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We discuss a measurement-based implementation of a controlled-NOT (CNOT) quantum gate. Such a gate has recently been discussed for free electron qubits. Here we extend this scheme for qubits encoded in product states of two (or more)…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 Oded Zilberberg , Bernd Braunecker , Daniel Loss

In this work, we introduce a general n-qubit formulation of control objectives that allows a control target to be specified in a diagonal frame, so that only the diagonal entries must be characterized, thus quadratically reducing the…

Quantum Physics · Physics 2026-02-23 Bora Baran , Tommaso Calarco , Matthias M. Mueller , Felix Motzoi

Reducing errors in quantum gates is critical to the development of quantum computers. To do so, any distortions in the control signals should be identified, however, conventional tools are not always applicable when part of the system is…

Quantum Physics · Physics 2024-08-23 M. F. Gely , J. M. Litarowicz , A. D. Leu , D. M. Lucas

The selective number-dependent arbitrary phase (SNAP) gates form a powerful class of quantum gates, imparting arbitrarily chosen phases to the Fock states of a cavity. However, for short pulses, coherent errors limit the performance. Here…

This paper presents novel methods for optimizing multi-controlled quantum gates, which naturally arise in high-level quantum programming. Our primary approach involves rewriting $U(2)$ gates as $SU(2)$ gates, utilizing one auxiliary qubit…

Quantum Physics · Physics 2025-03-12 Evandro C. R. Rosa , Eduardo I. Duzzioni , Rafael de Santiago

We consider the implementation of two-qubit gates when the physical systems used to realize the qubits possess additional quantum states in the accessible energy range. We use optimal control theory to determine the maximum achievable gate…

Quantum Physics · Physics 2022-04-26 Sahel Ashhab , Fumiki Yoshihara , Tomoko Fuse , Naoki Yamamoto , Adrian Lupascu , Kouichi Semba

We propose a scheme for implementation of logical gates in a trapped ion inside a high-Q cavity. The ion is simultaneously interacting with a (classical) laser field as well as with the (quantized) cavity field. We demonstrate that simply…

Quantum Physics · Physics 2016-01-11 F. L. Semiao , A. Vidiella-Barranco , J. A. Roversi

We propose a new protocol to implement ultra-fast two-qubit phase gates with trapped ions using spin-dependent kicks induced by resonant transitions. By only optimizing the allocation of the arrival times in a pulse train sequence the gate…

Quantum Physics · Physics 2020-10-28 E. Torrontegui , D. Heinrich , M. I. Hussain , R. Blatt , J. J. García-Ripoll

We design composite controlled-phase gates, which compensate errors in the phase of a single gate. The errors can be of various nature, such as relative, absolute or both. We present composite sequences which are robust to relative errors…

Quantum Physics · Physics 2015-09-02 Svetoslav S. Ivanov , Nikolay V. Vitanov

A simple scheme is presented for realizing robust optically controlled quantum gates for scalable atomic quantum processors by driving the qubits with optical standing waves. Atoms localized close to the antinodes of the standing wave can…

Quantum Physics · Physics 2023-03-15 Shannon Whitlock

We demonstrate that in a coupled two-qubit system any single-qubit gate can be decomposed into two conditional two-qubit gates and that any conditional two-qubit gate can be implemented by a manipulation analogous to that used for a…

Quantum Physics · Physics 2009-11-11 Zhongyuan Zhou , Shih-I Chu , Siyuan Han

We introduce a scheme for realizing arbitrary controlled-unitary operations in a two qubit system. If the 2 \times 2 unitary matrix is special unitary (has unit determinant), the controlled-unitary gate operation can be realized in a single…

Quantum Physics · Physics 2015-06-04 Preethika Kumar , Steven R. Skinner

We propose a hybrid quantum system consisting of a magnetic particle inductively coupled to two superconducting transmon qubits, where qubit-qubit interactions are mediated via magnons. We show that the system can be tuned into three…

Quantum state manipulation with gates based on geometric phases acquired during cyclic operations promises inherent fault-tolerance and resilience to local fluctuations in the control parameters. Here we create a general non-Abelian and…

Quantum Physics · Physics 2018-04-06 S. Danilin , A. Vepsäläinen , G. S. Paraoanu

Two-qubit interactions are at the heart of quantum information processing. For single-spin qubits in semiconductor quantum dots, the exchange gate has always been considered the natural two-qubit gate. The recent integration of magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 T. Meunier , V. E. Calado , L. M. K. Vandersypen

Compared with a qubit, a qudit (i.e., $d$-level or $d$-state quantum system) provides a larger Hilbert space to store and process information. On the other hand, qudit-based hybrid quantum computing usually requires performing hybrid…

Quantum Physics · Physics 2022-08-30 Qi-Ping Su , Yu Zhang , Liang Bin , Chui-Ping Yang

We present a theoretical study of single-qubit operations by oscillatory fields on various semiconductor platforms. We explicitly show how to perform faster gate operations by going beyond the universally-used rotating wave approximation…

Mesoscale and Nanoscale Physics · Physics 2016-07-22 Yang Song , J. P. Kestner , Xin Wang , S. Das Sarma

The holonomic approach to controlling (nitrogen-vacancy) NV-center qubits provides an elegant way of theoretically devising universal quantum gates that operate on qubits via calculable microwave pulses. There is, however, a lack of…

Quantum Physics · Physics 2022-02-17 Shaman Bhattacharyya , Somnath Bhattacharyya

Nonadiabatic holonomic quantum computation has attracted increasing interest because of its robustness. In this paper, based on the shortcuts to adiabaticity (STA), we propose a scheme to construct a three-qubit nonadiabatic holonomic gate…

Quantum Physics · Physics 2018-12-27 Bi-Hua Huang , Yi-Hao Kang , Zhi-Cheng Shi , Jie Song , Yan Xia

The promise of tremendous computational power, coupled with the development of robust error-correcting schemes, has fuelled extensive efforts to build a quantum computer. The requirements for realizing such a device are confounding:…

Quantum Physics · Physics 2011-08-17 J L O'Brien , G J Pryde , A G White , T C Ralph , D Branning