role. An important class of channels, which can be experimentally realized in quantum optics, is that of Gaussian quantum channels. In this…

Quantum Physics · Physics 2009-10-31 Gh. -S. Paraoanu , H. Scutaru

We show explicitly how to realize an arbitrary linear unitary Bogoliubov transformation (LUBO) on a multi-mode quantum state through homodyne-based one-way quantum computation. Any LUBO can be approximated by means of a fixed, finite-sized,…

Quantum Physics · Physics 2010-06-15 Ryuji Ukai , Jun-ichi Yoshikawa , Noriaki Iwata , Peter van Loock , Akira Furusawa

The entanglement of general pure Gaussian two-mode states is examined in terms of the coefficients of the quadrature components of the wavefunction. The entanglement criterion and the entanglement of formation are directly evaluated as a…

Quantum Physics · Physics 2009-11-11 R. W. Rendell , A. K. Rajagopal

In this paper, we propose a data based transformation for infinite-dimensional Gaussian processes and derive its limit theorem. For a classification problem, this transformation induces complete separation among the associated Gaussian…

Statistics Theory · Mathematics 2022-03-25 Juan A. Cuesta-Albertos , Subhajit Dutta

To gain an advantage, quantum technologies utilize phenomena particular to quantum mechanics. Two such phenomena are squeezing and entanglement. Having generated states that exhibit these features, verification of their generation with…

Quantum Physics · Physics 2021-06-02 Russell P Rundle

Are Gaussian measurements enough to distinguish between Gaussian states? Here, we tackle this question by focusing on the max-relative entropy as an operational distinguishability metric. Given two general multimode Gaussian states, we…

Quantum Physics · Physics 2026-03-13 Leah Turner , Ludovico Lami , Madalin Guta , Gerardo Adesso

We propose a method to generate large cluster states without using conditional (e.g., CNOT, C-phase) gates. Indeed, an arbitrarily large cluster state can be generated and expanded almost deterministically by single-qubit rotations and a…

Quantum Physics · Physics 2009-11-13 Xiang-bin Wang , J. Q. You , Franco Nori

We construct the unique optimal quantum device for turning a finite number of d-level quantum systems in the same unknown pure state \sigma into M systems of the same kind, in an approximation of the M-fold tensor product of the state…

Quantum Physics · Physics 2009-10-31 R. F. Werner

The one-way quantum computation utilizing bosonic modes of light offers unmatched scalability of light modes, and it has seen rapid experimental development recently. Scalability requires robust and low-error gates and measurements.…

Quantum Physics · Physics 2025-11-03 Michal Matulík , Radim Filip , Petr Marek

A practical scheme is proposed for creation of continuous variable entangled cluster states of four distinct atomic ensembles located inside a high-finesse ring cavity. The scheme does not require a set of external input squeezed fields, a…

Quantum Physics · Physics 2009-11-13 Gao-xiang Li , Sha-sha Ke , Zbigniew Ficek
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