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We propose a scheme for implementing the CNOT gate over qubits encoded in a pair of electron spins in a double quantum dot. The scheme is based on exchange and spin orbit interactions and on local gradients in Zeeman fields. We find that…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Jelena Klinovaja , Dimitrije Stepanenko , Bertrand I. Halperin , Daniel Loss

CNOT gates are fundamental to quantum computing, as they facilitate entanglement, a crucial resource for quantum algorithms. Certain classes of quantum circuits are constructed exclusively from CNOT gates. Given their widespread use, it is…

Artificial Intelligence · Computer Science 2026-02-24 Riccardo Romanello , Daniele Lizzio Bosco , Jacopo Cossio , Dusan Sutulovic , Giuseppe Serra , Carla Piazza , Paolo Burelli

We present a universal set of quantum gate operations based on exchange-only spin qubits in a double quantum dot, where each qubit is obtained by three electrons in the (2,1) filling. Gate operations are addressed by modulating…

Quantum Physics · Physics 2018-09-05 Marco De Michielis , Elena Ferraro , Marco Fanciulli , Enrico Prati

Current experimental quantum computing devices are limited by noise, mainly originating from entangling gates. If an efficient gate sequence for an operation is unknown, one often employs layered parameterized quantum circuits, especially…

Quantum Physics · Physics 2025-11-12 Tom R. Rieckmann , Stefan Scheel , A. Douglas K. Plato

A single physical interaction might not be universal for quantum computation in general. It has been shown, however, that in some cases it can generate universal quantum computation over a subspace. For example, by encoding logical qubits…

Quantum Physics · Physics 2007-05-23 M. Hsieh , J. Kempe , S. Myrgren , K. B. Whaley

We propose a method for implementation of an universal set of one- and two-quantum-bit gates for quantum computation in the system of two coupled electrons with constant non-diagonal exchange interaction. Suppression of the exchange…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 A. V. Nenashev , A. F. Zinovieva , A. V. Dvurechenskii , A. Yu. Gornov , T. S. Zarodnyuk

Quantum computing is currently strongly limited by the impact of noise, in particular introduced by the application of two-qubit gates. For this reason, reducing the number of two-qubit gates is of paramount importance on noisy…

Single qubit rotations and two-qubit CNOT operations are crucial ingredients for universal quantum computing. While high fidelity single qubit operations have been achieved using the electron spin degree of freedom, realizing a robust CNOT…

Quantum Physics · Physics 2018-02-02 D. M. Zajac , A. J. Sigillito , M. Russ , F. Borjans , J. M. Taylor , G. Burkard , J. R. Petta

We develop a systematic method of performing corrected gate operations on an array of exchange-coupled singlet-triplet qubits in the presence of both fluctuating nuclear Overhauser field gradients and charge noise. The single-qubit control…

Quantum Physics · Physics 2013-04-12 J. P. Kestner , Xin Wang , Lev S. Bishop , Edwin Barnes , S. Das Sarma

The utility of a quantum computer depends heavily on the ability to reliably perform accurate quantum logic operations. For finding optimal control solutions, it is of particular interest to explore model-free approaches, since their…

Quantum Physics · Physics 2024-06-17 Ho Nam Nguyen , Felix Motzoi , Mekena Metcalf , K. Birgitta Whaley , Marin Bukov , Markus Schmitt

We present pulse sequences for two-qubit gates acting on encoded qubits for exchange-only quantum computation. Previous work finding such sequences has always required numerical methods due to the large search space of unitary operators…

Quantum Physics · Physics 2014-07-23 Daniel Zeuch , R. Cipri , N. E. Bonesteel

Quantum computation requires qubits that can be coupled and realized in a scalable manner, together with universal and high-fidelity one- and two-qubit logic gates \cite{DiVincenzo2000, Loss1998}. Strong effort across several fields have…

Efficient operation sequences to couple and interchange quantum information between quantum dot spin qubits of different kinds are derived using exchange interactions. In the qubit encoding of a single-spin qubit, a singlet-triplet qubit,…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Sebastian Mehl , David P. DiVincenzo

The three-spin-$1/2$ decoherence-free subsystem defines a logical qubit protected from collective noise and supports exchange-only universal gates. Such logical qubits are well-suited for implementation with electrically-defined quantum…

Quantum Physics · Physics 2019-04-26 James. R. van Meter , Emanuel Knill

We show how to construct a universal set of quantum logic gates using control over exchange interactions and single- and two-spin measurements only. Single-spin unitary operations are teleported instead of being executed directly, thus…

Quantum Physics · Physics 2016-09-08 L. -A. Wu , D. A. Lidar

Single qubit rotation gate and the controlled-NOT (CNOT) gate constitute a complete set of gates for universal quantum computation. In general the CNOT gate are only for two nearby qubits. For two qubits which are remote from each other, we…

Quantum Physics · Physics 2009-09-29 Gui-Fang Dang , Heng Fan

How to implement multi-qubit gates efficiently with high precision is essential for realizing universal fault tolerant computing. For a physical system with some external controllable parameters, it is a great challenge to control the time…

Quantum Physics · Physics 2019-07-24 Zheng An , D. L. Zhou

In conventional exchange-only (EO) spin qubit demonstrations, quantum gates have been implemented using sequences of individually pulsed pairwise exchange interactions with only one exchange coupling active at a time. Alternatively,…

Quantum Physics · Physics 2025-08-15 Joseph D. Broz , Jesse C. Hoke , Edwin Acuna , Jason R. Petta

We demonstrate how using two-qubit composite rotations a high fidelity controlled-NOT (CNOT) gate can be constructed, even when the strength of the interaction between qubits is not accurately known. We focus on the exchange interaction…

Quantum Physics · Physics 2009-11-13 M. J. Testolin , C. D. Hill , C. J. Wellard , L. C. L. Hollenberg

We investigate capacitively coupled two-qubit quantum gates based on quantum dots. For exchange-only coded qubits electron spin $S$ and its projection $S_z$ are exact quantum numbers. Capacitive coupling between qubits, as distinct from…

Mesoscale and Nanoscale Physics · Physics 2016-01-26 Arijeet Pal , Emmanuel I. Rashba , Bertrand I. Halperin
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