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Magic state distillation is a critical component in leading proposals for fault-tolerant quantum computation. Relatively little is known, however, about how to construct a magic state distillation routine or, more specifically, which…

Quantum Physics · Physics 2016-03-07 Mark Howard , Hillary Dawkins

Based on a perturbative approach, we propose a simple and efficient method to engineer topological edge states in two dimensional magnetic photonic crystals. The topological edge states in the microstructures can be constructed and varied…

Optics · Physics 2017-12-29 Bing Yang , Tong Wu , Xiangdong Zhang

We propose a protocol to prepare a high-fidelity magic state on a two-dimensional (2D) color code using a three-dimensional (3D) color code. Our method modifies the known code switching protocol with (i) a recently discovered transversal…

Quantum Physics · Physics 2025-04-25 Lucas Daguerre , Isaac H. Kim

Variational quantum algorithms (VQAs) face an inherent trade-off between expressivity and trainability: deeper circuits can represent richer states but suffer from noise accumulation and barren plateaus, while shallow circuits remain…

Quantum Physics · Physics 2025-10-31 Shaojun Wu , Shan Jin , Abolfazl Bayat , Xiaoting Wang

Magic State Distillation is considered to be one of the promising methods for supplying the non-Clifford resources required to achieve universal fault tolerance. Conventional MSD protocols implemented in surface codes often require multiple…

Quantum Physics · Physics 2026-02-25 Shifan Xu , Kun Liu , Patrick Rall , Zhiyang He , Yongshan Ding

Magic state distillation plays a crucial role in fault-tolerant quantum computation and represents a major bottleneck. In contrast to traditional logical-level distillation, physical-level distillation offers significant overhead reduction…

Quantum Physics · Physics 2025-10-29 Yutaka Hirano , Riki Toshio , Tomohiro Itogawa , Keisuke Fujii

We investigate sketch-like pen input as an alternative way to support execution control in interactive debugging. In our interface, programmers draw lightweight marks to set breakpoints, use symbolic strokes to control execution, and extend…

Human-Computer Interaction · Computer Science 2026-05-26 Helen Weixu Chen , Daniel Vogel

Measures of quantum nonlocality traditionally assume perfect local computation. In real experiments, however, each computational primitive is imperfect. Fault-tolerant techniques enable arbitrarily accurate quantum computation but do not…

Quantum Physics · Physics 2025-03-19 Andy Zeyi Liu , Debbie Leung

In this paper, we will introduce a high order numerical method to solve the scattering problems with non-periodic incident fields and (locally perturbed) periodic surfaces. For the problems we are considering, the classical methods to treat…

Numerical Analysis · Mathematics 2018-07-26 Ruming Zhang

We revisit a class of integer optimal control problems for which a trust-region method has been proposed and analyzed in arXiv:2106.13453v3 [math.OC]. While the algorithm proposed in arXiv:2106.13453v3 [math.OC] successfully solves the…

Optimization and Control · Mathematics 2024-08-07 Lorena Bociu , Paul Manns , Marvin Severitt , Sarah Strikwerda

A recently developed self-healing diffusion Monte Carlo algorithm [PRB 79, 195117] is extended to the calculation of excited states. The formalism is based on an excited-state fixed-node approximation and the mixed estimator of the…

Strongly Correlated Electrons · Physics 2015-05-13 Fernando A. Reboredo

We present optimized distillation schemes for preparing Greenberger-Horne-Zeilinger (GHZ) states. Our approach relies on training variational quantum circuits with white noise affected GHZ states as inputs. Optimizing for a single iteration…

Quantum Physics · Physics 2024-02-27 Áron Rozgonyi , Gábor Széchenyi , Orsolya Kálmán , Tamás Kiss

Continuous-variable systems protected by bosonic quantum error-correcting codes have emerged as a promising platform for quantum information processing. To date, design of codewords has centered on optimizing the occupation of basis states…

Quantum Physics · Physics 2021-07-07 Linshu Li , Dylan J. Young , Victor V. Albert , Kyungjoo Noh , Chang-Ling Zou , Liang Jiang

With the large-scale integration and use of neural network models, especially in critical embedded systems, their security assessment to guarantee their reliability is becoming an urgent need. More particularly, models deployed in embedded…

Cryptography and Security · Computer Science 2023-09-01 Clement Gaine , Pierre-Alain Moellic , Olivier Potin , Jean-Max Dutertre

Magic state cultivation is a leading approach for generating the resource states required for fault-tolerant quantum computation. Here we present a new cultivation protocol that increases the success probability of magic-state generation in…

Quantum Physics · Physics 2026-02-02 Yotam Vaknin , Shoham Jacoby , Arne Grimsmo , Alex Retzker

Most quantum error correcting codes are predicated on the assumption that there exists a reservoir of qubits in the state $\ket{0}$, which can be used as ancilla qubits to prepare multi-qubit logical states. In this report, we examine the…

Quantum Physics · Physics 2013-05-30 Ben Criger , Osama Moussa , Raymond Laflamme

Designs for quantum error correction depend strongly on the connectivity of the qubits. For solid state qubits, the most straightforward approach is to have connectivity constrained to a planar graph. Practical considerations may also…

Quantum Physics · Physics 2024-12-17 Bence Hetényi , James R. Wootton

Magic states are eigenstates of non-Pauli operators. One way of suppressing errors present in magic states is to perform parity measurements in their non-Pauli eigenbasis and postselect on even parity. Here we develop new protocols based on…

Quantum Physics · Physics 2018-02-23 Earl T. Campbell , Mark Howard

Recent studies of globally controlled structures have culminated in a theoretical demonstration that fault-tolerant quantum computation can be carried out on a one--dimensional chain with control over two global fields only. This required…

Quantum Physics · Physics 2007-05-23 Alastair Kay

We refine ideas from Knill 1996, Jones 2016, Chamberland 2020, Gidney 2023+2024, Bombin 2024, and Hirano 2024 to efficiently prepare good $|T\rangle$ states. We call our construction "magic state cultivation" because it gradually grows the…

Quantum Physics · Physics 2024-09-27 Craig Gidney , Noah Shutty , Cody Jones