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High-fidelity gate operations are essential to the realization of a fault-tolerant quantum computer. In addition, the physical resources required to implement gates must scale efficiently with system size. A longstanding goal of the…

We present improved circuits for the control-control-phase (Toffoli) gate and the control-swap (Fredkin) gate using three and four global two-qubit gates, respectively. This is a nearly double speed-up compared to the conventional circuits,…

Quantum Physics · Physics 2015-03-19 Svetoslav S. Ivanov , Peter A. Ivanov , Nikolay V. Vitanov

We present a way for implementing an n-qubit controlled-rotation gate with three-level superconducting qubit systems in cavity QED. The two logical states of a qubit are represented by the two lowest levels of each system while a…

Quantum Physics · Physics 2015-05-28 Chui-Ping Yang

Large-scale quantum computers rely on quantum error correction to protect the fragile quantum information. Among the possible candidates of quantum computing devices, silicon-based spin qubits hold a great promise due to their compatibility…

Quantum Physics · Physics 2022-08-31 Kenta Takeda , Akito Noiri , Takashi Nakajima , Takashi Kobayashi , Seigo Tarucha

Qubit coherence and gate fidelity are typically considered the two most important metrics for characterizing a quantum processor. An equally important metric is inter-qubit connectivity as it minimizes gate count and allows implementing…

Using error correcting codes and fault tolerant techniques, it is possible, at least in theory, to produce logical qubits with significantly lower error rates than the underlying physical qubits. Suppose, however, that the gates that act on…

Quantum Physics · Physics 2016-12-06 M. B. Hastings

We propose an effective realization of the universal set of elementary quantum gates in solid state quantum computer based on macroscopic (or mesoscopic) resonance systems - multi-atomic coherent ensembles, squids or quantum dots in quantum…

Quantum Physics · Physics 2013-01-11 F. M. Ablayev , S. N. Andrianov , S. A. Moiseev , A. V. Vasiliev

The spin states of single electrons in gate-defined quantum dots satisfy crucial requirements for a practical quantum computer. These include extremely long coherence times, high-fidelity quantum operation, and the ability to shuttle…

Semiconductor double quantum dot hybrid qubits are promising candidates for high-fidelity quantum computing. However, their performance is limited by charge noise, which is ubiquitous in solid-state devices, and phonon-induced dephasing.…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Yuan-Chi Yang , S. N. Coppersmith , Mark Friesen

Verifying the correct functioning of quantum gates is a crucial step towards reliable quantum information processing, but it becomes an overwhelming challenge as the system size grows due to the dimensionality curse. Recent theoretical…

As the effort to scale up existing quantum hardware proceeds, it becomes necessary to schedule quantum gates in a way that minimizes the number of operations. There are three constraints that have to be satisfied: the order or dependency of…

Quantum Physics · Physics 2018-08-28 Gian Giacomo Guerreschi , Jongsoo Park

Scalable superconducting quantum processors require balancing critical constraints in coherence, control complexity, and spectral crowding. Fixed-frequency architectures suppress flux noise and simplify control via all-microwave operations…

Quantum Physics · Physics 2025-10-17 Kui Zhao , Wei-Guo Ma , Ziting Wang , Hao Li , Kaixuan Huang , Yun-Hao Shi , Kai Xu , Heng Fan

Existing quantum compilers optimize quantum circuits by applying circuit transformations designed by experts. This approach requires significant manual effort to design and implement circuit transformations for different quantum devices,…

Programming Languages · Computer Science 2022-05-03 Mingkuan Xu , Zikun Li , Oded Padon , Sina Lin , Jessica Pointing , Auguste Hirth , Henry Ma , Jens Palsberg , Alex Aiken , Umut A. Acar , Zhihao Jia

Single-qubit operations on singlet-triplet qubits in GaAs double quantum dots have not yet reached the fidelities required for fault-tolerant quantum information processing. Considering experimentally important constraints and using…

Quantum Physics · Physics 2021-01-25 Pascal Cerfontaine , Tim Botzem , David P. DiVincenzo , Hendrik Bluhm

The implementation of fault-tolerant quantum gates on encoded logic qubits is considered. It is shown that transversal implementation of logic gates based on simple geometric control ideas is problematic for realistic physical systems…

Quantum Physics · Physics 2009-10-30 R. Nigmatullin , S. G. Schirmer

A challenge in building large-scale superconducting quantum processors is to find the right balance between coherence, qubit addressability, qubit-qubit coupling strength, circuit complexity and the number of required control lines. Leading…

Quantum Physics · Physics 2020-10-27 S. Krinner , P. Kurpiers , B. Royer , P. Magnard , I. Tsitsilin , J. -C. Besse , A. Remm , A. Blais , A. Wallraff

Running a quantum circuit on current hardware involves a sequence of engineering decisions, each with tunable parameters and distinct error characteristics. Existing tools optimize each decision in isolation, leaving practitioners unable to…

Quantum Physics · Physics 2026-05-13 Kisho Sotokawa , Hideaki Kawaguchi , Shin Nishio , Takahiko Satoh

Quantum circuit synthesis is the process in which an arbitrary unitary operation is decomposed into a sequence of gates from a universal set, typically one which a quantum computer can implement both efficiently and fault-tolerantly. As…

Quantum Physics · Physics 2016-10-17 Olivia Di Matteo , Michele Mosca

Composite pulses are an efficient tool for robust quantum control. In this work, we derive the form of the composite pulse sequence to implement robust single-qubit gates in a three-level system, where two low-energy levels act as a qubit.…

Quantum Physics · Physics 2021-05-27 Zhi-Cheng Shi , Hai-Ning Wu , Li-Tuo Shen , Yan Xia , X. X. Yi , Shi-Biao Zheng

Using virtual spin formalism it is shown that a quantum particle with eight energy levels can store three qubits. The formalism allows to realize a universal set of quantum gates. Feasible formalism implementation is suggested which uses…

Quantum Physics · Physics 2009-11-06 Alexander R. Kessel , Vladimir L. Ermakov
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