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Quantum phases of naturally-occurring systems exhibit distinctive collective phenomena as manifestation of their many-body correlations, in contrast to our persistent technological challenge to engineer at will such strong correlations…

Quantum Physics · Physics 2011-05-31 Akimasa Miyake

Fault-tolerant quantum computation can be achieved by creating constant-sized, entangled resource states and performing entangling measurements on subsets of their qubits. Linear optical quantum computers can be designed based on this…

Quantum Physics · Physics 2026-02-03 Brendan Pankovich , Alex Neville , Angus Kan , Srikrishna Omkar , Kwok Ho Wan , Kamil Brádler

We introduce a method for analyzing ground state properties of quantum many body systems, based on the characterization of separability and entanglement by single subsystem unitary operations. We apply the method to the study of the ground…

Quantum Physics · Physics 2008-01-19 S. M. Giampaolo , F. Illuminati , P. Verrucchi , S. De Siena

Measurement-based quantum computation is different from other approaches for quantum computation, in that everything needs to be done is only local measurement on a certain entangled state. It thus uses entanglement as the resource that…

Quantum Physics · Physics 2021-09-22 Tzu-Chieh Wei

We study how heralded qubit losses during the preparation of a two-dimensional cluster state, a universal resource state for one-way quantum computation, affect its computational power. Above the percolation threshold we present a…

We propose a scheme to implement a two-qubit controlled-phase gate for single atomic qubits, which works in principle with nearly ideal success probability and fidelity. Our scheme is based on the cavity input-output process and the single…

Quantum Physics · Physics 2007-11-08 Jaeyoon Cho , Hai-Woong Lee

Quantum state preparation is a key step in all digital quantum simulation algorithms. Here we propose methods to initialize on a gate-based quantum computer a general class of quantum spin wave functions, the so-called Valence-Bond-Solid…

Quantum Physics · Physics 2023-04-13 Bruno Murta , Pedro M. Q. Cruz , J. Fernández-Rossier

The concept of qudit (a d-level system) cluster state is proposed by generalizing the qubit cluster state (Phys. Rev. Lett. \textbf{86}, 910 (2001)) according to the finite dimensional representations of quantum plane algebra. We…

Quantum Physics · Physics 2009-11-10 D. L. Zhou , B. Zeng , Z. Xu , C. P. Sun

The valley degree of freedom in the electronic band structure of silicon, graphene, and other materials is often considered to be an obstacle for quantum computing (QC) based on electron spins in quantum dots. Here we show that control over…

Mesoscale and Nanoscale Physics · Physics 2014-10-30 Niklas Rohling , Maximilian Russ , Guido Burkard

We report an optical one-way quantum computing experiment with stationary quantum memory involved. First we create a hybrid four-qubit cluster state with two qubits propagating as photons and the other two stationary and stored in a…

Quantum Physics · Physics 2012-12-11 Xiao-Fan Xu , Xiao-Hui Bao , Jian-Wei Pan

The aim of this work is to study the physical properties of a one-way quantum computer in an effective low-energy cluster state. We calculate the optimal working conditions as a function of the temperature and of the system parameters. The…

Quantum Physics · Physics 2011-11-28 D. Klagges , K. P. Schmidt

Quantum computing employs controllable interactions to perform sequences of logical gates and entire algorithms on quantum registers. This paradigm has been widely explored, e.g., for simulating dynamics of manybody systems by decomposing…

Quantum Physics · Physics 2025-05-21 S. Alipour , A. T. Rezakhani , Alireza Tavanfar , K. Mölmer , T. Ala-Nissila

Measurement-based quantum computation has revolutionized quantum information processing, and the physical systems with which it can be implemented. One simply needs the ability to prepare a particular state, known as the cluster state, and…

Quantum Physics · Physics 2008-02-15 Dimitris G. Angelakis , Alastair Kay

A cluster state cannot be a unique ground state of a two-body interacting Hamiltonian. Here, we propose the creation of a cluster state of logical qubits encoded in spin-1/2 particles by adiabatically weakening two-body interactions. The…

Quantum Physics · Physics 2014-10-30 Thi Ha Kyaw , Ying Li , Leong Chuan Kwek

We give simple examples that illustrate the principles of one-way quantum computation using Gaussian continuous-variable cluster states. In these examples, we only consider single-mode evolutions, realizable via linear clusters. In…

Quantum Physics · Physics 2009-11-13 Peter van Loock

The possibility of using strongly and continuously interacting spins for quantum computation has recently been discussed. Here we present a simple optical scheme that achieves this goal while avoiding the drawbacks of earlier proposals. We…

Quantum Physics · Physics 2009-11-10 Simon C. Benjamin , Brendon W. Lovett , John H. Reina

By using 2-photon 4-qubit cluster states we demonstrate deterministic one-way quantum computation in single qubit rotation algorithm. In this operation feed-forward measurements are automatically implemented by properly choosing the…

Quantum Physics · Physics 2008-05-09 Giuseppe Vallone , Enrico Pomarico , Francesco De Martini , Paolo Mataloni

The cluster state model for quantum computation [Phys. Rev. Lett. 86, 5188] outlines a scheme that allows one to use measurement on a large set of entangled quantum systems in what is known as a cluster state to undertake quantum…

Quantum Physics · Physics 2007-05-23 William Hall

We introduce novel schemes for quantum computing based on local measurements on entangled resource states. This work elaborates on the framework established in [Phys. Rev. Lett. 98, 220503 (2007), quant-ph/0609149]. Our method makes use of…

Quantum Physics · Physics 2009-11-13 D. Gross , J. Eisert , N. Schuch , D. Perez-Garcia

Models of quantum computation are important because they change the physical requirements for achieving universal quantum computation (QC). For example, one-way QC requires the preparation of an entangled "cluster" state followed by…

Quantum Physics · Physics 2010-09-28 Dave Bacon , Steven T. Flammia