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Dynamic circuits use real-time outcomes of mid-circuit measurements, processed by a classical controller, to adapt subsequent operations during circuit execution. This additional flexibility over static circuits comes at a price.…

Quantum Physics · Physics 2026-05-28 Innocenzo Fulginiti , Yanbin Chen , Christian B. Mendl , Helmut Seidl

As quantum computing moves from isolated experiments toward integration with large-scale workflows, the integration of quantum devices into HPC systems has gained much interest. Quantum cloud providers expose shared devices through…

Quantum Physics · Physics 2026-04-10 Sinan Pehlivanoglu , Ulrik de Muelenaere , Peter Kogge , Amr Sabry

Quantum error correction represents a significant milestone in large-scale quantum computing, with the surface code being a prominent strategy due to its high error threshold and experimental feasibility. However, it is challenging to…

Quantum Physics · Physics 2024-12-23 Zhi-Cheng He , Zheng-Yuan Xue

Magic state distillation (MSD) is a cornerstone of fault-tolerant quantum computing, enabling non-Clifford gates via state injection into stabilizer circuits. However, the substantial overhead of current MSD protocols remains a major…

Quantum Physics · Physics 2026-05-26 Muhammad Erew , Moshe Goldstein , Yaron Oz , Haim Suchowski

Efficiently realizing logical operations on general stabilizer codes remains a long-standing challenge in fault tolerant quantum computing. While code surgery provides a general framework with provable guarantees by joint logical…

Quantum Physics · Physics 2026-05-22 Junyu Zhou , Ali Javadi-Abhari , Gushu Li

Nonstabilizerness, also known as magic, is a crucial resource for quantum computation. The growth in complexity of quantum processing units (QPUs) demands robust and scalable techniques for characterizing this resource. We introduce the…

Logical T state preparation is a major overhead source in fault tolerant architectures built from stabilizer operations. Existing protocols, however, are reported under different code families, noise models, postselection rules, and cost…

Quantum Physics · Physics 2026-05-27 Jianshuo Gao , Xiao Yuan , Yuan Yao

Processing-in-memory (PIM) seeks to eliminate computation/memory data transfer using devices that support both storage and logic. Stateful logic techniques such as IMPLY, MAGIC and FELIX can perform logic gates within memristive crossbar…

Hardware Architecture · Computer Science 2021-09-21 Orian Leitersdorf , Ronny Ronen , Shahar Kvatinsky

In this paper we study reusable magic states. These states are a special subset of the standard magic states. Once distilled, reusable magic states can be used, repeatedly, to apply some unitary U. Given this property, reusable magic states…

Quantum Physics · Physics 2012-05-24 Jonas T. Anderson

Given a quantum gate circuit, how does one execute it in a fault-tolerant architecture with as little overhead as possible? In this paper, we discuss strategies for surface-code quantum computing on small, intermediate and large scales.…

Quantum Physics · Physics 2019-03-07 Daniel Litinski

Fault-tolerant quantum computation relies on the assumption of time-invariant, sufficiently low physical error rates. However, current superconducting quantum computers suffer from frequent disruptive noise events, including cosmic ray…

Magic, or nonstabilizerness, characterizes the deviation of a quantum state from the set of stabilizer states and plays a fundamental role from quantum state complexity to universal fault-tolerant quantum computing. However, analytical or…

Quantum Physics · Physics 2024-05-22 Junjie Chen , Yuxuan Yan , You Zhou

We present magic state factory constructions for producing $|CCZ\rangle$ states and $|T\rangle$ states. For the $|CCZ\rangle$ factory we apply the surface code lattice surgery construction techniques described by Fowler et al. to the…

Quantum Physics · Physics 2019-05-01 Craig Gidney , Austin G. Fowler

We show that using qutrits rather than qubits leads to a substantial reduction in the overhead cost associated with an approach to fault-tolerant quantum computing known as magic state distillation. We construct a family of $[[9m-k, k,…

Quantum Physics · Physics 2025-06-18 Shiroman Prakash , Tanay Saha

Magic states are a scarce resource for two-dimensional qubit stabilizer codes. Magic state cultivation was recently proposed to reduce the cost of magic state preparation by measuring the transversal Clifford operator of the color code.…

Quantum Physics · Physics 2026-05-11 Bence Hetényi , Benjamin J. Brown , Dominic J. Williamson

Lattice surgery with two-dimensional quantum error correcting codes is among the leading schemes for fault-tolerant quantum computation, motivated by superconducting hardware architectures. In conventional lattice surgery compilation…

Quantum Physics · Physics 2025-12-05 Laura S. Herzog , Lucas Berent , Aleksander Kubica , Robert Wille

Given stabilizer operations and the ability to repeatedly prepare a single-qubit mixed state rho, can we do universal quantum computation? As motivation for this question, "magic state" distillation procedures can reduce the general…

Quantum Physics · Physics 2007-05-23 Ben W. Reichardt

Fault-tolerant quantum computation (FTQC) schemes that use multi-qubit large block codes can potentially reduce the resource overhead to a great extent. A major obstacle is the requirement of a large number of clean ancilla states of…

Quantum Physics · Physics 2018-03-23 Yi-Cong Zheng , Ching-Yi Lai , Todd A. Brun

Magic is a non-classical resource whose efficient manipulation is fundamental to advancing efficient and scalable fault-tolerant quantum computing. Quantum advantage is possible only if both magic and entanglement are present. Of particular…

We present a resource analysis for generating high-fidelity logical magic states on silicon spin-qubit platforms. We consider a range of architectures, including a shuttling-based SpinBus design, a dense nearest-neighbor layout, and a…

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