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In the one-way model of measurement-based quantum computation (MBQC), computation proceeds via measurements on a resource state. So-called flow conditions ensure that the overall computation is deterministic in a suitable sense, with Pauli…

量子物理 · 物理学 2023-09-01 Tommy McElvanney , Miriam Backens

In the one-way model of measurement-based quantum computation (MBQC), computation proceeds via single-qubit measurements on a resource state. Flow conditions ensure that the overall computation is deterministic in a suitable sense, and are…

量子物理 · 物理学 2025-08-21 Miriam Backens , Thomas Perez

We introduce a new characterisation of determinism in Measurement-Based Quantum Computing (MBQC). The one-way model consists in performing local measurements over a large entangled state represented by a graph. The ability to perform an…

量子物理 · 物理学 2025-01-15 Mehdi Mhalla , Simon Perdrix , Luc Sanselme

Measurement-based quantum computing (MBQC) is a universal model for quantum computation. The combinatorial characterisation of determinism in this model, powered by measurements, and hence, fundamentally probabilistic, is the cornerstone of…

量子物理 · 物理学 2017-06-23 Simon Perdrix , Luc Sanselme

In measurement-based quantum computing (MBQC), computation is carried out by a sequence of measurements and corrections on an entangled state. Flow, and related concepts, are powerful techniques for characterising the dependence of the…

量子物理 · 物理学 2023-10-25 Robert I. Booth , Damian Markham

In one-way quantum computation (1WQC) model, an initial highly entangled state called a graph state is used to perform universal quantum computations by a sequence of adaptive single-qubit measurements and post-measurement Pauli-X and…

量子物理 · 物理学 2018-09-26 Maryam Eslamy , Mahboobeh Houshmand , Morteza Saheb Zamani , Mehdi Sedighi

In measurement-based quantum computing (MBQC), computation is carried out by a sequence of measurements and corrections on an entangled state. Flow, and related concepts, are powerful techniques for characterising the dependence of the…

量子物理 · 物理学 2023-03-13 Robert I. Booth , Aleks Kissinger , Damian Markham , Clément Meignant , Simon Perdrix

Flow criteria are used to efficiently extract computations, either in the form of measurement patterns or quantum circuits, from ZX-diagrams. Existing criteria such as causal flow, generalised flow, and Pauli flow, were all originally…

量子物理 · 物理学 2026-03-11 Aleks Kissinger , John van de Wetering

The one-way model of Measurement-Based Quantum Computing and the gate-based circuit model give two different presentations of how quantum computation can be performed. There are known methods for converting any gate-based quantum circuit…

量子物理 · 物理学 2021-09-14 Will Simmons

One-way quantum computation, or measurement-based quantum computation, is a universal model of quantum computation alternative to the circuit model. The computation progresses by measurements of a pre-prepared resource state together with…

量子物理 · 物理学 2024-08-13 Piotr Mitosek

We introduce an open-source software library Graphix, which optimizes and simulates measurement-based quantum computation (MBQC). By combining the measurement calculus with an efficient graph state simulator, Graphix allows the classical…

量子物理 · 物理学 2022-12-23 Shinichi Sunami , Masato Fukushima

When applied on some particular quantum entangled states, measurements are universal for quantum computing. In particular, despite the fondamental probabilistic evolution of quantum measurements, any unitary evolution can be simulated by a…

量子物理 · 物理学 2016-10-11 Nidhal Hamrit , Simon Perdrix

Stabiliser codes with large weight measurements can be challenging to implement fault-tolerantly. To overcome this, we propose a Floquetification procedure which, given a stabiliser code, synthesises a novel Floquet code that only uses…

量子物理 · 物理学 2024-12-17 Benjamin Rodatz , Boldizsár Poór , Aleks Kissinger

The ZX-calculus is a graphical language for quantum processes with built-in rewrite rules. The rewrite rules allow equalities to be derived entirely graphically, leading to the question of completeness: can any equality that is derivable…

量子物理 · 物理学 2015-11-06 Miriam Backens

In measurement-based quantum computation (MBQC), a special highly-entangled state (called a resource state) allows for universal quantum computation driven by single-qubit measurements and post-measurement corrections. Physical realisations…

量子物理 · 物理学 2018-07-25 Monireh Houshmand , Mahboobeh Houshmand , Joseph F. Fitzsimons

Measurement-based quantum computation (MBQC) is a protocol for quantum computation that represents a model distinct from the circuit-based approach. MBQC has been proposed not only for qubits but also for qudits, continuous-variable (CV)…

量子物理 · 物理学 2025-09-30 Genji Fujii

The paradigm of measurement-based quantum computing (MBQC) starts from a highly entangled resource state on which unitary operations are executed through adaptive measurements and corrections ensuring determinism. This is set in contrast to…

量子物理 · 物理学 2023-11-29 Thierry Nicolas Kaldenbach , Matthias Heller

There are two types of universality in measurement-based quantum computation (MBQC): ${\it strict}$ and ${\it computational}$. It is well known that the former is stronger than the latter. We present a method of transforming from a certain…

量子物理 · 物理学 2024-08-01 Yuki Takeuchi

We present a general protocol for stabilizer measurements and pumping in a system of N superconducting qubits. We assume always-on, equal dispersive couplings to a single mode of a high-Q microwave resonator in the ultra-strong dispersive…

量子物理 · 物理学 2013-06-25 Simon E. Nigg , Steven M. Girvin

Analyzing and developing new quantum error-correcting schemes is one of the most prominent tasks in quantum computing research. In such efforts, introducing time dynamics explicitly in both analysis and design of error-correcting protocols…

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