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相关论文: Quantum computational universality of hypergraph s…

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Hypergraph states are generalizations of graph states where controlled-$Z$ gates on edges are replaced with generalized controlled-$Z$ gates on hyperedges. Hypergraph states have several advantages over graph states. For example, certain…

量子物理 · 物理学 2017-12-27 Tomoyuki Morimae , Yuki Takeuchi , Masahito Hayashi

Graph states and hypergraph states are of wide interest in quantum information processing and foundational studies. Efficient verification of these states is a key to various applications. Here we propose a simple method for verifying…

量子物理 · 物理学 2020-01-30 Huangjun Zhu , Masahito Hayashi

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

Many-body quantum states, as a matter of fact, are extremely essential to solve certain mathematical problems or simulate quantum systems in measurement-based quantum computation. However, how to verify large scale quantum states, such as…

量子物理 · 物理学 2022-05-31 Hong Tao , Xiaoqian Zhang , Lei Shao , Xiaoqing Tan

Measurement based (MB) quantum computation allows for universal quantum computing by measuring individual qubits prepared in entangled multipartite states, known as graph states. Unless corrected for, the randomness of the measurements…

量子物理 · 物理学 2018-02-28 Rawad Mezher , Joe Ghalbouni , Joseph Dgheim , Damian Markham

Blind quantum computing allows for secure cloud networks of quasi-classical clients and a fully fledged quantum server. Recently, a new protocol has been proposed, which requires a client to perform only measurements. We demonstrate a…

Measurement-based quantum computing (MBQC) is a model of quantum computation where quantum information is coherently processed by means of projective measurements on highly entangled states. Following the introduction of MBQC, cluster…

量子物理 · 物理学 2016-10-13 Atul Mantri , Tommaso F. Demarie , Joseph F. Fitzsimons

The ability to perform a universal set of quantum operations based solely on static resources and measurements presents us with a strikingly novel viewpoint for thinking about quantum computation and its powers. We consider the two major…

量子物理 · 物理学 2007-05-23 Panos Aliferis , Debbie W. Leung

Weighted graph states are a natural generalization of graph states, which are generated by applying controlled-phase gates, instead of controlled-Z gates, to a separable state. In this paper, we show that uniformly weighted graph states on…

量子物理 · 物理学 2025-12-02 Tomohiro Yamazaki , Yuki Takeuchi

Verification is a task to check whether a given quantum state is close to an ideal state or not. In this paper, we show that a variety of many-qubit quantum states can be verified with only sequential single-qubit measurements of Pauli…

量子物理 · 物理学 2018-06-13 Yuki Takeuchi , Tomoyuki Morimae

We consider the problem of minimizing resources required for universal quantum computation using only projective measurements. The resources we focus on are observables, which describe projective measurements, and ancillary qubits. We show…

量子物理 · 物理学 2015-05-18 Yasuhiro Takahashi

We introduce a new family of models for measurement-based quantum computation which are deterministic and approximately universal. The resource states which play the role of graph states are prepared via 2-qubit gates of the form…

量子物理 · 物理学 2019-05-01 Aleks Kissinger , John van de Wetering

We investigate which entanglement resources allow universal measurement-based quantum computation via single-qubit operations. We find that any entanglement feature exhibited by the 2D cluster state must also be present in any other…

量子物理 · 物理学 2007-05-23 Maarten Van den Nest , Akimasa Miyake , Wolfgang Dür , Hans J. Briegel

The Measurement Based Quantum Computation (MBQC) model achieves universal quantum computation by employing projective single qubit measurements with classical feedforward on a highly entangled multipartite cluster state. Rapid advances in…

量子物理 · 物理学 2021-12-23 Swapnil Nitin Shah

We introduce a simple protocol for verifiable measurement-only blind quantum computing. Alice, a client, can perform only single-qubit measurements, whereas Bob, a server, can generate and store entangled many-qubit states. Bob generates…

量子物理 · 物理学 2015-12-02 Masahito Hayashi , Tomoyuki Morimae

The paradigm of measurement-based quantum computation opens new experimental avenues to realize a quantum computer and deepens our understanding of quantum physics. Measurement-based quantum computation starts from a highly entangled…

The measurement based, or one-way, model of quantum computation for continuous variables uses a highly entangled state called a cluster state to accomplish the task of computing. Cluster states that are universal for computation are a…

量子物理 · 物理学 2019-12-11 Darren W. Moore

One of the fundamental questions in quantum information theory is to find how many measurement bases are required to obtain the full information of a quantum state. While a minimum of four measurement bases is typically required to…

量子物理 · 物理学 2025-01-29 Tianfeng Feng , Tianqi Xiao , Yu Wang , Shengshi Pang , Farhan Hanif , Xiaoqi Zhou , Qi Zhao , M. S. Kim , Jinzhao Sun

Quantum measurement is universal for quantum computation. This universality allows alternative schemes to the traditional three-step organisation of quantum computation: initial state preparation, unitary transformation, measurement. In…

量子物理 · 物理学 2007-05-23 Simon Perdrix , Philippe Jorrand

Efficient verification of multipartite quantum states is crucial to many applications in quantum information processing. By virtue of Schmidt decomposition and mutually unbiased bases, here we propose a universal protocol to verify…

量子物理 · 物理学 2026-03-04 Yunting Li , Huangjun Zhu
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