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Quantum mechanics permits certain kinds of non-local effects. This paper demonstrates how these can be used for distributed computation with minimal communication between various processors. The problem considered is that of estimating the…

Quantum Physics · Physics 2008-02-03 Lov K. Grover

The big challenge in quantum computing is to realize scalable multi-qubit systems with cross-talk free addressability and efficient coupling of arbitrarily selected qubits. Quantum networks promise a solution by integrating smaller qubit…

For the efficient implementation of quantum algorithms, practical ways to generate many-body entanglement are a basic requirement. Specifically, coupling multiple qubit pairs at once can be advantageous and can lead to multi-qubit…

Quantum Physics · Physics 2022-09-30 Maximilian Nägele , Christian Schweizer , Federico Roy , Stefan Filipp

Local operations on subsystems and classical communication between parties (LOCC) constitute the most general protocols available on spatially separated quantum systems. Every LOCC protocol implements a separable generalized measurement --…

Quantum Physics · Physics 2014-08-07 Scott M. Cohen

Most protocols for Quantum Information Processing consist of a series of quantum gates, which are applied sequentially. In contrast, interactions, for example between matter and fields, as well as measurements such as homodyne detection of…

Quantum Physics · Physics 2015-06-15 Christine A. Muschik , Klemens Hammerer , Eugene S. Polzik , Ignacio J. Cirac

Design of a large-scale quantum computer has paramount importance for science and technologies. We investigate a scheme for realization of quantum algorithms using noncomposite quantum systems, i.e., systems without subsystems. In this…

Quantum Physics · Physics 2015-04-07 E. O. Kiktenko , A. K. Fedorov , A. A. Strakhov , V. I. Man'ko

We offer an alternative to the conventional network formulation of quantum computing. We advance the analog approach to quantum logic gate/circuit construction. As an illustration, we consider the spatially extended NOT gate as the first…

Quantum Physics · Physics 2014-11-18 Dima Mozyrsky , Vladimir Privman , Steven P. Hotaling

We study non-local two-qubit operations from a geometric perspective. By applying a Cartan decomposition to su(4), we find that the geometric structure of non-local gates is a 3-Torus. We derive the invariants for local transformations, and…

Quantum Physics · Physics 2011-04-22 Jun Zhang , Jiri Vala , K. Birgitta Whaley , Shankar Sastry

Quadratically Constrained Quadratic Programs (QCQPs) are an important class of optimization problems with diverse real-world applications. In this work, we propose a variational quantum algorithm for general QCQPs. By encoding the variables…

Quantum Physics · Physics 2023-09-20 Hongyi Zhou , Sirui Peng , Qian Li , Xiaoming Sun

We study when a non--local unitary operation acting on two $d$--level systems can probabilistically simulate another one when arbitrary local operations and classical communication are allowed. We provide necessary and sufficient conditions…

Quantum Physics · Physics 2009-11-07 W. Dür , G. Vidal , J. I. Cirac

We consider the CNOT quantum gate as a physical action, i.e. as unitary in time evolution of the two-qubit system. This points to the modeling of the interaction Hamiltonian of the two-qubit system which would correspond to the CNOT…

Quantum Physics · Physics 2007-05-23 Miroljub Dugic

The Swap gate is a ubiquitous tool for moving information on quantum hardware, yet it can be considered a classical operation because it does not entangle product states. Genuinely quantum operations could outperform Swap for the task of…

Quantum Physics · Physics 2023-02-02 Aniruddha Bapat , Andrew M. Childs , Alexey V. Gorshkov , Eddie Schoute

Several proposed quantum computer models include measurement processes, in order to implement nonlocal gates and create necessary entanglement resources during the computation. We introduce a scheme in which the measurements can be delayed…

Quantum Physics · Physics 2007-05-23 Daegene Song

We conjecture analytic expressions for the non-local magic of bipartite pure qudit states of prime local dimension. Our construction relies on the Schmidt-aligned state attaining the minimum over local unitaries, a hypothesis that we…

Quantum Physics · Physics 2026-03-11 Giorgio Busoni , John Gargalionis , Ewan N. V. Wallace , Martin J. White

Future quantum devices often rely on favourable scaling with respect to the system components. To achieve desirable scaling, it is therefore crucial to implement unitary transformations in an efficient manner. We develop an upper bound for…

Quantum Physics · Physics 2018-06-13 Christian Arenz , Herschel Rabitz

Quantum Annealing has proven to be a powerful tool to tackle several optimization problems. However, its performance is severely impacted by the limited connectivity of the underlying quantum hardware, compromising the quantum speedup. In…

Quantum Physics · Physics 2024-03-21 Raúl Santos , Lorenzo Buffoni , Yasser Omar

Current technologies in quantum-based communications bring a new integration of quantum data with classical data for hybrid processing. However, the frameworks of these technologies are restricted to a single classical or quantum task,…

Quantum Physics · Physics 2022-09-02 Quoc Hoan Tran , Sanjib Ghosh , Kohei Nakajima

Quantum computing with qudits, quantum systems with $d > 2$ levels, offers a powerful extension beyond qubits, expanding the computational possibilities of quantum systems, allowing the simplification of the implementation of several…

Quantum Physics · Physics 2024-10-10 Francesco Pudda , Mario Chizzini , Luca Crippa

We discuss the implementation of optical quantum networks where the interface between stationary and photonic qubits is realized by optomechanical transducers [K. Stannigel et al., PRL 105, 220501 (2010)]. This approach does not rely on the…

Quantum Physics · Physics 2012-01-04 K. Stannigel , P. Rabl , A. S. Sørensen , M. D. Lukin , P. Zoller

Two protocols are proposed for two closely linked but different variants of remote implementation of quantum operators of specific forms. The first protocol is designed for the remote implementation of the single qubit hidden quantum…

Quantum Physics · Physics 2024-09-04 Satish Kumar , Kuldeep Gangwar , Anirban Pathak