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The leading approach to fault tolerant quantum computing requires a continual supply of magic states. When a new magic state is first encoded, its initial fidelity will be too poor for use in the computation. This necessitates a…

Quantum Physics · Physics 2015-03-24 Ying Li

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

Achieving high-fidelity entangling operations between qubits consistently is essential for the performance of multi-qubit systems and is a crucial factor in achieving fault-tolerant quantum processors. Solid-state platforms are particularly…

Magic state distillation is a crucial component in the leading approaches to implementing universal fault tolerant quantum computation, with existing protocols for both qubit and higher dimensional systems. Early work focused on determining…

Quantum Physics · Physics 2016-03-25 Hillary Dawkins , Mark Howard

Semiconductor spin qubits based on spin-orbit states are responsive to electric field excitation allowing for practical, fast and potentially scalable qubit control. Spin-electric susceptibility, however, renders these qubits generally…

Magic states are essential yet resource-intensive components for realizing universal fault-tolerant quantum computation. Preparing magic states within emerging quantum low-density parity-check (qLDPC) codes poses additional challenges, due…

Quantum Physics · Physics 2025-05-13 Guo Zhang , Yuanye Zhu , Xiao Yuan , Ying Li

We present a theorem that shows that all useful protocols for magic state distillation output states with a fidelity that is upper-bounded by those generated by a much smaller class of protocols. This reduced class consists of the protocols…

Quantum Physics · Physics 2010-02-15 Earl T. Campbell , Dan E. Browne

Quantum resource distillation is a fundamental task in quantum information science and technology. Minimizing the overhead of distillation is crucial for the realization of quantum computation and other technologies. Here we explicitly…

Quantum Physics · Physics 2025-10-15 Kun Fang , Zi-Wen Liu

Efficient constructions for quantum logic are essential since quantum computation is experimentally challenging. This thesis develops quantum logic synthesis as a paradigm for reducing the resource overhead in fault-tolerant quantum…

Quantum Physics · Physics 2013-10-29 N. Cody Jones

Magic state distillation (MSD) is the leading approach to generate the non-Clifford resources required for universal fault-tolerant quantum computation. While most analyses assume ideal measurements in the distillation process, this…

Quantum Physics · Physics 2026-01-15 Yunzhe Zheng , Yuanchen Zhao , Dong E. Liu

Recently we proposed a family of magic state distillation protocols that obtains asymptotic performance that is conjectured to be optimal. This family depends upon several codes, called "inner codes" and "outer codes." We presented some…

Quantum Physics · Physics 2018-04-09 Jeongwan Haah , Matthew B. Hastings , D. Poulin , D. Wecker

We design and analyze a logical qubit composed of a linear array of electron spins in semiconductor quantum dots. To avoid the difficulty of fully controlling a two-dimensional array of dots, we adapt spin control and error correction to a…

As quantum computing progresses towards the early fault-tolerant regime, quantum error correction will play a crucial role in protecting qubits and enabling logical Clifford operations. However, the number of logical qubits will initially…

Quantum Physics · Physics 2025-11-11 Surabhi Luthra , Alexandra E. Moylett , Dan E. Browne , Earl T. Campbell

Determining the best attainable threshold for qudit magic state distillation is directly related to the question of whether or not contextuality is sufficient for universal quantum computation. We show that the performance of a qudit…

Quantum Physics · Physics 2026-03-11 Shiroman Prakash , Rishabh Singhal

I reduce the cost to prepare magic states with lattice surgery operations on the surface code by using a recursive implementation of 15-to-1 magic state distillation. On a rotated surface code with distance $d$, $|T\rangle$ preparation…

Quantum Physics · Physics 2026-03-06 Jonathan E. Moussa

Using micromagnets to enable electron spin manipulation in silicon qubits has emerged as a very popular method, enabling single-qubit gate fidelities larger than 99:9%. However, these micromagnets also apply stray magnetic field gradients…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 N. I. Dumoulin Stuyck , F. A. Mohiyaddin , R. Li , M. Heyns , B. Govoreanu , I. P. Radu

Electron spin qubits in silicon are a promising platform for fault-tolerant quantum computing. Low-frequency noise, including nuclear spin fluctuations and charge noise, is a primary factor limiting gate fidelities. Suppressing this noise…

Mesoscale and Nanoscale Physics · Physics 2024-11-13 Ning Wang , Shao-Min Wang , Run-Ze Zhang , Jia-Min Kang , Wen-Long Lu , Hai-Ou Li , Gang Cao , Bao-Chuan Wang , Guo-Ping Guo

Magic state distillation (MSD) is a purification protocol that plays a central role in fault tolerant quantum computation. Repeated iteration of the steps of a MSD protocol, generates pure single non-stabilizer states, or magic states, from…

Quantum Physics · Physics 2012-06-11 Hussain Anwar , Earl T. Campbell , Dan E. Browne

We develop a procedure for distilling magic states used in universal quantum computing that requires substantially fewer initial resources than prior schemes. Our distillation circuit is based on a family of concatenated quantum codes that…

Quantum Physics · Physics 2013-04-10 Cody Jones

Magic State Distillation (MSD) has been a research focus for fault-tolerant quantum computing due to the need for non-Clifford resource in gaining quantum advantage. Although many of the MSD protocols so far are based on stabilizer codes…

Quantum Physics · Physics 2025-09-23 Yunzhe Zheng , Dong E. Liu