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We develop three new methods to implement any Linear Combination of Unitaries (LCU), a powerful quantum algorithmic tool with diverse applications. While the standard LCU procedure requires several ancilla qubits and sophisticated…

Quantum Physics · Physics 2024-10-16 Shantanav Chakraborty

We propose a scheme for an exact efficient transformation of a tensor product state of many identically prepared qubits into a state of a logarithmically small number of qubits. Using a quadratic number of elementary quantum gates we…

Quantum Physics · Physics 2010-03-31 Martin Plesch , Vladimir Buzek

We propose a method for the implementation of one-way quantum computing in superconducting circuits. Measurement-based quantum computing is a universal quantum computation paradigm in which an initial cluster-state provides the quantum…

We formulate a novel ground state quantum computation approach that requires no unitary evolution of qubits in time: the qubits are fixed in stationary states of the Hamiltonian. This formulation supplies a completely time-independent…

Quantum Physics · Physics 2013-05-29 Ari Mizel , M. W. Mitchell , Marvin L. Cohen

We explore reachable sets of open $n$-qubit quantum systems, the coherent parts of which are under full unitary control and that have just one qubit whose Markovian noise amplitude can be modulated in time such as to provide an additional…

Quantum Physics · Physics 2015-03-20 V. Bergholm , T. Schulte-Herbrueggen

We study reachable sets of open n-qubit quantum systems, whose coherent parts are under full unitary control, by adding as a further degree of incoherent control switchable Markovian noise on a single qubit. In particular, adding bang-bang…

Quantum Physics · Physics 2017-04-24 Ville Bergholm , F. K. Wilhelm , T. Schulte-Herbrueggen

We propose a bidirectional quantum teleportation protocol in continuous variables. We use a cluster state in continuous variables as the main resource to realize this protocol. In the paper, we obtain a family of configurations of cluster…

Quantum Physics · Physics 2025-02-27 E. A. Nesterova , S. B. Korolev

We present a general, analytic recipe to compute the entanglement that is generated between arbitrary, discrete modes of bosonic quantum fields by Bogoliubov transformations. Our setup allows the complete characterization of the quantum…

Quantum Physics · Physics 2013-02-19 Nicolai Friis , Ivette Fuentes

We propose and theoretically study a method for the stochastic realization of arbitrary quantum channels on multimode single-photon qudits. In order for our method to be undemanding in its implementation, we restrict our analysis to…

Quantum Physics · Physics 2012-03-21 Marco Piani , David Pitkanen , Rainer Kaltenbaek , Norbert Lutkenhaus

We propose a quantum optical device to experimentally realize quantum processes, which perform the regularization of the---in general highly singular---Glauber-Sudarshan $P$~functions of arbitrary quantum states before their application…

Quantum Physics · Physics 2018-11-07 B. Kühn , W. Vogel

We propose a practical solid-state system capable of demonstrating quantum teleportation. The set-up exploits recent advances in the optical control of excitons in coupled quantum dots, in order to produce maximally-entangled Bell and…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 John H. Reina , Neil F. Johnson

We propose a simple unconventional geometric scenario to achieve a kind of nontrivial multi-qubit operations with superconducting charge qubits placed in a microwave cavity. The proposed quantum operations are insensitive not only to the…

Quantum Physics · Physics 2007-06-25 Zheng-Yuan Xue , Z. D. Wang

Cluster states are an essential component in one-way quantum computation protocols. We present two schemes to generate addressable continuous-variable cluster states from quadrature squeezed cylindrically polarized modes. By including…

Quantum Physics · Physics 2017-09-27 I. Rigas , C. Gabriel , S. Berg-Johansen , A. Aiello , P. van Loock , U. L. Andersen , Ch. Marquardt , G. Leuchs

In this paper, we design and experimentally implement various robust quantum unitary transformations (gates) acting on $d$-dimensional vectors (qudits) by tuning a single control parameter using optimal control theory. The quantum state is…

Quantum Physics · Physics 2025-09-16 E. Flament , N. Ombredane , F. Arrouas , D. Ronco , B. Peaudecerf , D. Sugny , D. Guéry-Odelin

We propose and fully analyze the simplest technique to date to generate light-based universal quantum computing resources, namely 2D, 3D and, in general, n-hypercubic cluster states. The technique uses two standard optical components:…

In order to cope with the fact that there exists no single maximally entangled state (up to local unitaries) in the multipartite setting, we introduced in [J. I. de Vicente, C. Spee and B. Kraus, Phys. Rev. Lett. 111, 110502 (2013)] the…

Quantum Physics · Physics 2016-12-14 C. Spee , J. I. de Vicente , B. Kraus

We consider measurement-based quantum computation that uses scalable continuous-variable cluster states with a one-dimensional topology. The physical resource, known here as the dual-rail quantum wire, can be generated using temporally…

Quantum Physics · Physics 2014-12-24 Rafael N. Alexander , Seiji C. Armstrong , Ryuji Ukai , Nicolas C. Menicucci

A one-way quantum computer works by only performing a sequence of one-qubit measurements on a particular entangled multi-qubit state, the cluster state. No non-local operations are required in the process of computation. Any quantum logic…

Quantum Physics · Physics 2023-11-11 Robert Raussendorf , Daniel E. Browne , Hans J. Briegel

Cluster state plays a crucial role in the one-way quantum computation. Here, we propose and experimentally demonstrate a new scheme to prepare an ultrahigh-fidelity four-photon linear cluster state via spontaneous parametric down-conversion…

Quantum Physics · Physics 2016-10-12 Chao Zhang , Yun-Feng Huang , Bi-Heng Liu , Chuan-Feng Li , Guang-Can Guo

A geometrical approach to quantum computation is presented, where a non-abelian connection is introduced in order to rewrite the evolution operator of an energy degenerate system as a holonomic unitary. For a simple geometrical model we…

Quantum Physics · Physics 2007-05-23 Jiannis Pachos
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