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The stabilizer ZX-calculus is a rigorous graphical language for reasoning about quantum mechanics. The language is sound and complete: one can transform a stabilizer ZX-diagram into another one using the graphical rewrite rules if and only…

量子物理 · 物理学 2023-06-22 Miriam Backens , Simon Perdrix , Quanlong Wang

We examine the dynamics of a $(1+1)$-dimensional measurement-only circuit defined by the stabilizers of the [[5,1,3]] quantum error correcting code interrupted by single-qubit Pauli measurements. The code corrects arbitrary single-qubit…

统计力学 · 物理学 2022-09-29 Kai Klocke , Michael Buchhold

The one-way model of quantum computation is an alternative to the circuit model. A one-way computation is driven entirely by successive adaptive measurements of a pre-prepared entangled resource state. For each measurement, only one outcome…

量子物理 · 物理学 2026-02-02 Piotr Mitosek , Miriam Backens

Blind quantum computation (BQC) is a secure quantum computation method that protects the privacy of clients. Measurement-based quantum computation (MBQC) is a promising approach for realizing BQC. To obtain reliable results in blind MBQC,…

量子物理 · 物理学 2023-11-21 Zihao Li , Huangjun Zhu , Masahito Hayashi

Measurement-based quantum computation (MBQC) is a model of quantum computation, in which computation proceeds via adaptive single qubit measurements on a multi-qubit quantum state. It is computationally equivalent to the circuit model.…

Measurement-based quantum computation (MBQC) represents a powerful and flexible framework for quantum information processing, based on the notion of entangled quantum states as computational resources. The most prominent application is the…

量子物理 · 物理学 2014-05-26 B. P. Lanyon , P. Jurcevic , M. Zwerger , C. Hempel , E. A. Martinez , W. Dür , H. J. Briegel , R. Blatt , C. F. Roos

The measurement-based architecture is a paradigm of quantum computing, relying on the entanglement of a cluster of qubits and the measurements of a subset of it, conditioning the state of the unmeasured output qubits. While methods to map…

量子物理 · 物理学 2024-11-20 Sebastiano Corli , Enrico Prati

Many routines that one might want to run on a quantum computer can benefit from adaptive circuits, relying on mid-circuit measurements and feed-forward operations. Any such measurement has to be compiled into a sequence of elementary gates…

量子物理 · 物理学 2024-10-17 Julio C. Magdalena de la Fuente

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

A new symmetry-preserving loop regularization method proposed in \cite{ylw} is further investigated. It is found that its prescription can be understood by introducing a regulating distribution function to the proper-time formalism of…

高能物理 - 理论 · 物理学 2009-11-10 Yue-Liang Wu

The Pauli stabilizer formalism is perhaps the most thoroughly studied means of procuring quantum error-correcting codes, whereby the code is obtained through commutative Pauli operators and ``stabilized'' by them. In this work we will show…

量子物理 · 物理学 2024-06-04 Jhih-Yuan Kao , Hsi-Sheng Goan

The ZX-calculus is a graphical language for suitably represented tensor networks, called ZX-diagrams. Calculations are performed by transforming ZX-diagrams with rewrite rules. The ZX-calculus has found applications in reasoning about…

计算复杂性 · 计算机科学 2022-06-22 Alex Townsend-Teague , Konstantinos Meichanetzidis

Measurement-based quantum computing (MBQC) in linear optical systems is promising for near-future quantum computing architecture. However, the nondeterministic nature of entangling operations and photon losses hinder the large-scale…

量子物理 · 物理学 2023-04-25 Seok-Hyung Lee , Srikrishna Omkar , Yong Siah Teo , Hyunseok Jeong

Fault-tolerant measurement-based quantum computation (MBQC) with recent progress on quantum technologies leads to a promising scalable platform for realizing quantum computation, conducted by preparing a large-scale graph state over many…

量子物理 · 物理学 2022-01-28 Hayata Yamasaki , Sathyawageeswar Subramanian

Translations between the quantum circuit model and the measurement-based one-way model are useful for verification and optimisation of quantum computations. They make crucial use of a property known as gflow. While gflow is defined for…

In this paper, we show that a qutrit version of ZX-calculus, with rules significantly different from that of the qubit version, is complete for pure qutrit stabilizer quantum mechanics, where state preparations and measurements are based on…

量子物理 · 物理学 2018-03-05 Quanlong Wang

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

The performance of quantum error correction can be significantly improved if detailed information about the noise is available, allowing to optimize both codes and decoders. It has been proposed to estimate error rates from the syndrome…

量子物理 · 物理学 2022-09-21 Thomas Wagner , Hermann Kampermann , Dagmar Bruß , Martin Kliesch

Measurement-Based Quantum Computation (MBQC) is a model of quantum computation, which uses local measurements instead of unitary gates. Here we explain that the MBQC procedure has a fundamental basis in an underlying gauge theory. This…

高能物理 - 理论 · 物理学 2024-07-10 Gabriel Wong , Robert Raussendorf , Bartlomiej Czech

In this paper we investigate stabilizer quantum error correction codes using controlled phase rotations of strong coherent probe states. We explicitly describe two methods to measure the Pauli operators which generate the stabilizer group…

量子物理 · 物理学 2009-11-13 Casey R. Myers , Marcus Silva , Kae Nemoto , William J. Munro