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In this chapter a quantum communication protocol with use of repeaters is presented. The protocol is constructed for qudits i.e. the generalized quantum information units. One-dit teleportation is based on the generalized Pauli-Z…

量子物理 · 物理学 2016-04-14 Marek Sawerwain , Joanna Wiśniewska

We present an abstract model of quantum computation, the "Pauli Fusion" model, whose primitive operations correspond closely to generators of the ZX calculus (a formal graphical language for quantum computing). The fundamental operations of…

量子物理 · 物理学 2020-05-04 Niel de Beaudrap , Ross Duncan , Dominic Horsman , Simon Perdrix

We present a tomographic protocol for the characterization of multiqubit quantum channels. We discuss a specific class of input states, for which the set of Pauli measurements at the output of the channel directly relates to its Pauli…

量子物理 · 物理学 2023-11-01 Simone Roncallo , Lorenzo Maccone , Chiara Macchiavello

Many architectures for quantum information processing rely on qubits dedicated for the readout of a larger quantum register. These ancilla readout qubits present a physical overhead not contributing to the computational resource. A common…

介观与纳米尺度物理 · 物理学 2025-03-12 Pieter Thijs Eendebak , Önder Gül

In quantum information transformation and quantum computation, the most critical issues are security and accuracy. These features, therefore, stimulate research on quantum state characterization. A characterization tool, Quantum state…

量子物理 · 物理学 2023-06-01 Xudan Chai , Teng Ma , Qihao Guo , Zhangqi Yin , Hao Wu , Qing Zhao

The ubiquity of stabilizer circuits in the design and operation of quantum computers makes techniques to verify their correctness essential. The simulation of stabilizer circuits, which aims to replicate their behavior using a classical…

量子物理 · 物理学 2023-09-19 Vadym Kliuchnikov , Michael Beverland , Adam Paetznick

We introduce a flow condition on open graph states (graph states with inputs and outputs) which guarantees globally deterministic behavior of a class of measurement patterns defined over them. Dependent Pauli corrections are derived for all…

量子物理 · 物理学 2009-11-11 Vincent Danos , Elham Kashefi

There are several models of quantum computation which exhibit shared fundamental fault-tolerance properties. This article makes commonalities explicit by presenting these different models in a unifying framework based on the ZX calculus. We…

量子物理 · 物理学 2024-06-21 Hector Bombin , Daniel Litinski , Naomi Nickerson , Fernando Pastawski , Sam Roberts

The LogQ algorithm encodes Quadratic Unconstrained Binary Optimization (QUBO) problems, which are often encountered in the industry (portfolio optimization, fleet optimization, charging stations, etc.). It was developed within the framework…

最优化与控制 · 数学 2026-04-15 Jérémie Messud , Yagnik Chatterjee

We examine the robustness of a logical qubit in the planar surface code subject to 'measurement-errors', i.e., to local Pauli measurements at known positions. This yields a measurement-only dynamics, which is driven by the competition…

量子物理 · 物理学 2023-12-12 Thomas Botzung , Michael Buchhold , Sebastian Diehl , Markus Müller

Quantum simulation, the study of strongly correlated quantum matter using synthetic quantum systems, has been the most successful application of quantum computers to date. It often requires determining observables with high precision, for…

We discuss a simple variant of the one-way quantum computing model [R. Raussendorf and H.-J. Briegel, PRL 86, 5188, 2001], called the Pauli measurement model, where measurements are restricted to be along the eigenbases of the Pauli X and Y…

量子物理 · 物理学 2007-10-10 Marcus Silva , Vincent Danos , Elham Kashefi , Harold Ollivier

Measurement based quantum computation (MBQC) is an effective paradigm for universal quantum computation. In this scheme, the universal set of quantum gates are realized by only local measurements on the prior prepared cluster states. The…

量子物理 · 物理学 2013-11-26 Ding Zhong , Jian Wang , Ning Dai , Liang-Zhu Mu , Heng Fan

The d-level or qudit one-way quantum computer (d1WQC) is described using the valence bond solid formalism and the generalised Pauli group. This formalism provides a transparent means of deriving measurement patterns for the implementation…

量子物理 · 物理学 2009-11-11 Sean Clark

We construct qubit stabilizer codes with parameters $[[81, 0, 20]]$ and $[[94, 0, 22]]$ for the first time. We use symplectic self-dual additive codes over $\mathbb{F}_4$ built by modifying the adjacency matrices of suitable metacirculant…

信息论 · 计算机科学 2021-05-28 Padmapani Seneviratne , Martianus Frederic Ezerman

We propose a measurement scheme that validates the preparation of an $n$-qubit stabilizer state. The scheme involves a measurement of $n$ Pauli observables, a priori determined from the stabilizer state and which can be realized using…

量子物理 · 物理学 2019-09-17 Amir Kalev , Anastasios Kyrillidis , Norbert M. Linke

Measurement-based quantum computation (MBQC) is a paradigm for quantum computation where computation is driven by local measurements on a suitably entangled resource state. In this work we show that MBQC is related to a model of quantum…

量子物理 · 物理学 2024-12-25 Hendrik Poulsen Nautrup , Hans J. Briegel

We discuss a method to adapt the codeword stabilized (CWS) quantum code framework to the problem of finding asymmetric quantum codes. We focus on the corresponding Pauli error models for amplitude damping noise and phase damping noise. In…

量子物理 · 物理学 2016-10-31 Tyler Jackson , Markus Grassl , Bei Zeng

We introduce a new paradigm for quantum computing called Ancilla-Driven Quantum Computation (ADQC) combines aspects of the quantum circuit and the one-way model to overcome challenging issues in building large-scale quantum computers.…

量子物理 · 物理学 2010-08-12 Elham Kashefi , Daniel K. L. Oi , Daniel E. Browne , Janet Anders , Erika Andersson

We propose an extension to the Pauli stabiliser formalism that includes fractional $2\pi/N$ rotations around the $Z$ axis for some integer $N$. The resulting generalised stabiliser formalism - denoted the XP stabiliser formalism - allows…

量子物理 · 物理学 2022-09-28 Mark A. Webster , Benjamin J. Brown , Stephen D. Bartlett