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The parity gate emerged recently as a promising resource for performing universal quantum computation with fermions using only linear interactions. Here we analyse the parity gate (P-gate) from a theoretical point of view in the context of…

Quantum Physics · Physics 2007-05-23 Radu Ionicioiu

Common quantum algorithms make heavy use of ancillae: scratch qubits that are initialized at some state and later returned to that state and discarded. Existing quantum circuit languages let programmers assert that a qubit has been returned…

Logic in Computer Science · Computer Science 2019-01-30 Robert Rand , Jennifer Paykin , Dong-Ho Lee , Steve Zdancewic

Advances in quantum simulator technology is increasingly required because research on quantum algorithms is becoming more sophisticated and complex. State vector simulation utilizes CPU and memory resources in computing nodes exponentially…

Quantum Physics · Physics 2024-09-04 Mikio Morita , Yoshinori Tomita , Junpei Koyama , Koichi Kimura

A protocol is proposed to generate Bell states in two non-directly interacting qubits by means of repeated measurements of the state of a central ancilla connected to both qubits. An optimal measurement rate is found that minimizes the time…

Quantum Physics · Physics 2018-05-24 L. Magazzù , J. D. Jaramillo , P. Talkner , P. Hänggi

Microclusters are the basic building blocks used to construct cluster states capable of supporting fault-tolerant quantum computation. In this paper, we explore the consequences of errors on microcluster construction using two error models.…

Quantum Physics · Physics 2015-06-16 Eric Schneider , Kevin Zhou , Gerald Gilbert , Yaakov S. Weinstein

We propose an all-linear-optical scheme to ballistically generate a cluster state for measurement-based topological fault-tolerant quantum computation using hybrid photonic qubits entangled in a continuous-discrete domain. Availability of…

Quantum Physics · Physics 2020-08-12 S. Omkar , Y. S. Teo , H. Jeong

We establish bounds to the necessary resource consumption when building up cluster states for one-way computing using probabilistic gates. Emphasis is put on state preparation with linear optical gates, as the probabilistic character is…

Quantum Physics · Physics 2007-05-23 D. Gross , K. Kieling , J. Eisert

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

We present a scheme to improve the noise threshold for the fault-tolerant topological one-way computation with a constant overhead. Certain cluster states of finite size, say star clusters, are constructed with logical qubits through an…

Quantum Physics · Physics 2010-12-30 Keisuke Fujii , Katsuji Yamamoto

Due to the exponential complexity of the resources required by quantum state tomography (QST), people are interested in approaches towards identifying quantum states which require less effort and time. In this paper, we provide a tailored…

Information Theory · Computer Science 2017-08-02 K. Li , J. Zhang , S. Cong

Quantum metrology offers a quadratic advantage over classical approaches to parameter estimation problems by utilizing entanglement and nonclassicality. However, the hurdle of actually implementing the necessary quantum probe states and…

Measurement-based quantum computation (MQC) is a leading paradigm for building a quantum computer. Cluster states being used in this context act as one-way quantum computers. Here, we consider Z-states as a type of highly entangled states…

Quantum Physics · Physics 2019-03-07 Saipriya Satyajit , Karthik Srinivasan , Bikash K. Behera , Prasanta K. Panigrahi

Efficient state preparation is a challenging and important problem in quantum computing. In this work, we present a recursive state preparation algorithm that combines logarithmic-depth Dicke state circuits with Hamming weight encoders for…

Quantum Physics · Physics 2025-11-17 Sunil Vittal , Anthony Wilkie , Nika Rastegari , Mostafa Atallah , Rebekah Herrman

This article is a short introduction to and review of the cluster-state model of quantum computation, in which coherent quantum information processing is accomplished via a sequence of single-qubit measurements applied to a fixed quantum…

Quantum Physics · Physics 2009-11-11 Michael A. Nielsen

Quantum computing becomes viable when a quantum state can be preserved from environmentally-induced error. If quantum bits (qubits) are sufficiently reliable, errors are sparse and quantum error correction (QEC) is capable of identifying…

In this paper we discuss how to use arborescent knots to construct entangled multi-qubit states. We show that Bell-states, GHZ-states and cluster states can be constructed from such knots. The latter are particularly interesting since they…

High Energy Physics - Theory · Physics 2024-12-20 Sergey Mironov , Andrey Morozov

Many existing schemes for linear-optical quantum computing (LOQC) depend on multiplexing (MUX), which uses dynamic routing to enable near-deterministic gates and sources to be constructed using heralded, probabilistic primitives. MUXing…

The design of easy to operate high-fidelity two qubit gates remains an area of ongoing research. Many of the common schemes require dedicated controls lines, while others are vulnerable to issues of frequency crowding. Here, we propose a…

Quantum Physics · Physics 2023-08-04 Yariv Yanay , Charles Tahan

Leading approaches to fault-tolerant quantum computation dedicate a significant portion of the hardware to computational factories that churn out high-fidelity ancillas called magic states. Consequently, efficient and realistic factory…

Quantum Physics · Physics 2017-04-04 Joe O'Gorman , Earl T. Campbell

We discuss experimental effects in the implementation of a recent scheme for performing bus mediated entangling operations between qubits. Here a bus mode, a strong coherent state, successively undergoes weak Kerr-type non-linear…

Quantum Physics · Physics 2008-05-19 Peter P. Rohde , William J. Munro , Timothy C. Ralph , Peter van Loock , Kae Nemoto