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For many applications the presence of a quantum advantage crucially depends on the availability of resourceful states. Although the resource typically depends on the particular task, in the context of multipartite systems entangled quantum…

Quantum Physics · Physics 2025-01-03 Jonathan Steinberg , Otfried Gühne

Quantum computers promise dramatic advantages over their classical counterparts, but the answer to the most basic question "What is the source of the power in quantum computing?" has remained elusive. Here we prove a remarkable equivalence…

Quantum Physics · Physics 2014-10-16 Mark Howard , Joel J. Wallman , Victor Veitch , Joseph Emerson

Recent results on the non-universality of fault-tolerant gate sets underline the critical role of resource states, such as magic states, to power scalable, universal quantum computation. Here we develop a resource theory, analogous to the…

Quantum Physics · Physics 2015-06-16 Victor Veitch , Seyed Ali Hamed Mousavian , Daniel Gottesman , Joseph Emerson

Measurement-based quantum computation describes a scheme where entanglement of resource states is utilized to simulate arbitrary quantum gates via local measurements. Recent works suggest that symmetry-protected topologically non-trivial,…

Quantum Physics · Physics 2018-02-14 Yanzhu Chen , Abhishodh Prakash , Tzu-Chieh Wei

This work introduces optimization strategies to continuous variable measurement based quantum computation (MBQC) at different levels. We provide a recipe for mitigating the effects of finite squeezing, which affect the production of cluster…

Quantum Physics · Physics 2016-05-11 G. Ferrini , J. Roslund , F. Arzani , Y. Cai , C. Fabre , N. Treps

We propose a novel technique for optimizing a modular fault-tolerant quantum computing architecture, taking into account any desired space-time trade-offs between the number of physical qubits and the fault-tolerant execution time of a…

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.…

While quantum computers are expected to yield considerable advantages over classical devices, the precise features of quantum theory enabling these advantages remain unclear. Contextuality--the denial of a notion of classical physical…

Quantum Physics · Physics 2018-06-11 Nadish de Silva

We build a framework allowing for a systematic investigation of the issue: "Which quantum states are universal resources for one-way quantum computation?" We start by re-examining what is exactly meant by "universality" in quantum…

Quantum Physics · Physics 2007-07-31 M. Van den Nest , W. Dür , A. Miyake , H. J. Briegel

Quantum resource theories allow us to quantify a useful quantum phenomenon, to develop new protocols for its detection and determine the exact processes that maximize its use for practical tasks. These theories aim at transforming physical…

Quantum Physics · Physics 2022-11-16 Abdallah Slaoui

Fermions, as a major class of quantum particles, provide platforms for quantum information processing beyond the possibilities of spins or bosons which have been studied more extensively. One particularly interesting model to study, in view…

Quantum Physics · Physics 2015-06-05 Yu-Ju Chiu , Xie Chen , Isaac L. Chuang

Recent advances in quantum hardware are bringing fault-tolerant quantum computing (FTQC) closer to reality. In the early stage of FTQC, however, the numbers of available logical qubits and high-fidelity $T$ gates remain limited, making it…

Quantum Physics · Physics 2025-09-04 Yuya O. Nakagawa , Yasunori Lee

Quantum computing platforms are evolving to a point where placing high numbers of qubits into a single core comes with certain difficulties such as fidelity, crosstalk, and high power consumption of dense classical electronics. Utilizing…

We show that every quantum computation can be described by Bayesian update of a probability distribution on a finite state space. When applied to the model of quantum computation with magic states, the size of this state space only depends…

Quantum Physics · Physics 2021-02-02 Michael Zurel , Cihan Okay , Robert Raussendorf

We improve the upper bound on the minimal resources required for measurement-based quantum computation. Minimizing the resources required for this model is a key issue for experimental realization of a quantum computer based on projective…

Quantum Physics · Physics 2007-09-20 Simon Perdrix

Measurement-Based Quantum Computing (MBQC) is inherently well-suited for Distributed Quantum Computing (DQC): once a resource state is prepared and distributed across a network of quantum nodes, computation proceeds through local…

Quantum Physics · Physics 2026-01-13 Kjell Fredrik Pettersen , Matthias Heller , Giorgio Sartor , Raoul Heese

In measurement-based quantum computation (MBQC), quantum circuits are implemented using adaptive measurements on an entangled resource state. In practice, the resource state will always be prepared with some noise, and it is crucial to…

Quantum Physics · Physics 2026-03-17 David T. Stephen , Michael Foss-Feig

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…

Quantum Physics · Physics 2007-05-23 Panos Aliferis , Debbie W. Leung

To achieve universal quantum computation via general fault-tolerant schemes, stabilizer operations must be supplemented with other non-stabilizer quantum resources. Motivated by this necessity, we develop a resource theory for magic quantum…

Quantum Physics · Physics 2019-10-09 Xin Wang , Mark M. Wilde , Yuan Su

Blind quantum computation (BQC) enables a client with less quantum computational ability to delegate her quantum computation to a server with strong quantum computational power while preserving the client's privacy. Generally, many-qubit…

Quantum Physics · Physics 2022-01-11 Xiaoqian Zhang